What is the derivative of Ce^{3x} ?

The derivative of Ce^{3x} is Ce^{3x}*3

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

The first derivative of Ce^{3x} is Ce^{3x}*3

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

C e^{3 x} \cdot 3

Solution steps

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

Treat

C

as a constant

Take the constant out:

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

= C \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

= C e^{3 x} \cdot 3

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