Differentiate sin x - x cos x - JAMB Mathematics 2008 Question
Differentiate sin x - x cos x
A
x cos x
B
x sin x
C
-x cos x
D
-x sin x
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Correct Option: B
y = sin x - x cos x
let; U = -x
(\frac{dy}{dx}) = -1
V = cos x
(\frac{dx}{dx}) = -5x
-x (-sin x) + cos x (-1)
x sin x - cos x
(\frac{dy}{dx}) = x sin x + cos x - cos x
(\frac{dy}{dx}) = x sin x
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