Question

Help please!! How do I find the derivative of y=e^(sin2theta)?

Answer 1

Is the power (sin(theta))^2 or sin(2*theta)

Answer 2

Cool, do you know the general form of the derivative of e?
\[\frac{d}{dx}[e^u] = e^u * \frac{du}{dx}\]

Answer 3

You rewrite the function, then multiply it by the derivative of the power.

Answer 4

Yeah, basically the derivative of e to whatever power is just e, right?

Answer 5

What? o.o That's not what I said.

Answer 6

Like, what's the derivative of e^x?

Answer 7

I'm a little confused...

Answer 8

Do you know what the derivative of e^x is at least?

Answer 9

It's e^x, right?

Answer 10

Right, good. So what would e^(2x) be?

Answer 11

e^2x

Answer 12

?

Answer 13

No, the derivative will be e^(2x) times the derivative of (2x).

Answer 14

OH, because of the chain rule?