Answer to Question #167831 in Calculus for Vishal

Question

Find f'(x) of f(x)= sin[(sin⁷x⁷ + 1)⁷]

Answer 1

Let us find $f'(x)$ of $f(x)= \sin[(\sin^7x^7 + 1)^7]$

$f'(x)= \cos[(\sin^7x^7 + 1)^7]\cdot 7(\sin^7x^7 + 1)^6\cdot7\sin^6x^7\cdot \cos x^7\cdot 7x^6=243x^6 \cos[(\sin^7x^7 + 1)^7]\cdot (\sin^7x^7 + 1)^6\cdot\sin^6x^7\cdot \cos x^7$