Question Detail

MTH 102 Differentiation Objective Question
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Question

Derivative of \( y = x^6 \cos x \) is?
Options
A \( 6x^5 \cos x - x^6 \sin x \)
Correct Answer
B \( 6x^5 \sin x \)
C \( -6x^5 \sin x \)
D \( 6x^5 - \sin x \)
Correct Answer

Option A is the correct answer.

Detailed Explanation

Product rule: ( 6x^5 \cos x + x^6(-\sin x) ).

Hint

Use the product rule formula: \( uv' + vu' \).

Question Info

Course: MTH 102
Topic: Differentiation
Type: Objective
Difficulty: Not specified
Question 170 of 930
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