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


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


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}

Answer and Explanation: 1

Become a member to unlock this answer!

View this answer

{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 }\,...

See full answer below.

Learn more about this topic:

Applying the Rules of Differentiation to Calculate Derivatives


Chapter 8 / Lesson 13

The rules of differentiation are useful to find solutions to standard differential equations. Identify the application of product rule, quotient rule, and chain rule to solving these equations through examples.

Related to this Question

Explore our homework questions and answers library