The twice-differentiable function f is defined for all real numbers and satisfies the following conditions: f(0)=-2, f'(0)=3, f"(0)=-1
(AP Calculus AB- Help- Please explain and show work to help me learn and understand)
1) The function g is given by g(x)=tan(ax)+f(x) for all real numbers, where a is a constant. Find g'=(0) and g"=(0) in terms of a.
2) The function h is given by h(x)=sin(kx)*f(x) for all real numbers, where k is a constant. Find h'=(x) and find an equation for the line tangent to the graph of h at x=0.