What is the derivative of 6/((1-x)^3) ?

The derivative of 6/((1-x)^3) is (18)/((1-x)^4)

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

The first derivative of 6/((1-x)^3) is (18)/((1-x)^4)

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derivative of

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

\frac{18}{( 1 - x ) ^{4}}

Solution steps

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

Take the constant out:

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

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

Apply exponent rule:

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

= 6 \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

= 6 (- \frac{3}{( 1 - x ) ^{4}} (- 1))

Simplify

6 (- \frac{3}{( 1 - x ) ^{4}} (- 1)) : \frac{18}{( 1 - x ) ^{4}}

= \frac{18}{( 1 - x ) ^{4}}

k \to \infty lim ((- 1)^{k})

x \to \infty lim (7 x^{2})

f^{^{'}} (x) = (3 x^{6} + 4 x^{3})^{4}

x^{3} + 8, at x = - 2

\int \frac{3 x ^{3} - 5 x ^{2} + 10 x - 3}{3 x + 1} d x

What is the derivative of 6/((1-x)^3) ?
The derivative of 6/((1-x)^3) is (18)/((1-x)^4)
What is the first derivative of 6/((1-x)^3) ?
The first derivative of 6/((1-x)^3) is (18)/((1-x)^4)