[See Steps] Suppose that f has a continuous second derivative for all x, and that f(0)=1 , f’(0)=2, and f’’(0)=0. Let g’(x) = (3(x^2)+2)f(x)+((x^3)+2x+5)f’(x).

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

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
Use tangent line to approximate g(0.3)
Find g’’(0)

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[See Steps] Suppose that f has a continuous second derivative for all x, and that f(0)=1 , f’(0)=2, and f’’(0)=0. Let g’(x) = (3(x^2)+2)f(x)+((x^3)+2x+5)f’(x).

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