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Popular >

derivative of 1/(5-2x)

Solution

\frac{d}{d x} (\frac{1}{5 - 2 x})

Solution

\frac{2}{( 5 - 2 x ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{1}{5 - 2 x})

Apply exponent rule:

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

= \frac{d}{d x} ((5 - 2 x)^{- 1})

Apply the chain rule:

- \frac{1}{( 5 - 2 x ) ^{2}} \frac{d}{d x} (5 - 2 x)

= - \frac{1}{( 5 - 2 x ) ^{2}} \frac{d}{d x} (5 - 2 x)

\frac{d}{d x} (5 - 2 x) = - 2

= - \frac{1}{( 5 - 2 x ) ^{2}} (- 2)

Simplify

- \frac{1}{( 5 - 2 x ) ^{2}} (- 2) : \frac{2}{( 5 - 2 x ) ^{2}}

= \frac{2}{( 5 - 2 x ) ^{2}}

Popular Examples

integral of (9-162x)/(sqrt(64-81x^2))

\int \frac{9 - 162 x}{64 - 81 x ^{2}} d x

integral of-2x*ln(x)

\int - 2 x \cdot ln (x) d x

tangent of x^2-1/x tangent of

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

integral of ((ln(x))^7)/x

\int \frac{( ln ( x ) ) ^{7}}{x} d x

integral from 3 to 6 of (2x-3)/6

\int_{3}^{6} \frac{2 x - 3}{6} d x

Frequently Asked Questions (FAQ)

What is the derivative of 1/(5-2x) ?
The derivative of 1/(5-2x) is 2/((5-2x)^2)
What is the first derivative of 1/(5-2x) ?
The first derivative of 1/(5-2x) is 2/((5-2x)^2)