What is the derivative of 1/(5+2x) ?

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

What is the first derivative of 1/(5+2x) ?

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

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\frac{d}{d x} (\frac{1}{5 + 2 x})

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

Solution steps

\frac{d}{d x} (\frac{1}{5 + 2 x})

Apply exponent rule:

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

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

Apply the chain rule:

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

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

\frac{d}{d x} (5 + 2 x) = 2

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

Simplify

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

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

y = 5 x - 2, (5, 23)

at + b

y = x^{2} - 2 x

x \to 2 lim (e^{x - 5})

\int e^{1 - 2 x} d x

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