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Find {eq}\displaystyle f'(x) {/eq} for {eq}\displaystyle f(x) = \frac{x^2-9x}{x} {/eq}.

Question:

Find {eq}\displaystyle f'(x) {/eq} for {eq}\displaystyle f(x) = \frac{x^2-9x}{x} {/eq}.

Sum/Difference Rule:

The sum/ difference rule of differentiation is applied when we have to compute the derivative of the function having two or more terms in addition or subtraction form. The sum/ difference rule of differentiation is expressed below:

$$\dfrac{\mathrm{d} }{\mathrm{d} x}(f(x)\pm g(x))=f'(x)\pm g'(x) $$

Answer and Explanation: 1

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We have to Find {eq}\displaystyle f'(x) {/eq} for {eq}\displaystyle f(x) = \dfrac{x^2-9x}{x} {/eq}.


Differentiate the given function with respect...

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How to Compute Derivatives

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Chapter 20 / Lesson 1
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Understand what derivative calculus is and how to find the derivative of a function. Learn the derivative rules, and practice taking derivatives by following examples.


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