Question

trigonometric functions

Answer 1

y=\[\sin ^{2}\left(\begin{matrix}3 \\ x ^{2}\end{matrix}\right)\]

Answer 2

\[\sin^2(\frac{3}{x^2})\]?

Answer 3

yeah

Answer 4

derivatives of trigo

Answer 5

chain rule
the derivative of something squared is two times something
the derivative of sine is cosine
the derivative of \(\frac{3}{x^2}\) is \(-\frac{6}{x^4}\)

Answer 6

you get
\[2\sin(\frac{3}{x^2})\cos(\frac{3}{x^2})\times -\frac{6}{x^3}\]

Answer 7

clean up with a little algebra