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

The derivative of e^{3x}*3 is 9e^{3x}

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

The first derivative of e^{3x}*3 is 9e^{3x}

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

9 e^{3 x}

Solution steps

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

Take the constant out:

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

= 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

= 3 e^{3 x} \cdot 3

Simplify

= 9 e^{3 x}

\int cos (6 y) - cos (- 6 y) d y

\frac{d}{d x} (\frac{1}{3 x + 6})

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

\int \frac{x ^{3} - 1}{x ^{3} + x} d x

\int \frac{1}{x - 1 \cdot ( x ^{2} )} d x

What is the derivative of e^{3x}*3 ?
The derivative of e^{3x}*3 is 9e^{3x}
What is the first derivative of e^{3x}*3 ?
The first derivative of e^{3x}*3 is 9e^{3x}