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Popular >

derivative of 1/((3x+7))

Solution

derivative of

\frac{1}{( 3 x + 7 )}

Solution

- \frac{3}{( 3 x + 7 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{1}{3 x + 7})

Apply exponent rule:

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

= \frac{d}{d x} ((3 x + 7)^{- 1})

Apply the chain rule:

- \frac{1}{( 3 x + 7 ) ^{2}} \frac{d}{d x} (3 x + 7)

= - \frac{1}{( 3 x + 7 ) ^{2}} \frac{d}{d x} (3 x + 7)

\frac{d}{d x} (3 x + 7) = 3

= - \frac{1}{( 3 x + 7 ) ^{2}} \cdot 3

Simplify

- \frac{1}{( 3 x + 7 ) ^{2}} \cdot 3 : - \frac{3}{( 3 x + 7 ) ^{2}}

= - \frac{3}{( 3 x + 7 ) ^{2}}

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\frac{d}{d x} (ln (x + a))

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\frac{d}{d x} (e^{x^{3}})

integral from-infinity to 0 of e^{7x}

\int_{- \infty}^{0} e^{7 x} d x

Frequently Asked Questions (FAQ)

What is the derivative of 1/((3x+7)) ?
The derivative of 1/((3x+7)) is -3/((3x+7)^2)
What is the first derivative of 1/((3x+7)) ?
The first derivative of 1/((3x+7)) is -3/((3x+7)^2)