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Chain rule - Worksheet

Differentiate the following function compositions:

Set A:
sin(4x^3-5)
e^sin(x)
log(e^x)
sin(x^2-1)/cos(x^2+1)
sin^2(3x)
Set B:
f(x) = ln(g(x))
f(x) = e^(g(x))
f(x) = sin(g(x)) + cos(g(x))
f(x)= 4y^3 - 5y^2 + y, where y = 3x^2 - 4
f(x) = [g(x)]^n
Set C:
f(x) = sqrt(x^3+4x-5)
f(x) = ln(x^7-x^-7)
sin(x^2)+cos(2x)
e^t^2+4t
(x^3+4x)^5/ln(x^2+2x)

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