Question

derivative of

cos^5 (pix-13)

Answer 1

You need to use the chain rule here: so the answer is (4 x cos^4 (pix - 13)) x (-sin( pix - 13)) x pi.

Answer 2

Where did you get the 4 from?

Answer 3

Oh sorry replace the 4 in front with a 5! so the first part should be ( 5cos^4(pix -13))(-sin(pix - 13))(pi)

Answer 4

So the whole answer is what I posted above - that's not just the first part

Answer 5

So the (-sin) shouldn't be raised to the 5?

Answer 6

nope! because the first part of the chain rule is finding the derivative of (x^5), and the second is finding the derivative of (cos x), and the third part of the chain rule is finding the derivative of (pix - 13).

Answer 7

so you already took care of the raising to the 5 in the first part of the answer, where we have that termed raised to the 4.

Answer 8

Oh okay thank you. I get it now