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How do you find the derivative of # ln -x#?

Answer 1

Luke Alvarez

#d/dx ln (-x) = 1/x#

as a rule #d/dx ln (f(x)) = 1/f(x) f'(x)#

here #f(x) = - x # and #f'(x) = -1# so we have

#d/dx ln (-x) = 1/(-x)*-1 = 1/x#

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Answer 2

Emma Aldridge

To find the derivative of ln(-x), you can use the chain rule. The derivative of ln(u) with respect to x is (1/u) * du/dx. In this case, u = -x. The derivative of -x with respect to x is -1. Therefore, the derivative of ln(-x) is (-1/(-x)) * (-1) = 1/x.

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Answer 3

Isabella Ackerman

The derivative of ln(-x) with respect to x is -1/x.

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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.