Question

Find dy/dx

Answer 1

\[y = x ^{\cos(x)}\]

Answer 2

Logarithms I am assuming

Answer 3

either that, or work straight from the definition of an exponential function
\[\large x^{\cos(x)}=e^{\cos(x)\ln(x)}\] by definition

Answer 4

the work is identical, it comes down to using the product rule to find the derivative of
\[\cos(x)\ln(x)\]

Answer 5

multiply your result by
\[\large x^{\cos(x)}\] once you find it

Answer 6

x^(cosx)[-sinxlnx+(cosx/x)]

Answer 7

looks right to me

Answer 8

Thanks for the help

Answer 9

yw