SOLUTION: Please help me with this: Suppose f(x) = {{{e^x}}} and g(x) = cosx and h(x) = ( f o g)(x). Find the equation of h' and evaluate h'{{{(pi/2)}}}

Algebra ->  Test -> SOLUTION: Please help me with this: Suppose f(x) = {{{e^x}}} and g(x) = cosx and h(x) = ( f o g)(x). Find the equation of h' and evaluate h'{{{(pi/2)}}}      Log On


   

Question 1032914: Please help me with this:
Suppose f(x) = e%5Ex and g(x) = cosx and h(x) = ( f o g)(x). Find the equation of h' and evaluate h'%28pi%2F2%29
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
h%28x%29+=+%28fog%29%28x%29+=+e%5Ecosx ==> h'(x) = -sinx%2Ae%5Ecosx
==> h'(pi%2F2) = -sin%28pi%2F2%29%2Ae%5Ecos%28pi%2F2%29+=+-1%2Ae%5E0+=+-1