What is the derivative of f(x)= 2/((1-x)^2) ?

The derivative of f(x)= 2/((1-x)^2) is 4/((1-x)^3)

What is the first derivative of f(x)= 2/((1-x)^2) ?

The first derivative of f(x)= 2/((1-x)^2) is 4/((1-x)^3)

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derivative of

f (x) = \frac{2}{( 1 - x ) ^{2}}

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

Solution steps

\frac{d}{d x} (\frac{2}{( 1 - x ) ^{2}})

Take the constant out:

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

= 2 \frac{d}{d x} (\frac{1}{( 1 - x ) ^{2}})

Apply exponent rule:

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

= 2 \frac{d}{d x} ((1 - x)^{- 2})

Apply the chain rule:

- \frac{2}{( 1 - x ) ^{3}} \frac{d}{d x} (1 - x)

= - \frac{2}{( 1 - x ) ^{3}} \frac{d}{d x} (1 - x)

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

= 2 (- \frac{2}{( 1 - x ) ^{3}} (- 1))

Simplify

2 (- \frac{2}{( 1 - x ) ^{3}} (- 1)) : \frac{4}{( 1 - x ) ^{3}}

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

x \to 1 + lim (\frac{∣ 1 - x ∣}{1 - x})

\frac{d}{d x} ((\frac{x + 1}{x - 3})^{2})

3 x^{2} - 16 x - 12

\frac{\partial}{\partial x} (5^{x})

7 u + 10 u

What is the derivative of f(x)= 2/((1-x)^2) ?
The derivative of f(x)= 2/((1-x)^2) is 4/((1-x)^3)
What is the first derivative of f(x)= 2/((1-x)^2) ?
The first derivative of f(x)= 2/((1-x)^2) is 4/((1-x)^3)