Originally Posted by

**Munroe** I am in a calculus class and am stuck on two problems ...:

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2.) The twice-differentiable function [FONT=Fixedsys][FONT=Arial Black]f [FONT=Verdana]is defined for all real numbers and satisfies the following conditions: f(0) = 2, f'(0) = -4, and f"(0) = 3.

A.) The function g is given by g(x) = e^ax + f(x) for all real numbers, where a is a constant. Find g'(0) and g"(0) in terms of a.

B.) The function h is given by h(x) = cos(kx)*f(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

Problem #2 I think I have right, but being able to compare with someone elses work would be good, ...