Question Detail

MTH 102 MTH 102 Past Questions Objective Question
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Question

Find dy/dx if y = loge(cosx).
Options
A cotx
B -cotx
C -tanx
Correct Answer
D tanx
Correct Answer

Option C is the correct answer.

Detailed Explanation

The derivative of y = loge(cosx) (which is ln(cosx)) is found using the chain rule.If y = ln(u), then dy/dx = (1/u) * du/dx.Here, u = cosx.The derivative of u with respect to x is du/dx = -sinx.So, dy/dx = (1/cosx) * (-sinx) = -sinx/cosx = -tanx.This matches option C.

Hint

Recall the derivative of ln(u) and the chain rule for trigonometric functions.

Question Info

Course: MTH 102
Topic: MTH 102 Past Questions
Type: Objective
Difficulty: Not specified
Question 800 of 930
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