What is the derivative of 1/3 e^{3x} ?

The derivative of 1/3 e^{3x} is e^{3x}

What is the first derivative of 1/3 e^{3x} ?

The first derivative of 1/3 e^{3x} is e^{3x}

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\frac{d}{d x} (\frac{1}{3} e^{3 x})

e^{3 x}

Solution steps

\frac{d}{d x} (\frac{1}{3} e^{3 x})

Take the constant out:

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

= \frac{1}{3} \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) = 3

= \frac{1}{3} e^{3 x} \cdot 3

Simplify

\frac{1}{3} e^{3 x} \cdot 3 : e^{3 x}

= e^{3 x}

\frac{d}{d x} (2 cos (x))

\int \frac{6}{10 x - x ^{2}} d x

\frac{d}{d x} (x^{2} + \frac{128}{x})

y^{^{'''}} + 8 y^{^{''}} = - 6 x^{2} + 9 x + 2

ln (sec (2 x) + tan (2 x))

What is the derivative of 1/3 e^{3x} ?
The derivative of 1/3 e^{3x} is e^{3x}
What is the first derivative of 1/3 e^{3x} ?
The first derivative of 1/3 e^{3x} is e^{3x}