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Popular >

derivative of 1/(7x+1)

Solution

\frac{d}{d x} (\frac{1}{7 x + 1})

Solution

- \frac{7}{( 7 x + 1 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{1}{7 x + 1})

Apply exponent rule:

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

= \frac{d}{d x} ((7 x + 1)^{- 1})

Apply the chain rule:

- \frac{1}{( 7 x + 1 ) ^{2}} \frac{d}{d x} (7 x + 1)

= - \frac{1}{( 7 x + 1 ) ^{2}} \frac{d}{d x} (7 x + 1)

\frac{d}{d x} (7 x + 1) = 7

= - \frac{1}{( 7 x + 1 ) ^{2}} \cdot 7

Simplify

- \frac{1}{( 7 x + 1 ) ^{2}} \cdot 7 : - \frac{7}{( 7 x + 1 ) ^{2}}

= - \frac{7}{( 7 x + 1 ) ^{2}}

Graph

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limit as x approaches 0+of x/(sqrt(x)-1)

x \to 0 + lim (\frac{x}{x - 1})

derivative of f(x)=(x-7)(5x+1)derivative of

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integral of x/(sqrt(x+6))

\int \frac{x}{x + 6} d x

Frequently Asked Questions (FAQ)

What is the derivative of 1/(7x+1) ?
The derivative of 1/(7x+1) is -7/((7x+1)^2)
What is the first derivative of 1/(7x+1) ?
The first derivative of 1/(7x+1) is -7/((7x+1)^2)