Question Detail

MTH 102 Differentiation Objective Question
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Question

If \( y = x^5 \sin 3x \tan 5x \), find \( dy/dx \).
Options
A Use the product rule for three terms
Correct Answer
B \( 5x^4 \cos 3x \sec^2 5x \)
C \( 15x^4 \sin 3x \tan 5x \)
D 0
Correct Answer

Option A is the correct answer.

Detailed Explanation

This requires the product rule extended to three functions: ( (uvw)' = u'vw + uv'w + uvw' ).

Hint

Differentiate one function at a time while holding others constant.

Question Info

Course: MTH 102
Topic: Differentiation
Type: Objective
Difficulty: Not specified
Question 200 of 930
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