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Popular >

derivative of 1/(2x+6)

Solution

\frac{d}{d x} (\frac{1}{2 x + 6})

Solution

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

Solution steps

\frac{d}{d x} (\frac{1}{2 x + 6})

Apply exponent rule:

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

= \frac{d}{d x} ((2 x + 6)^{- 1})

Apply the chain rule:

- \frac{1}{( 2 x + 6 ) ^{2}} \frac{d}{d x} (2 x + 6)

= - \frac{1}{( 2 x + 6 ) ^{2}} \frac{d}{d x} (2 x + 6)

\frac{d}{d x} (2 x + 6) = 2

= - \frac{1}{( 2 x + 6 ) ^{2}} \cdot 2

Simplify

- \frac{1}{( 2 x + 6 ) ^{2}} \cdot 2 : - \frac{1}{2 ( x + 3 ) ^{2}}

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

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integral of t2^{t+2}

\int t 2^{t + 2} d t

limit as n approaches infinity of (1n)/3

n \to \infty lim (\frac{1 n}{3})

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x \to 0 + lim (x - sin (x))

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x \to 0 lim (\frac{( 1 + x ) ^{8} - 1}{x})

Frequently Asked Questions (FAQ)

What is the derivative of 1/(2x+6) ?
The derivative of 1/(2x+6) is -1/(2(x+3)^2)
What is the first derivative of 1/(2x+6) ?
The first derivative of 1/(2x+6) is -1/(2(x+3)^2)