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Find {eq}f'(x) {/eq} given that {eq}f(x) = \frac{x^2-3x}{x^2} {/eq}

Question:

Find {eq}f'(x) {/eq} given that {eq}f(x) = \frac{x^2-3x}{x^2} {/eq}

Derivative calulation

In this exercise, we apply differentiation rules to calculate the derivative of a function

f(x) defined as the ration between two functions,

The rule is stated as

{eq}\frac{d}{dx} \frac{f}{g} = \frac{f'g-fg'}{g^2} {/eq}

where ' symbol denotes the derivative operation.

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Applying the Rules of Differentiation to Calculate Derivatives

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Chapter 8 / Lesson 13
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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.


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