calculus question

[LoudBimmer]

Here's the problem: y=2^sin π x and I need to find derivative of it.

Here's the derivative: (2^sin π x)(π ln2)(cosπ x)

My question is, Why do I need to have π in front of ln2.

π is pi

Edited March 10, 2012 by LoudBimmer

[LoudBimmer]

any math majors?

I'm assuming pi comes when I take a derivative of pi x in the end, but why would it be in front of ln.

[sayhuh?]

Frame of reference.

[blownengine]

The sad thing is that I am in calc 2, my final is monday, and I can't answer that question. haha.

I think it's because pi is a constant multiplier of x so you can bring it out front, but I could be wrong.

Edited March 11, 2012 by blownengine

[LoudBimmer]

Simple chain rule here.

I got a test monday, so need to figure this out before.

Since It's a sin(pix), after taking derivative of sin, which is cos, I would need to take a deriv. of the inside, pix, which would be pi, but after simplifying it, it should be in front of equation.