What is the derivative of 8e^{x/2} ?

The derivative of 8e^{x/2} is 4e^{x/2}

What is the first derivative of 8e^{x/2} ?

The first derivative of 8e^{x/2} is 4e^{x/2}

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\frac{d}{d x} (8 e^{\frac{x}{2}})

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

Solution steps

\frac{d}{d x} (8 e^{\frac{x}{2}})

Take the constant out:

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

= 8 \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}

= 8 e^{\frac{x}{2}} \frac{1}{2}

Simplify

8 e^{\frac{x}{2}} \frac{1}{2} : 4 e^{\frac{x}{2}}

= 4 e^{\frac{x}{2}}

4^{- x}

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

\int_{0}^{5} 2 x e^{- 2 x} d x

\int 16 x ln (2 x) d x

\frac{d}{d x} (\frac{cos ( 2 x )}{2})

What is the derivative of 8e^{x/2} ?
The derivative of 8e^{x/2} is 4e^{x/2}
What is the first derivative of 8e^{x/2} ?
The first derivative of 8e^{x/2} is 4e^{x/2}