# If f(x) = 5 sec x - 7x, find f'(x).

## Question:

If f(x) = 5 sec x - 7x, find f'(x).

## Differentiation:

The given function is a composite function. There is one polynomial term and another trigonometric term. We will apply the following formula of differentiation to find the derivative of the function.

{eq}\begin{align} \frac{d}{dx}\sec(x)& = \sec(x)\tan(x)\\ \displaystyle \frac{d}{dx}x^n &=nx^{n-1}\\ \end{align} {/eq}

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{eq}\begin{align} f(x) = 5 \sec x - 7x\\ f'(x)&= \frac{d}{dx} \left[ 5 \sec x - 7x \right]& \left[\text{ Differentiate with respect to }\,...