Question

what is the derivative of f(x) = cos[sec^-1(e^x)]

Answer 1

sec^-1 is 1/sec is cos
f(x)=cos(cos(e^x)
f'(x)= sin(cos(e^x))sin(e^x)e^x

Answer 2

-e^-x

Answer 3

So f(x)= sin(cos(e^x))sin(e^x)-e^-x?

Answer 4

my answer is correct but i m lazy to type everything down...he messed up in chaain rule