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

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

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

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

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

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

Solution steps

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

Take the constant out:

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

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

Apply exponent rule:

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

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

Apply the chain rule:

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

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

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

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

Simplify

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

= \frac{12}{( 1 - x ) ^{4}}

\int (e^{x})^{3} d x

x \to π lim (cos (x - π))

f (x) = \frac{3 x}{1 + x ^{2}}, at x = 4

\int 0.2 + 25 x - 200 x^{2} + 675 x^{3} - 900 x^{4} + 400 x^{5} d x

\int \frac{1}{x ( 2 x + 5 ) ^{2}} d x

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