# How do you find the derivative of # f(x) = -2x^2.5 + 8x^5#?

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To find the derivative of ( f(x) = -2x^{2.5} + 8x^5 ), you can use the power rule for differentiation, which states that the derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ). Applying this rule to each term:

( f'(x) = -2 \times 2.5x^{2.5-1} + 8 \times 5x^{5-1} )

( f'(x) = -5x^{1.5} + 40x^4 )

So, the derivative of ( f(x) ) is ( f'(x) = -5x^{1.5} + 40x^4 ).

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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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