Question

Use the chain rule to differentiate the following function.f(x)=(5x+sin^3(x)+sinx^3)^3

Answer 1

$f(x)=(5x+\sin^3(x)+\sin x^3)^3\\\frac{df(x)}{dx}=3(5x+\sin^3(x)+\sin x^3)^2\cdot (5+3\sin^2x\cos x+3x^2\cos x^3)$