What is the derivative of (16)/((1-x)^3) ?

The derivative of (16)/((1-x)^3) is (48)/((1-x)^4)

What is the first derivative of (16)/((1-x)^3) ?

The first derivative of (16)/((1-x)^3) is (48)/((1-x)^4)

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derivative of

\frac{16}{( 1 - x ) ^{3}}

\frac{48}{( 1 - x ) ^{4}}

Solution steps

\frac{d}{d x} (\frac{16}{( 1 - x ) ^{3}})

Take the constant out:

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

= 16 \frac{d}{d x} (\frac{1}{( 1 - x ) ^{3}})

Apply exponent rule:

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

= 16 \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

= 16 (- \frac{3}{( 1 - x ) ^{4}} (- 1))

Simplify

16 (- \frac{3}{( 1 - x ) ^{4}} (- 1)) : \frac{48}{( 1 - x ) ^{4}}

= \frac{48}{( 1 - x ) ^{4}}

\int \frac{( 9 - x ^{2} )}{x ^{2}} d x

\int \frac{x}{( x ^{2} + 8 ) ^{2}} d x

f (x) = x^{- 12}

\frac{d}{d x} (4 x^{3} + 4 x^{2} - 8 x)

\frac{d}{d x} (ln (x + x^{2} - 11))

What is the derivative of (16)/((1-x)^3) ?
The derivative of (16)/((1-x)^3) is (48)/((1-x)^4)
What is the first derivative of (16)/((1-x)^3) ?
The first derivative of (16)/((1-x)^3) is (48)/((1-x)^4)