# What is the derivative of #f(x) = (3x+4)/( x^2)#?

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The derivative of ( f(x) = \frac{3x+4}{x^2} ) is ( f'(x) = \frac{d}{dx} \left( \frac{3x+4}{x^2} \right) = \frac{(3x^2 - (3x+4) \cdot 2x)}{x^4} = \frac{-2x^2 - 12x}{x^4} = \frac{-2x - 12}{x^3} ).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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