What is the derivative of f(x)=e^{sqrt(3x)} ?

The derivative of f(x)=e^{sqrt(3x)} is (sqrt(3)e^{sqrt(3)sqrt(x)})/(2sqrt(x))

What is the first derivative of f(x)=e^{sqrt(3x)} ?

The first derivative of f(x)=e^{sqrt(3x)} is (sqrt(3)e^{sqrt(3)sqrt(x)})/(2sqrt(x))

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derivative of

f (x) = e^{3 x}

\frac{3 e ^{3 x}}{2 x}

Solution steps

\frac{d}{d x} (e^{3 x})

Simplify

e^{3 x} : e^{3 x}

= \frac{d}{d x} (e^{3 x})

Apply the chain rule:

e^{3 x} \frac{d}{d x} (3 x)

= e^{3 x} \frac{d}{d x} (3 x)

\frac{d}{d x} (3 x) = \frac{3}{2 x}

= e^{3 x} \frac{3}{2 x}

Multiply fractions:

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

= \frac{3 e ^{3 x}}{2 x}

\frac{5 ( 2 ) ^{2}}{3 ( 2 ) - 1}

x \to \infty lim (\frac{x}{7})

\frac{d}{d x} ((x^{20} - 22 x + 8) e^{x})

t x^{^{'}} + 4 x = 0

\int_{0}^{64} \frac{2}{x ^{\frac{2}{3}}} d x

What is the derivative of f(x)=e^{sqrt(3x)} ?
The derivative of f(x)=e^{sqrt(3x)} is (sqrt(3)e^{sqrt(3)sqrt(x)})/(2sqrt(x))
What is the first derivative of f(x)=e^{sqrt(3x)} ?
The first derivative of f(x)=e^{sqrt(3x)} is (sqrt(3)e^{sqrt(3)sqrt(x)})/(2sqrt(x))