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

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

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

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

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derivative of

y = 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}

\int \frac{1}{x ^{2} 4 x ^{2} + 49} d x

\int \frac{- x ^{2} - 1}{x ^{2} - 1} d x

9 e^{x} (cos (x) - sin (x))

n = 0 \sum \infty (- x)^{n}

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