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How do you find the derivative of #ln(5x)#?

Answer 1

Christopher Allers

#1/x#

By the chain rule we get

#(ln(5x))'=1/(5x)*5=1/x#

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Answer 2

Cameron Alexander

To find the derivative of ln(5x), you apply the chain rule of differentiation. The derivative of ln(u) with respect to x is (1/u) * du/dx. In this case, u = 5x. So, du/dx = 5. Therefore, the derivative of ln(5x) is (1/(5x)) * 5, which simplifies to 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.

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