Find the derivative of y=sin2(5x) with respect...
Find the derivative of y=sin2(5x) with respect to x.
10 sin 5x cos 5x
5 sin5x cos 5x
2 sin 5x cos 5x
15 sin 5x cos 5x
Correct answer is A
y=sin2(5x)
Let u = sin 5x
dudx=5cos5x
∴
\frac{\mathrm d y}{\mathrm d u} = 2u
\frac{\mathrm d y}{\mathrm d x} = 2u . 5 \cos 5x
= 10u \cos 5x
= 10 \sin 5x \cos 5x
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