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

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

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

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

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

9 e^{3 x}

Solution steps

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

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 x^{2} - 5 x + 9 d x

1 + t e^{t}

\frac{d}{d x} (sin^{2} (x) + y)

1 - 1 (t)

\int t^{3} (3 t^{2} - 4)^{\frac{5}{2}} d t

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