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

The derivative of 2e^{x/2} is e^{x/2}

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

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

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

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

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 2 \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}

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

Simplify

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

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

\frac{d x}{d y} = \frac{y}{x ^{2}}

\frac{6 - x e ^{x}}{x + e ^{x}}

\frac{\partial}{\partial y} (\frac{1}{2 x + y})

\frac{d}{d x} (\frac{x - 4}{x + 4})

y (x + 1) + y^{^{'}} = 0

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