What is the derivative of e(-x/2) ?

The derivative of e(-x/2) is -e/2

What is the first derivative of e(-x/2) ?

The first derivative of e(-x/2) is -e/2

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

- \frac{e}{2}

Solution steps

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

Simplify

e \frac{- x}{2} : - \frac{e x}{2}

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

Take the constant out:

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

= - \frac{e}{2} \frac{d x}{d x}

Apply the common derivative:

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

= - \frac{e}{2} \cdot 1

Simplify

= - \frac{e}{2}

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

x \to 0 lim (2 x)

\int e^{2 x} ln (x) d x

\int (\frac{4}{x} + sec^{2} (x)) d x

x y^{^{'}} + y = e^{x}, y (1) = 8

What is the derivative of e(-x/2) ?
The derivative of e(-x/2) is -e/2
What is the first derivative of e(-x/2) ?
The first derivative of e(-x/2) is -e/2