Question

Please show step-by-step work ifpossible.

Thank you in advance!

The twice-differentiable function f is defined for all real numbers and satisfies the following conditions The function g is given by g(x) = e2x+f (x) for all real numbers, where a is a constant Find g '(0) and g "(0) in terms of a Show the work that leads to your answers The function h is given by h(x) = cos (kx) f (x) + sin (x) for all real numbers, where k is a constant Find h' (x) and write an equation for the line tangent to the graph of h at x=0

Show transcribed image text The twice-differentiable function f is defined for all real numbers and satisfies the following conditions The function g is given by g(x) = e2x+f (x) for all real numbers, where a is a constant Find g '(0) and g "(0) in terms of a Show the work that leads to your answers The function h is given by h(x) = cos (kx) f (x) + sin (x) for all real numbers, where k is a constant Find h' (x) and write an equation for the line tangent to the graph of h at x=0