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## when to use chain rule

We use the product rule when differentiating two functions multiplied together, like f (x)g (x) in general. How do you find the derivative of #y= 10^(1-x^2)# ? How do you differentiate # f(x)=1/sqrt((7-2x^3)# using the chain rule.? The chain rule is one of the toughest topics in Calculus and so don't feel bad if you're having trouble with it. How do you find the derivative of #f(x)=ax^2+bx+c#? How do you differentiate #y= (2e^x) / (1+e^x) #? How do you find the derivative of #p(x)=f(g(h(k(x))))#? If #f(x)= sin(- x -1) # and #g(x) = 4x^2 -5 #, how do you differentiate #f(g(x)) # using the chain rule? Section 2-6 : Chain Rule. How do you differentiate #ln[(x^4-3x^3+1)^(1/2)] #? If #f(x) =-e^(2x+4) # and #g(x) = tan3x #, what is #f'(g(x)) #? How do you find f'(0) given #f(x) =( (x^5+5)/(3cosx))^2#? Example 1: Find f′( x) if f( x) = (3x 2 + 5x − 2) 8. How do you differentiate #f(x)=(2x^2-6x+1)^-8#? How do you differentiate #f(x)=sin(e^(3x)) # using the chain rule? How do you differentiate #f(x)=(ln(sinx)^2/(x^2ln(cos^2x^2)# using the chain rule? The chain rule gives us that the derivative of h is . How do you differentiate # f(x)= (7e^x+x)^2 # using the chain rule.? How do you differentiate #f(x) = 1/sqrt(sin^2(2-x^2) # using the chain rule? How do you differentiate #f(x)=sqrt(ln2x)# using the chain rule? How do you differentiate #f(x)=cot(e^(1/x)) # using the chain rule? Confirm that U (ξ, η) =-1 4 η-1 24 η 2 + 1 4 ξ + 3 8 ξ 2 is a solution of this canonical PDE and that it satisfies the required prescribed data. If #f(x)= 3x^3-2 # and #g(x) = e^(2x #, what is #f'(g(x)) #? How do you differentiate #f(x) = sqrt((5x+1)^2+(2x-1))# using the chain rule? How do you differentiate #f(x)=sin(3e^(x^2)+1)# using the chain rule? How do you use the chain rule to differentiate #y=root5(x^2-3)/(-x-5)#? How do you find the derivative of #f(x) = cos(pi/2)x# using the chain rule? What is the derivative of #sqrt(x^2+2x-1)#? How do you differentiate #y = ln(x^(1/2))#? How do you differentiate # y =4x ln(3x + 2)# using the chain rule? How do you differentiate #f(x)=csc(1/x^3) # using the chain rule? How do you differentiate #f(x) = cos (3x -3)# using the chain rule? How do you find the derivative of #y=lnsqrt(8x-4)#? How do you differentiate #f(x)=tan(e^x) # using the chain rule? What is the derivative of #sqrt(x+13) / ((x-4)(root3(2x+1))#? How do you differentiate #f(x)=(x^4 - 2x^2)^6#? How do you differentiate #f(x)=cos(sqrt((cosx^2))) # using the chain rule? How do you differentiate #f(x)=e^(x^2+x+8) # using the chain rule? How do you differentiate #f(x)=root4(1+2x+x^3)#? How do you differentiate #f(x)= ln(1-x)^4#? How do you find the derivative of #y=tanh(6+e^(6x))#? How do you use the chain rule to differentiate #sin(e^(6x))#? Example 2: Find f′( x) if f( x) = tan (sec x). How do you find the derivative of #s=[(t^2+1)^3+t]^-1#? If #f(x)= tan8 x # and #g(x) = e^(-3x ) #, how do you differentiate #f(g(x)) # using the chain rule? How do you calculate the derivative of #r= 2thetasqrt(sec theta)#? How do you differentiate #y=[x(x+sin^2x)^3]^4#? 2) Use the chain rule and the power rule after the following transformations. If #f(x) =-e^(-3x-7) # and #g(x) = (lnx)^2 #, what is #f'(g(x)) #? How do you differentiate #f(x)=(1/(x-3)^2)^2# using the chain rule? If #f(x)= tan5 x # and #g(x) = 2x^2 -1 #, how do you differentiate #f(g(x)) # using the chain rule? How do you differentiate # y =-(e^(x-sin^2x)# using the chain rule? How do you differentiate #f(x)=1/(x-3)^2# using the chain rule? How do you differentiate #f(x)=(x^2+4x+6)^5#? How would you solve this using the chain rule? How do you use the chain rule to differentiate #1/ln(4x)#? How do you use the chain rule to differentiate #y=2(x+3)^(1/2)#? How do you find the derivative of #y=6sin(2t) + cos(4t)#? How do you find the derivative of #y = cos^3(3x+1)#? How do you differentiate #f(x)=e^(4^(1/(x^2)))# using the chain rule? If #f(x)= sec 9x # and #g(x) = sqrt(2x-3 #, how do you differentiate #f(g(x)) # using the chain rule? How do you differentiate #f(x) = 1/sqrt(arctan(2x^3) # using the chain rule? How do you differentiate # (e^(2x) + 2x) ^0.5#? If #f(x)= sin6x # and #g(x) = sqrt(x+3 #, how do you differentiate #f(g(x)) # using the chain rule? If #f(x)= - e^x # and #g(x) = sqrtx #, how do you differentiate #f(g(x)) # using the chain rule? How do you differentiate #f(x)=arccos(tan(1/(1-x^2)) )# using the chain rule? How do you differentiate #y = (sqrt(cos x))/(5lnx)#? How do you differentiate #f(x)=(x^4 - 2x^2)^6# using the chain rule? How do you differentiate #f(x)=tan(1-3x^2) # using the chain rule? How do you use the chain rule to differentiate #f(x)=sin(cos(tan(x^3+sin(x^2))))#? Let us find the derivative of . How do you differentiate #f(x)=(ln(x^2-3x)^-1)^(3/2)# using the chain rule? How do you find the first and second derivative of #y=e^(alphax)sinbetax#? How do you differentiate #f(x)=sqrt(e^(5x^2+x+3) # using the chain rule? If #f(x)= cot5 x # and #g(x) = 2x^2 -1 #, how do you differentiate #f(g(x)) # using the chain rule? How do you find f" given #f(x)= (6x + 5)^(1/3)#? Example. If #f(x) =csc^3(x/2) # and #g(x) = sqrt(2x+3 #, what is #f'(g(x)) #? How do you differentiate #f(x)=(x^3-5x)^4#? How do you differentiate #f(x)=sec(1/x^3)# using the chain rule? How do you differentiate #f(x)=x(1+e^(x^2))^(1/5)# using the chain rule? How do you differentiate # y =1/sqrtln(x^2-3x)# using the chain rule? How do you differentiate #f(x)=ln((x^3-x ^2 -3x + 1) ^(2/5))# using the chain rule? How do you find the derivative for #(-7x^2+8)^8(3x^2+9)^10#? How do you differentiate # y=sqrt(sec (x^2/pi - xpi))-sec (sqrt(x^2/pi - xpi))# using the chain rule? We will have the ratio How do you differentiate #f(x)=sqrt(((3x^2-x^3)/(x-3x^2))# using the chain rule? How do you find the derivative of #f(x) = -5 e^{x \cos x}# using the chain rule? How do you find the derivative of #y = lnx^2#? How do I find the derivative of #y=ln(secx + tanx)#? How do you differentiate #g(x)=(1+4x)^5(3+x-x^2)^8#? Find second derivative of #y# if #x^6+y^6=1#? How do you differentiate # f(x)=ln(6x+8)# using the chain rule.? How do you differentiate # f(x)= (xe^x+x)^2 # using the chain rule.? Are they simply different forms of each other? How do you differentiate #f(x)=(2x-cos^3x)^2-(lnx)^2# using the chain rule? The chain rule is often one of the hardest concepts for calculus students to understand. How do you find the derivative of #r(x)= (0.3x-4.9x^-1)^0.5#? How do you find the derivative of #y=(3x^5 - 4x^3 + 2)^23# using the chain rule? How do you use the chain rule to differentiate #r=sec2thetatan2theta#? In differential calculus, we use the Chain Rule when we have a composite function. How do you use the chain rule to differentiate #y=(4x+5)^5#? How do you use the chain rule to differentiate #y=(x-1/x)^(3/2)#? What is the derivative of #sqrt(x - 1)/sqrtx#? Let’s look at an example of how these two derivative rules would be used together. If #f(x)= 2 x^2 + x # and #g(x) = sqrtx + 1 #, how do you differentiate #f(g(x)) # using the chain rule? What is the derivative of # f(x)= x^(4/5) (x-5)^2#? How do you differentiate #y = (sin(3x) + cot(x^3))^8#? How do you differentiate #f(x)=e^((x^2+x^(1/2))^(1/2) )# using the chain rule? How do you use the chain rule to differentiate #root3(-4x)#? Using the point-slope form of a line, an equation of this tangent line is or . Is there more than one way to differentiate #(2x+1)^2/(2x+4)#? What is the derivative of #f(x)= 2^(3x)#? Removing #book# How do you find the derivative of #f(x) = (x^3-3)/x#? How do you differentiate # f(x)= (xe^x+4)^3 # using the chain rule.? How do you differentiate #arccos(tan(1/x) )# using the chain rule? How do you find the derivative of #x(sqrt(2x-3))#? Example 5: Find the slope of the tangent line to a curve y = ( x 2 − 3) 5 at the point (−1, −32). How do you differentiate #arcsin(csc(4x)) )# using the chain rule? What is the derivative of # y= ln(2x)/x^2#? How do you find the derivative for #sqrt(2x^3 - 3x- 4)#? How do you differentiate #f(x)=sec(3x^3-x^2 ) # using the chain rule? How do you find the 50th derivative of #y=cos2x#? It’s also one of the most important, and it’s used all the time, so make sure you don’t leave this section without a solid understanding. We know: We just have to find our two functions, find their derivatives and input into the Chain Rule expression. What is the derivative of #ln(sqrt(sin(2x)))#? Use the chain rule to calculate h′(x), where h(x)=f(g(x)). How do you find the derivative of #-2x(x^2+3)^-2#? How do you use the chain rule to differentiate #y=8(x^4-x+1)^(3/4)#? If #f(x) =xe^(5x+4) # and #g(x) = sin3x #, what is #f'(g(x)) #? How do you differentiate #f(x)=x * (4-x^2)^(1/2)# using the chain rule? For example, if a composite function f (x) is defined as How do you find the derivative of #f(x)=(8x+3)^.5#? How do you find the derivative of #h(x)=f(x^2)# using the chain rule? If #f(x)= (5x -1)^3 # and #g(x) = 3x^( 2/3 ) #, what is #f'(g(x)) #? If #f(x)= cos 4 x # and #g(x) = -3x #, how do you differentiate #f(g(x)) # using the chain rule? How do you find the second derivative of #ln(sqrtx)#? How do you use the chain rule to differentiate #root9(e^(6x))#? Next How do you use the chain rule to differentiate #y=1/root5(2x-1)#? How do you differentiate #sqrt(2x^3 - 3x- 4)#? How do you use the chain rule to differentiate #root9(-cosx)#? How do you use the chain rule to differentiate #(sinx)^10#? How do you differentiate #f(x)=e^tan(1/x^2) # using the chain rule? How do you find the derivative of #f(x)=ln(ln(7x))+ln(ln6)#? Can you explain how the chain rule work in real life? How do you differentiate #f(x)=csc(sqrt(2x)) # using the chain rule? When to Use Chain Rule. What is the derivative of # ( cos (pi*x) +1 ) / x#? How do you use the chain rule to differentiate #f(x)=sin(tan(5+1/x)-7x)#? How do you differentiate #f(x)=sqrttan(2-x^3) # using the chain rule? How do you use the chain rule to differentiate #y=(3x-1)(-3x^2-4)^-3#? How do you use the chain rule to differentiate #y=(x^2+1)^(1/2)#? How do you use the chain rule to differentiate #y=(4x^3-7)^4(3x+2)^10#? Let's keep it simple and just use the chain rule and quotient rule. If #f(x)= (5x -1)^3-2 # and #g(x) = e^x #, what is #f'(g(x)) #? How do you differentiate # y =sqrt( x + sqrtx )# using the chain rule? People ask this question all the time. How do you differentiate #y=3cot(ntheta)#? How do you differentiate # f(x)=e^sqrt(1/x)# using the chain rule.? How do you differentiate #f(x)=tan(3x-x^2) # using the chain rule? How do you find the derivative of #(cos x)^2 - cos x#? How do you use the chain rule to differentiate #y=(x^4+3x)^-2#? How do you find the derivative for #k(x) = sin (x^2+2)#? How do you find the derivative of #g(t)=1+2cos(((2pi)/5)(t-3))# using the chain rule? Let's see what that looks like mathematically: Let's say we have the composite function #sin(5x)#. How do you differentiate #y= sqrt(1+x^2)#? How do you find the derivatives of the function #f(x) = sin(x^2)#? What is the derivative of #3*(sqrt x) - (sqrtx^3)#? Ask Question Asked 28 days ago. How do you differentiate # f(x)=x/sqrt(3-xe^x)# using the chain rule.? How do you find the derivative of #ln(x^2+1)#? How do you find the derivative of #f(t)=(4-t)^3#? Converting metric units worksheet. How do you differentiate #f(x)=sec(1/sqrtx ) # using the chain rule? How do you use the chain rule to differentiate #y=root4(-3x^4-2)#?