What is the derivative of 7e^{sqrt(x)} ?

The derivative of 7e^{sqrt(x)} is (7e^{sqrt(x)})/(2sqrt(x))

What is the first derivative of 7e^{sqrt(x)} ?

The first derivative of 7e^{sqrt(x)} is (7e^{sqrt(x)})/(2sqrt(x))

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derivative of

7 e^{x}

\frac{7 e ^{x}}{2 x}

Solution steps

\frac{d}{d x} (7 e^{x})

Take the constant out:

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

= 7 \frac{d}{d x} (e^{x})

Apply the chain rule:

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

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

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

= 7 e^{x} \frac{1}{2 x}

Simplify

7 e^{x} \frac{1}{2 x} : \frac{7 e ^{x}}{2 x}

= \frac{7 e ^{x}}{2 x}

What is the derivative of 7e^{sqrt(x)} ?
The derivative of 7e^{sqrt(x)} is (7e^{sqrt(x)})/(2sqrt(x))
What is the first derivative of 7e^{sqrt(x)} ?
The first derivative of 7e^{sqrt(x)} is (7e^{sqrt(x)})/(2sqrt(x))