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LIMITS AND DERIVATIVES — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSLIMITS AND DERIVATIVES2 Marks
Question
Find the derivative of function sin x cos x.
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Answer

Here f (x) = sin x cos x
$\therefore \;f{\text{}}(x) = \frac{d}{{dx}}(\sin x\cos x)$
$= \sin x\frac{d}{{dx}}(\cos x) + \cos x\frac{d}{{dx}}(\sin x)$
$=\sin x(-\sin x)+\cos x(\cos x)=\cos ^2 x-\sin ^2 x=\cos 2 x$

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