What is the derivative of (-8)/(5x+5) ?

The derivative of (-8)/(5x+5) is 8/(5(x+1)^2)

What is the first derivative of (-8)/(5x+5) ?

The first derivative of (-8)/(5x+5) is 8/(5(x+1)^2)

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derivative of

\frac{- 8}{5 x + 5}

\frac{8}{5 ( x + 1 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{- 8}{5 x + 5})

Simplify

\frac{- 8}{5 x + 5} : - \frac{8}{5 x + 5}

= \frac{d}{d x} (- \frac{8}{5 x + 5})

Take the constant out:

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

= - 8 \frac{d}{d x} (\frac{1}{5 x + 5})

Apply exponent rule:

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

= - 8 \frac{d}{d x} ((5 x + 5)^{- 1})

Apply the chain rule:

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

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

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

= - 8 (- \frac{1}{( 5 x + 5 ) ^{2}} \cdot 5)

Simplify

- 8 (- \frac{1}{( 5 x + 5 ) ^{2}} \cdot 5) : \frac{8}{5 ( x + 1 ) ^{2}}

= \frac{8}{5 ( x + 1 ) ^{2}}

\frac{d}{d x} (tan (2))

e^{2 x} - sin (3 x)

\int 5 x e^{9 x} d x

\int 3 e^{- 5 x} d x

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

What is the derivative of (-8)/(5x+5) ?
The derivative of (-8)/(5x+5) is 8/(5(x+1)^2)
What is the first derivative of (-8)/(5x+5) ?
The first derivative of (-8)/(5x+5) is 8/(5(x+1)^2)