Limits and Derivatives — Maths STD 11 Science — Question
CBSE BoardEnglish MediumSTD 11 ScienceMathsLimits and Derivatives1 Mark
Question
Compute the derivative of $f(x) = \sin^2 x.$
✓
Answer
We have,
$f(x) = \sin^2x$
$\therefore \quad \frac { d f ( x ) } { d x } = \frac { d } { d x } ( \sin x \sin x )$
$= (\sin x) \frac { d } { d x } \sin x + \sin x \frac { d } { d x } (\sin x) [$using Leibnitz rule$]$
$= (\cos x) \sin x + \sin x(\cos x)$
$= 2 \sin x \cos x = \sin 2x$
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