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Popular >

derivative of 1/((1-2x))

Solution

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

Solution

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

Solution steps

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

Apply exponent rule:

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

= \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

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

Simplify

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

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

Popular Examples

derivative of e^{4t}derivative of

e^{4 t}

derivative of 2x^4+x^3+5x^2-3x+8

\frac{d}{d x} (2 x^{4} + x^{3} + 5 x^{2} - 3 x + 8)

derivative of x^2*e^{-3x}

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

(e^tx+1)dt+(e^t-1)dx=0,x(1)=1

(e^{t} x + 1) d t + (e^{t} - 1) d x = 0, x (1) = 1

limit as x approaches 1 of log_{1/e}(x)

x \to 1 lim (lo g_{\frac{1}{e}} (x))

Frequently Asked Questions (FAQ)

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