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Derivatives & Second-Order Derivatives · Question 65 of 96

Question 65

EasyOriginal question

For f(x)=e3xf(x) = e^{3 x}, what is f′′(0)f''(0)?

Options for question 65

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. f′(x)=3e3xf'(x) = 3 e^{3 x} and f′′(x)=9e3xf''(x) = 9 e^{3 x}.

  2. So f′′(0)=9f''(0) = 9.

Worth noting

33 is f′(0)f'(0), one derivative short.

Concept
Second derivative at a point
Typical time
60 s
Your time
—
The rule this testsSecond-order derivatives
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