What is the derivative of e^x+e^x*x ?

The derivative of e^x+e^x*x is e^xx+2e^x

What is the first derivative of e^x+e^x*x ?

The first derivative of e^x+e^x*x is e^xx+2e^x

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

e^{x} x + 2 e^{x}

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

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

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

Simplify

= e^{x} x + 2 e^{x}

\int \frac{x ^{5}}{x + 1} d x

\frac{4 x}{x - 5}

y = tan (\frac{t}{1 + t ^{2}})

\int_{0}^{1} 4 π (x^{2} - x^{10}) d x

\frac{3}{x}

What is the derivative of e^x+e^x*x ?
The derivative of e^x+e^x*x is e^xx+2e^x
What is the first derivative of e^x+e^x*x ?
The first derivative of e^x+e^x*x is e^xx+2e^x