Get the answer to "Find the derivative of the following functions y=ln|x2−1|"

Daniaal Sanchez

Answered question

2021-10-14

Find the derivative of the following functions

y = \ln | x^{2} - 1 |

sweererlirumeX

Skilled2021-10-15Added 91 answers

Step 1
The given function is

y = \ln | x^{2} - 1 |

To find the derivative for given function , differentiate the function with respect to x,
we get,

\frac{d y}{d x} = \frac{d}{d x} [\ln | x^{2} - 1 |]

= \frac{1}{(x^{2} - 1)} \times (2 x)

= \frac{2 x}{x^{2} - 1}

Step 2
Hence, the derivative for the given function is

\frac{2 x}{x^{2} - 1}

Jeffrey Jordon

Expert2022-03-23Added 2605 answers

Answer is given below (on video)

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