What is the derivative of (e^x)/(5+5x) ?

The derivative of (e^x)/(5+5x) is (e^xx)/(5(x+1)^2)

What is the first derivative of (e^x)/(5+5x) ?

The first derivative of (e^x)/(5+5x) is (e^xx)/(5(x+1)^2)

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derivative of

\frac{e ^{x}}{5 + 5 x}

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

Solution steps

\frac{d}{d x} (\frac{e ^{x}}{5 + 5 x})

Apply the Quotient Rule:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

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

\frac{d}{d x} (e^{x}) = e^{x}

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

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

Simplify

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

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

\frac{\partial}{\partial y} (e^{2 y} - y cos (x) y)

n = 1 \sum \infty (sin (8))^{n}

\int x^{2} 25 - x^{2} d x

19 - x^{2}, - 2 x + 16, - 5, 0

(12 x - x^{3} + 1), x^{2} + 29, {0, 7}

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