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

Answer 1

Isabella Ackerman

Use the derivative of #ln# and the chain rule.

#d/dx(lnu) = 1/u d/dx(u)#

So #d/dx(ln(cosx)) = 1/cosx d/dx(cosx)#.

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Answer 2

Isabella Ackerman

To find the derivative of ln(cosx), you can use the chain rule, which states that the derivative of ln(u) is (1/u) * u', where u' is the derivative of u with respect to x. Applying this rule, the derivative of ln(cosx) is -tan(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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