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

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

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

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

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derivative of

f (x) = \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}}

x \to 0 lim ((3 x - 2)^{4})

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

\frac{\partial}{\partial x} (cos (x) + cos (y) - y)

\frac{d}{d x} (tan (x) + sec (x))

x \to 6 - lim (x + 6)

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