What is the derivative of 3/(x-8) ?

The derivative of 3/(x-8) is -3/((x-8)^2)

What is the first derivative of 3/(x-8) ?

The first derivative of 3/(x-8) is -3/((x-8)^2)

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\frac{d}{d x} (\frac{3}{x - 8})

- \frac{3}{( x - 8 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{3}{x - 8})

Take the constant out:

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

= 3 \frac{d}{d x} (\frac{1}{x - 8})

Apply exponent rule:

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

= 3 \frac{d}{d x} ((x - 8)^{- 1})

Apply the chain rule:

- \frac{1}{( x - 8 ) ^{2}} \frac{d}{d x} (x - 8)

= - \frac{1}{( x - 8 ) ^{2}} \frac{d}{d x} (x - 8)

\frac{d}{d x} (x - 8) = 1

= 3 (- \frac{1}{( x - 8 ) ^{2}} \cdot 1)

Simplify

3 (- \frac{1}{( x - 8 ) ^{2}} \cdot 1) : - \frac{3}{( x - 8 ) ^{2}}

= - \frac{3}{( x - 8 ) ^{2}}

\int \frac{1}{sin ^{2} ( 5 x )} d x

\frac{d}{d z} (x y z)

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

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

x \to 1 lim (ln (x))

What is the derivative of 3/(x-8) ?
The derivative of 3/(x-8) is -3/((x-8)^2)
What is the first derivative of 3/(x-8) ?
The first derivative of 3/(x-8) is -3/((x-8)^2)