Write the composite function in the form f(g(x)). [Identify the inner function u = g(x)

Question

Write the composite function in the form f(g(x)).

 [Identify the inner function u = g(x)

 and the outer function y = f(u).]

(g(x), f(u)) =

 

 

Find the derivative dy/dx.

dy

dx

 = 

 

Answer 1

the obvious solution is g(x) = 7sqrt(x) and f(x) = exp(x)

deriv. = f''g' = exp(7sqrt(x))*7/(2sqrt(x))