What is the derivative of 1/((1-x^4)) ?

The derivative of 1/((1-x^4)) is 4/((1-x)^5)

What is the first derivative of 1/((1-x^4)) ?

The first derivative of 1/((1-x^4)) is 4/((1-x)^5)

Popular >

\frac{d}{d x} (\frac{1}{( 1 - x ) ^{4}})

\frac{4}{( 1 - x ) ^{5}}

Solution steps

\frac{d}{d x} (\frac{1}{( 1 - x ) ^{4}})

Apply exponent rule:

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

= \frac{d}{d x} ((1 - x)^{- 4})

Apply the chain rule:

- \frac{4}{( 1 - x ) ^{5}} \frac{d}{d x} (1 - x)

= - \frac{4}{( 1 - x ) ^{5}} \frac{d}{d x} (1 - x)

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

= - \frac{4}{( 1 - x ) ^{5}} (- 1)

Simplify

= \frac{4}{( 1 - x ) ^{5}}

\int \frac{cos ( x )}{( sin ( x ) ) ^{2}} d x

\frac{d}{d x} (sin^{2} (2 x^{3} + 2 x^{2}))

\frac{d}{d x} (x^{2} - 7 x + 10)

\frac{\partial}{\partial x} (ln (5 x + y^{3}))

\frac{d y}{d x} = y (1 - 0.0008 y)

What is the derivative of 1/((1-x^4)) ?
The derivative of 1/((1-x^4)) is 4/((1-x)^5)
What is the first derivative of 1/((1-x^4)) ?
The first derivative of 1/((1-x^4)) is 4/((1-x)^5)