Match each function in List I with its second derivative in List II.

Match each function in List I with its second…

Question 88

MediumOriginal question

Match each function in List I with its second derivative in List II.

List I	List II
A. $y = e^{2x}$	I. $2$
B. $y = \sin 2x$	II. $4y$
C. $y = x^2$	III. $-\frac{1}{x^2}$
D. $y = \log x$	IV. $-4y$

A-IV, B-II, C-I, D-IIICorrect answerYour answerA-II, B-IV, C-III, D-ICorrect answerYour answerA-IV, B-II, C-III, D-ICorrect answerYour answerA-II, B-IV, C-I, D-IIICorrect answerYour answer

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CorrectNot quiteAnswer D

Correct answer: D

$e^{2x}$ gives $4e^{2x} = 4y$ , and $\sin 2x$ gives $-4\sin 2x = -4y$ .
$x^2$ gives 2, and $\log x$ gives $\frac{1}{x}$ , then $-\frac{1}{x^2}$ .

Concept: Second derivatives of standard functions
Typical timeTypical: 120 s
Your timeYours: —

The rule this testsEquations with second 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.

Question 88

Explanation