What is the derivative of (24/((1-x)^5)) ?

The derivative of (24/((1-x)^5)) is (120)/((1-x)^6)

What is the first derivative of (24/((1-x)^5)) ?

The first derivative of (24/((1-x)^5)) is (120)/((1-x)^6)

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\frac{d}{d x} (\frac{24}{( 1 - x ) ^{5}})

\frac{120}{( 1 - x ) ^{6}}

Solution steps

\frac{d}{d x} (\frac{24}{( 1 - x ) ^{5}})

Take the constant out:

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

= 24 \frac{d}{d x} (\frac{1}{( 1 - x ) ^{5}})

Apply exponent rule:

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

= 24 \frac{d}{d x} ((1 - x)^{- 5})

Apply the chain rule:

- \frac{5}{( 1 - x ) ^{6}} \frac{d}{d x} (1 - x)

= - \frac{5}{( 1 - x ) ^{6}} \frac{d}{d x} (1 - x)

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

= 24 (- \frac{5}{( 1 - x ) ^{6}} (- 1))

Simplify

24 (- \frac{5}{( 1 - x ) ^{6}} (- 1)) : \frac{120}{( 1 - x ) ^{6}}

= \frac{120}{( 1 - x ) ^{6}}

(ln ∣ x + 2 ∣)^{7}

x^{^{''}} = cos (t)

\int \frac{8 x ^{3} - 4 x ^{2} - 3 x}{6 x} d x

\frac{5 x ^{2} + 4 x ^{5}}{2 x}

\frac{d}{d x} (\frac{x cos ( π x ) - 2}{x - 2})

What is the derivative of (24/((1-x)^5)) ?
The derivative of (24/((1-x)^5)) is (120)/((1-x)^6)
What is the first derivative of (24/((1-x)^5)) ?
The first derivative of (24/((1-x)^5)) is (120)/((1-x)^6)