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

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

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

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

derivative of

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

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

Solution steps

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

Apply exponent rule:

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

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

Apply the chain rule:

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

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

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

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

Simplify

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

y = cos (x)

\frac{d}{d x} y = sinh (cosh (x))

f = \frac{( f ( x + h ) - f )}{h}

\frac{d}{d x} (sec (2 x))

\frac{d}{d x} y = x e^{x}

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