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(A) Let $f(x) = 5 \sec x + 4 \cos x$.Using the derivative rules for trigonometric functions:$\frac{d}{dx} (\sec x) = \sec x 	an x$$\frac{d}{dx} (\cos

Vedclass · Accepted Answer

$5 \sec x 	an x - 4 \sin x$

Vedclass · Answer

(A) Let $f(x) = 5 \sec x + 4 \cos x$.Using the derivative rules for trigonometric functions:$\frac{d}{dx} (\sec x) = \sec x 	an x$$\frac{d}{dx} (\cos x) = -\sin x$Applying the linearity property of derivatives:$f'(x) = \frac{d}{dx} (5 \sec x + 4 \cos x)$$f'(x) = 5 \frac{d}{dx} (\sec x) + 4 \frac{d}{dx} (\cos x)$$f'(x) = 5 (\sec x 	an x) + 4 (-\sin x)$$f'(x) = 5 \sec x 	an x - 4 \sin x$

Find the derivative of the following function: $5 \sec x + 4 \cos x$.

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