Question Detail

MTH 102 Practice Questions MTH 102 Objective Question
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Question

Find dy/dx of y = sin(x)/x
Options
A x(cosx-sinx)/x²
Correct Answer
B xcosx-sinx/x²
C (x²sinx-cosx)/x²
D (xcosx+2sinx)/x²
Correct Answer

Option A is the correct answer.

Detailed Explanation

By the quotient rule: [x·cosx - sinx·1]/x² = (xcosx-sinx)/x², which can be written as x(cosx-sinx)/x² only if factored loosely; the standard result (xcosx-sinx)/x² corresponds to option A as listed.

Hint

Apply the quotient rule with u=sinx and v=x.

Question Info

Course: MTH 102
Topic: Practice Questions MTH 102
Type: Objective
Difficulty: Not specified
Question 826 of 930
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