JAMB Mathematics 2021 Objective — Question 32

Question 32 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2021 Objective paper, with the correct answer and a full explanation.

32. If y = x sinx, find dy/dx (a) sinx + cosx (b) sinx - cosx (c) sinx + xcosx (d) sinx - xcosx

A. sinx + cosx
B. sinx - cosx
C. sinx + xcosxCorrect
D. sinx - xcosx

Explanation

Using the product rule: y' = (x)'sinx + x(sinx)' = 1×sinx + x×cosx = sinx + xcosx.

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