Question: Suppose that f has a continuous second derivative for all x, and that f(0)=1 , f’(0)=2, and f’’(0)=0.

a. Let g’(x) = (3(x^2)+2)f(x)+((x^3)+2x+5)f’(x). The point (0,5) is on the graph of g. Write the equation of the tangent line to g at this point

b. Use tangent line to approximate g(0.3)