What is the derivative of 3/(x+9) ?

The derivative of 3/(x+9) is -3/((x+9)^2)

What is the first derivative of 3/(x+9) ?

The first derivative of 3/(x+9) is -3/((x+9)^2)

Popular >

\frac{d}{d x} (\frac{3}{x + 9})

- \frac{3}{( x + 9 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{3}{x + 9})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 3 \frac{d}{d x} (\frac{1}{x + 9})

Apply exponent rule:

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

= 3 \frac{d}{d x} ((x + 9)^{- 1})

Apply the chain rule:

- \frac{1}{( x + 9 ) ^{2}} \frac{d}{d x} (x + 9)

= - \frac{1}{( x + 9 ) ^{2}} \frac{d}{d x} (x + 9)

\frac{d}{d x} (x + 9) = 1

= 3 (- \frac{1}{( x + 9 ) ^{2}} \cdot 1)

Simplify

3 (- \frac{1}{( x + 9 ) ^{2}} \cdot 1) : - \frac{3}{( x + 9 ) ^{2}}

= - \frac{3}{( x + 9 ) ^{2}}

- 7 z^{4} + z^{2} - 25

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

x \to 4 lim (\frac{∣ x ∣ - 4}{x - 4})

\frac{\partial}{\partial z} (x e^{- y} - z)

f (x) = cos (arctan (x))

What is the derivative of 3/(x+9) ?
The derivative of 3/(x+9) is -3/((x+9)^2)
What is the first derivative of 3/(x+9) ?
The first derivative of 3/(x+9) is -3/((x+9)^2)