What is the derivative of e^{sqrt(x)}+x ?

The derivative of e^{sqrt(x)}+x is (e^{sqrt(x)})/(2sqrt(x))+1

What is the first derivative of e^{sqrt(x)}+x ?

The first derivative of e^{sqrt(x)}+x is (e^{sqrt(x)})/(2sqrt(x))+1

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

\frac{e ^{x}}{2 x} + 1

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d x}{d x} = 1

= \frac{e ^{x}}{2 x} + 1

\frac{d}{d x} (9 x^{2} cos (x) cot (x))

\int_{1}^{2} \frac{1}{3 - x} d x

\frac{d}{d x} (\frac{ln ( x )}{4 x ^{2}})

\int x - 7 cos (x) d x

\int sin^{2} (\frac{3 x}{2}) d x

What is the derivative of e^{sqrt(x)}+x ?
The derivative of e^{sqrt(x)}+x is (e^{sqrt(x)})/(2sqrt(x))+1
What is the first derivative of e^{sqrt(x)}+x ?
The first derivative of e^{sqrt(x)}+x is (e^{sqrt(x)})/(2sqrt(x))+1