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How do you find the derivative of #ln x^4#?

Answer 1

Isaiah Allen

If #y = lnx^4 = 4lnx# then

#(dy)/(dx) = 4*1/x = 4/x#

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Answer 2

Emily Ammerman

To find the derivative of ln(x^4), use the chain rule, which states that the derivative of ln(u) is (1/u) times the derivative of u. Therefore, the derivative of ln(x^4) is (1/(x^4)) times the derivative of x^4, which is 4x^3. Thus, the derivative of ln(x^4) is (1/(x^4)) * 4x^3, simplified to (4/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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