What is the derivative of e^{1/2}x ?

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

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

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

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derivative of

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

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

Decimal

1.64872 \dots

Solution steps

\frac{d}{d x} (e^{\frac{1}{2}} x)

Take the constant out:

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

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

Apply the common derivative:

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

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

Simplify

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

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