Find the derivative of the function 5 x-6 x+7 - Vidyadip

Question

Find the derivative of the function $5 \sin x-6 \cos x+7$

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Answer

Let f(x) = 5 sin x – 6 cos x + 7
Therefore, we have,
$\mathrm{f}^{\prime}(\mathrm{x})=\frac{\mathrm{d}}{\mathrm{dx}}(5 \sin \mathrm{x}-6 \cos \mathrm{x}+7)$
$=5 \frac{d}{d x}(\sin x)-6 \frac{d}{d x}(\cos x)+\frac{d}{d x}(7)$
= 5 $\times$ cos x – 6 $\times$ (- sin x) + 0
$\therefore$ f’(x) = 5 cos x + 6 sin x

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