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


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


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.

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