Question

Find the derivative with respect of x ln(6((cos^5)x))

Answer 1

use the chain rule :)

Answer 2

derivative of cos is -sin
derivative of u^5 is 5u^4
derivative of ln(u) is 1/u

Answer 3

So would the answer be (30cosx^4*-sinx)/(6cos^5x)

Answer 4

yes, but actually it can simplied again
30/6 = 5
cos^4 x / cos^5 x = 1/cosx
so, what's the final answer ?

Answer 5

(-5sinx)/cosx ?

Answer 6

yup, simply again :)
sin/cos = tan

Answer 7

Thank You so much!(:

Answer 8

it can be -5tanx, right ?
you're welcome :)

Answer 9

Well I typed in (-5sinx)/cosx and it was correct(:

Answer 10

great :)