Question on: JAMB Mathematics - 2008
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
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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