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

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

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

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

Popular >

derivative of

f (x) = \frac{1}{x + 2}

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

Solution steps

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

Apply exponent rule:

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

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

Apply the chain rule:

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

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

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

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

Simplify

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

\frac{\partial}{\partial x} (\frac{x}{3 + y})

\int \frac{1}{x ^{2} + 5 x + 4} d x

x \to 5 lim (x - 9)

\frac{x}{2 x + 1}

\int \frac{lo g _{10} ( x ^{2} )}{x} d x

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