Question Detail

MTH 102 MTH 102 Past Questions Objective Question
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Question

Find the derivative of y = sec ax.
Options
A cos x
B tan x
C a sec ax tan ax
Correct Answer
D sin x
Correct Answer

Option C is the correct answer.

Detailed Explanation

To find the derivative of y = sec(ax), we use the chain rule.The derivative of sec(u) is sec(u)tan(u) * du/dx.Here, u = ax.So, du/dx = a.Therefore, dy/dx = sec(ax)tan(ax) * a = a sec(ax) tan(ax).

Hint

Recall the derivative of sec(u) and apply the chain rule.

Question Info

Course: MTH 102
Topic: MTH 102 Past Questions
Type: Objective
Difficulty: Not specified
Question 296 of 930
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