What is the derivative of (10)/((1-x)^3) ?

The derivative of (10)/((1-x)^3) is (30)/((1-x)^4)

What is the first derivative of (10)/((1-x)^3) ?

The first derivative of (10)/((1-x)^3) is (30)/((1-x)^4)

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derivative of

\frac{10}{( 1 - x ) ^{3}}

\frac{30}{( 1 - x ) ^{4}}

Solution steps

\frac{d}{d x} (\frac{10}{( 1 - x ) ^{3}})

Take the constant out:

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

= 10 \frac{d}{d x} (\frac{1}{( 1 - x ) ^{3}})

Apply exponent rule:

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

= 10 \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

= 10 (- \frac{3}{( 1 - x ) ^{4}} (- 1))

Simplify

10 (- \frac{3}{( 1 - x ) ^{4}} (- 1)) : \frac{30}{( 1 - x ) ^{4}}

= \frac{30}{( 1 - x ) ^{4}}

y^{^{'}} = y - x^{2}

(x e^{4 x})^{^{'}}

arcsin (x^{3})

f (x) = 7 - x^{3}

\frac{d}{d x} (\frac{5 x}{x ^{2} + 4})

What is the derivative of (10)/((1-x)^3) ?
The derivative of (10)/((1-x)^3) is (30)/((1-x)^4)
What is the first derivative of (10)/((1-x)^3) ?
The first derivative of (10)/((1-x)^3) is (30)/((1-x)^4)