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

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

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

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

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

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

Solution steps

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

Take the constant out:

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

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

Apply exponent rule:

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

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

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

\frac{d y}{d x} = e^{4 x + 3 y}

y = 30 e^{- 0.0000323 h}

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

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