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

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

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

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

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derivative of

y = e^{7 x}

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

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (7 x) = \frac{7}{2 x}

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

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

(1 - x^{2})^{- \frac{1}{2}}, 0

x \to 3 lim (- 5)

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

\frac{( t + 2 t ^{2} )}{1 + t ^{2}}

5 + 6 x

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