What is the derivative of e^{(x/2}) ?

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

x \to 0 - lim (\frac{24}{tan ( x )})

x \to 1 + lim (x)

\frac{d}{d x} ((1 + x^{2}) arctan (x))

x^{3} y - y^{2}

\frac{d}{d x} ((x - 3) (x + 6) (x - 9))

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