Question

Find dy/dx

y=cos^7(sin3x)

Answer 1

hi

Answer 2

\[\frac{ dy }{ dx }\cos ^{7}(\sin(3x)) = \]

Answer 3

right?

Answer 4

\[\frac{ d }{ dx }\cos^{7}[\sin(3x)] = \frac{ d }{ dx } [\cos(\sin(3x))^7 ]\]

Answer 5

gonna be using the chain rule a couple times

Answer 6

\[7 * \cos(\sin(3x))^6 * \frac{ d }{ dx }[\cos(\sin(3x))]\]

Answer 7

\[7*\cos(\sin(3x))^6 * -\sin(\sin(3x)) * \frac{ d }{ dx }3x\]

Answer 8

\[-21*\cos(3x) * \sin[\sin(3x)] * [\cos(\sin(3x))]^6\]

Answer 9

Final answer