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What is #f'(x)# if #f(x) = - 4ln(x) + 4/x#?

Answer 1

Isaiah Allen

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Answer 2

Axel Alvarez

To find f'(x) for the function f(x) = -4ln(x) + 4/x, you need to apply the rules of differentiation. The derivative of -4ln(x) is -4/x, and the derivative of 4/x is -4/x^2. Therefore, the derivative of the function f(x) is:

f'(x) = -4/x - 4/x^2.

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Answer from HIX Tutor

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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