What is the derivative of-6/((1-x^2)) ?

The derivative of-6/((1-x^2)) is -(12)/((1-x)^3)

What is the first derivative of-6/((1-x^2)) ?

The first derivative of-6/((1-x^2)) is -(12)/((1-x)^3)

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\frac{d}{d x} (- \frac{6}{( 1 - x ) ^{2}})

- \frac{12}{( 1 - x ) ^{3}}

Solution steps

\frac{d}{d x} (- \frac{6}{( 1 - x ) ^{2}})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= - 6 \frac{d}{d x} (\frac{1}{( 1 - x ) ^{2}})

Apply exponent rule:

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

= - 6 \frac{d}{d x} ((1 - x)^{- 2})

Apply the chain rule:

- \frac{2}{( 1 - x ) ^{3}} \frac{d}{d x} (1 - x)

= - \frac{2}{( 1 - x ) ^{3}} \frac{d}{d x} (1 - x)

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

= - 6 (- \frac{2}{( 1 - x ) ^{3}} (- 1))

Simplify

- 6 (- \frac{2}{( 1 - x ) ^{3}} (- 1)) : - \frac{12}{( 1 - x ) ^{3}}

= - \frac{12}{( 1 - x ) ^{3}}

- (\frac{64}{( 1 + 4 x ) ^{3}})

\int u^{2} + 1 d u

y^{^{'}} + y - 2 sin (x) = 0

\int_{- \infty}^{0} \frac{1}{7 - 2 x} d x

13 x^{3} (x^{2} - 5)

What is the derivative of-6/((1-x^2)) ?
The derivative of-6/((1-x^2)) is -(12)/((1-x)^3)
What is the first derivative of-6/((1-x^2)) ?
The first derivative of-6/((1-x^2)) is -(12)/((1-x)^3)