# What is the antiderivative of #f'(x)=2x-3/x^4#?

Rewrite with negative exponents to make things easier to visualize.

So,

Simplify.

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The antiderivative of ( f'(x) = 2x - \frac{3}{x^4} ) is ( f(x) = x^2 + \frac{3}{3x^3} + C ), where ( C ) is the constant of integration.

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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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