Derivatives involving ln x Find the following derivatives. ddx(ln|x2−1|)

jubateee

jubateee

Answered

2022-01-15

Derivatives involving ln x Find the following derivatives.
ddx(ln|x21|)

Answer & Explanation

Virginia Palmer

Virginia Palmer

Expert

2022-01-16Added 27 answers

Step 1
Given:
ddx(ln|x21|)
Step 2
ddx(ln|x21|)
Apply chain rule:
ddx(ln|x21|)=1|x21|ddx(|x21|)
ddx(|x21|)=2x(x21)|x21|
ddx(ln|x21|)=1|x21|2x(x21)|x21|
=2xx21

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