# What is the antiderivative of #f''(x)=4-6x-40x^3#?

See the explanation section, below.

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The antiderivative of ( f''(x) = 4 - 6x - 40x^3 ) with respect to ( x ) is ( f'(x) = 4x - 3x^2 - 10x^4 + 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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