What is the derivative of (x+2e^x) ?

The derivative of (x+2e^x) is e^xx+3e^x

What is the first derivative of (x+2e^x) ?

The first derivative of (x+2e^x) is e^xx+3e^x

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

e^{x} x + 3 e^{x}

Solution steps

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

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x + 2, g = e^{x}

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

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

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

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

Simplify

1 \cdot e^{x} + e^{x} (x + 2) : e^{x} x + 3 e^{x}

= e^{x} x + 3 e^{x}

\frac{\partial}{\partial x} (\frac{- 2 x - y}{( x - y ) ^{4}})

\int x \cdot ln (\frac{1}{x}) d x

\int \frac{1 - e ^{- 4 x}}{1 + e ^{- 4 x}} d x

(1 + 4 x)^{\frac{3}{2}}

\frac{d P}{d t} = 4 P + a

What is the derivative of (x+2e^x) ?
The derivative of (x+2e^x) is e^xx+3e^x
What is the first derivative of (x+2e^x) ?
The first derivative of (x+2e^x) is e^xx+3e^x