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# Differentiate the function.$P(v) = \frac {\ln v}{l - v}$

## $P^{\prime}(v)=\frac{1-v+v \ln v}{v(1-v)^{2}}$

Derivatives

Differentiation

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##### Catherine R.

Missouri State University

##### Heather Z.

Oregon State University

##### Samuel H.

University of Nottingham

Lectures

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### Video Transcript

in this problem were asked to find Garrett off Natural of Edo. I want a suite so we can use portion rules. So P probably Well, then meet every toe Opie function in numerator, which is a little B, but piper function and be nominated minus function and in your area, multiplied by damage or denominated, which is on he invited by a function in the denominators. For we have one minus being You mind if I be plus natural lava? We divided by one months. We squared weekend month Why, um this term and divided by key and right he there with s one minus weed. Plus we times next love me now do I did. Division by B is a common term so we can wrap this one has to be times one minus b squared. Oh,

#### Topics

Derivatives

Differentiation

##### Catherine R.

Missouri State University

##### Heather Z.

Oregon State University

##### Samuel H.

University of Nottingham

Lectures

Join Bootcamp