What is the derivative of y=e^3x ?

The derivative of y=e^3x is e^3

What is the first derivative of y=e^3x ?

The first derivative of y=e^3x is e^3

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derivative of

y = e^{3} x

e^{3}

Solution steps

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

Take the constant out:

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

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

Apply the common derivative:

\frac{d x}{d x} = 1

= e^{3} \cdot 1

Simplify

= e^{3}

(x^{2} + 3 x + 2)^{2} + ln (e) x^{2}

e^{2 x - 1}

\frac{1}{x ^{\frac{3}{2}}}

y = \frac{1}{( x + 3 )}

ln (2 x + 1) (e^{x})^{2}