$g(2) = 3$ , $g'(2) = -1$ , $h(2) = 4$ and $h'(2) = 5$ . If $f(x) = g(x)h(x)$ , what is $f'(2)$ ?

-5

Correct answerYour answer

10

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11

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12

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer C

Correct answer: C

Worth noting

$-5$ is $g'(2)h'(2)$ , the product of the two derivatives.

Ten questions from Derivatives & Second-Order Derivatives, at your own pace.

Ten questions from Derivatives & Second-Order Derivatives, at your own pace.

g(2)=3g(2) = 3g(2)=3, g′(2)=−1g'(2) = -1g′(2)=−1, h(2)=4h(2) = 4h(2)=4 and h′(2)=5h'(2) = 5h′(2)=5. If f(x)=g(x)h(x)f(x) = g(x)h(x)f(x)=g(x)h(x), what is f′(2)f'(2)f′(2)?