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Derivatives & Second-Order Derivatives · Question 64 of 96

Question 64

EasyOriginal question

For f(x)=x3+2x2−xf(x) = x^{3} + 2 x^{2} - x, what is f′′(1)f''(1)?

Options for question 64

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. f′(x)=3x2+4x−1f'(x) = 3 x^{2} + 4 x - 1 and f′′(x)=6x+4f''(x) = 6 x + 4.

  2. So f′′(1)=10f''(1) = 10.

Worth noting

66 is f′(1)f'(1), one derivative short.

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

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

Practise this chapter →

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