What is the derivative of 1/(1-p) ?

The derivative of 1/(1-p) is 1/((1-p)^2)

What is the first derivative of 1/(1-p) ?

The first derivative of 1/(1-p) is 1/((1-p)^2)

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derivative of

\frac{1}{1 - p}

\frac{1}{( 1 - p ) ^{2}}

Solution steps

\frac{d}{d p} (\frac{1}{1 - p})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= \frac{d}{d p} ((1 - p)^{- 1})

Apply the chain rule:

- \frac{1}{( 1 - p ) ^{2}} \frac{d}{d p} (1 - p)

= - \frac{1}{( 1 - p ) ^{2}} \frac{d}{d p} (1 - p)

\frac{d}{d p} (1 - p) = - 1

= - \frac{1}{( 1 - p ) ^{2}} (- 1)

Simplify

= \frac{1}{( 1 - p ) ^{2}}

What is the derivative of 1/(1-p) ?
The derivative of 1/(1-p) is 1/((1-p)^2)
What is the first derivative of 1/(1-p) ?
The first derivative of 1/(1-p) is 1/((1-p)^2)