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LIMITS AND DERIVATIVES — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSLIMITS AND DERIVATIVES1 Mark
Question
Find the derivative of the function 5sec x + 4cos x
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Answer

Let f(x) = 5 sec x + 4 cos x
Therefore, we have
$f^{\prime}(x)=\frac{d}{d x}(5 \sec x+4 \cos x)$
$=5 \frac{d}{d x}(\sec x)+4 \frac{d}{d x}(\cos x)$
= 5 sec x tan x + 4 $\times$ (-sin x)
$\therefore$ f’(x) = 5 sec x tan x – 4 sin x

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