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}
Answer and Explanation: 1
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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 }\,...
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Chapter 8 / Lesson 13The 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.