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

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

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

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

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

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

Solution steps

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

Apply exponent rule:

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

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

Apply the chain rule:

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

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

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

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

Simplify

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

\frac{64}{16 + x ^{2}}, 1

\frac{\partial}{\partial x} (e^{3 x} cos (5 y))

\frac{1}{t ^{2}}

\int \frac{3 x ^{2} - 8 x + 13}{( x + 3 ) ( x - 1 ) ^{2}} d x

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

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