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

The derivative of 1/(5x-2) is -5/((5x-2)^2)

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

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

Popular >

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

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

Solution steps

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

Apply exponent rule:

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

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

k = 1 \sum \infty cos (\frac{1}{k}) - cos (\frac{1}{k + 1})

n = 0 \sum \infty \frac{( 3 ^{n} )}{2}

\int \frac{9}{x ^{2} ( x ^{2} + 25 )} d x

\frac{1}{x}

\frac{d x}{d t} = 6 - \frac{3 x}{500}

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