For f(x) = (x^2 - 1)^2, what is f''(2)?

Derivatives & Second-Order Derivatives · Question 67 of 96

Question 67

EasyOriginal question

For $f(x) = \left(x^{2} - 1\right)^{2}$ , what is $f''(2)$ ?

24

Correct answerYour answer

40

Correct answerYour answer

44

Correct answerYour answer

48

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer C

Correct answer: C

Expand: $f(x) = x^{4} - 2x^{2} + 1$ , so $f'(x) = 4x^{3} - 4x$ and $f''(x) = 12x^{2} - 4$ .
$f''(2) = 48 - 4 = 44$ .

Worth noting

24 is $f'(2)$ , the first derivative.

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

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