passpadi

2008

Mathematics

JAMB

Differentiate sin x - x cos x

A.

x cos x

B.

x sin x

C.

-x cos x

D.

-x sin x

Correct Answer: x sin x

Explanation

sin x - x cos x dy/dx = cos x - [1.cos x + x -sin x] = co x - [cos x - x sin x] = cos x - cos x + x sin x = x sin x

sin x - x cos x dy/dx = cos x - [1.cos x + x -sin x] = co x - [cos x - x sin x] = cos x - cos x + x sin x = x sin x
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