What is the derivative of 3/((1-x^4)) ?

The derivative of 3/((1-x^4)) is (12)/((1-x)^5)

What is the first derivative of 3/((1-x^4)) ?

The first derivative of 3/((1-x^4)) is (12)/((1-x)^5)

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

\frac{12}{( 1 - x ) ^{5}}

Solution steps

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

Take the constant out:

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

= 3 \frac{d}{d x} (\frac{1}{( 1 - x ) ^{4}})

Apply exponent rule:

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

= 3 \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

= 3 (- \frac{4}{( 1 - x ) ^{5}} (- 1))

Simplify

3 (- \frac{4}{( 1 - x ) ^{5}} (- 1)) : \frac{12}{( 1 - x ) ^{5}}

= \frac{12}{( 1 - x ) ^{5}}

\int \frac{x}{x + 7} d x

\frac{\partial}{\partial y} ((x + y)^{8})

\frac{\partial}{\partial y} (x^{2} y + y^{3})

x \to 2 lim (x^{2} + x - 2)

\int_{0}^{1} r^{3} d r

What is the derivative of 3/((1-x^4)) ?
The derivative of 3/((1-x^4)) is (12)/((1-x)^5)
What is the first derivative of 3/((1-x^4)) ?
The first derivative of 3/((1-x^4)) is (12)/((1-x)^5)