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

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

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

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

Popular >

derivative of

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

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

Solution steps

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

Apply exponent rule:

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

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

Apply the chain rule:

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

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

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

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

Simplify

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

\int_{0}^{\frac{π}{2}} 5 cos^{2} (x) d x

\int \frac{9 x - 4}{x ^{3} - 4 x ^{2}} d x

\int_{1}^{6} ln (x) d x

\frac{d}{d t} (e^{a (e^{t} - 1)})

y^{^{''}} + 3 y^{^{'}} + 2 y = 7 cos (x) - sin (x)

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