What is the derivative of 1/(5-7x) ?

The derivative of 1/(5-7x) is 7/((5-7x)^2)

What is the first derivative of 1/(5-7x) ?

The first derivative of 1/(5-7x) is 7/((5-7x)^2)

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derivative of

\frac{1}{5 - 7 x}

\frac{7}{( 5 - 7 x ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{1}{5 - 7 x})

Apply exponent rule:

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

= \frac{d}{d x} ((5 - 7 x)^{- 1})

Apply the chain rule:

- \frac{1}{( 5 - 7 x ) ^{2}} \frac{d}{d x} (5 - 7 x)

= - \frac{1}{( 5 - 7 x ) ^{2}} \frac{d}{d x} (5 - 7 x)

\frac{d}{d x} (5 - 7 x) = - 7

= - \frac{1}{( 5 - 7 x ) ^{2}} (- 7)

Simplify

- \frac{1}{( 5 - 7 x ) ^{2}} (- 7) : \frac{7}{( 5 - 7 x ) ^{2}}

= \frac{7}{( 5 - 7 x ) ^{2}}

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\frac{\partial}{\partial x} ((x^{2} + 3 y^{3}) e^{4 x \cdot y^{2}})

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What is the derivative of 1/(5-7x) ?
The derivative of 1/(5-7x) is 7/((5-7x)^2)
What is the first derivative of 1/(5-7x) ?
The first derivative of 1/(5-7x) is 7/((5-7x)^2)