If f(0)=1, f'(0)=3, g(0)=3, and g'(0)=4; What is d/dx [(f(x))^2 * g(x)] at x=0?

Question

Test tomorrow, please help!

Answer 1

Use the product formula for the derivative to get

dy/dx = f²(x)*g(x) + 2f(x)f"(x)*g(x)

Now just plug the values in to get your answer.