What is the derivative of 6/(x+4) ?

The derivative of 6/(x+4) is -6/((x+4)^2)

What is the first derivative of 6/(x+4) ?

The first derivative of 6/(x+4) is -6/((x+4)^2)

Popular >

\frac{d}{d x} (\frac{6}{x + 4})

- \frac{6}{( x + 4 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{6}{x + 4})

Take the constant out:

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

= 6 \frac{d}{d x} (\frac{1}{x + 4})

Apply exponent rule:

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

= 6 \frac{d}{d x} ((x + 4)^{- 1})

Apply the chain rule:

- \frac{1}{( x + 4 ) ^{2}} \frac{d}{d x} (x + 4)

= - \frac{1}{( x + 4 ) ^{2}} \frac{d}{d x} (x + 4)

\frac{d}{d x} (x + 4) = 1

= 6 (- \frac{1}{( x + 4 ) ^{2}} \cdot 1)

Simplify

6 (- \frac{1}{( x + 4 ) ^{2}} \cdot 1) : - \frac{6}{( x + 4 ) ^{2}}

= - \frac{6}{( x + 4 ) ^{2}}

(15, 250), (20, 111)

\frac{8 - x}{5} + \frac{16 + x ^{2}}{3}

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

\int \frac{1}{x 16 x ^{2} - 1} d x

f (x) = \frac{t}{( t - 7 ) ^{2}}

What is the derivative of 6/(x+4) ?
The derivative of 6/(x+4) is -6/((x+4)^2)
What is the first derivative of 6/(x+4) ?
The first derivative of 6/(x+4) is -6/((x+4)^2)