Question

Differentiate logarithmically:
y = (sinx)^(2x) y= sinx to the power of 2x

Answer 1

\[y = (sinx)^{2x}\]

Answer 2

apply ln on both sides

Answer 3

\[y=\left( \sin x \right)^{2x},\ln y=2x \ln \sin x\]

Answer 4

yep, and then differentiate

Answer 5

and then solve for y'

Answer 6

yes. Now differentiate

Answer 7

Oh thank you guys, I see were I was messing up. Thank you!!!!!!!!