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Popular >

derivative of 1/(1-5x)

Solution

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

Popular Examples

integral of 5/(sqrt(x))+5sqrt(x)

\int \frac{5}{x} + 5 x d x

(dy)/(dx)=4(x^2+1)

\frac{d y}{d x} = 4 (x^{2} + 1)

(\partial)/(\partial x)(5x+6y)

\frac{\partial}{\partial x} (5 x + 6 y)

limit as x approaches+3 of (x^2-2)/(3-x)

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

integral of sin(x+1)

\int sin (x + 1) d x

Frequently Asked Questions (FAQ)

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