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

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

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

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

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derivative of

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

\frac{d}{d x} (\frac{9}{x ^{3}} + \frac{1}{x})

\int_{0}^{1} (x^{3})^{2} d x

\frac{d y}{d x}, e^{x} y = 5

y = \frac{4 x}{x + 2}

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