Question Detail

MTH 102 Practice Questions MTH 102 Objective Question
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Question

Evaluate the second derivative of y = tan(3x) with respect to x
Options
A 18sec²3x·tan3x
Correct Answer
B 18sec3x·tan3x
C 3sec²3x
D 3sec²3x·tan3x
Correct Answer

Option A is the correct answer.

Detailed Explanation

y'=3sec²3x. Differentiating again: y''=3·2sec3x·(3sec3x tan3x)=18sec²3x·tan3x.

Hint

Differentiate tan(3x) once, then differentiate the resulting sec² term using the chain rule again.

Question Info

Course: MTH 102
Topic: Practice Questions MTH 102
Type: Objective
Difficulty: Not specified
Question 832 of 930
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