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:

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

Become a Study.com member to unlock this answer!

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...