Suppose f(x) and g(x) are functions of x differentiable at x = 4. Given that f(4) = 3, f'(4) = -2, g(4) = 6, g'(4) = -5, find the value of each of the following.

a. Derivative of f(x) * g(x)

My answer: -27

b. Derivative of (f(x))/(g(x))

My answer: 1/12

c. Derivative of (g(x))/(f(x))

My answer: -1/3

d. A tangent line to f(x) at x = 4.

My answer: -2x + 11

1 answer

looks good to me.

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