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}

Decimal

20.08553 \dots

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}

d er i v a t i v e e^{2 x - 1}

d er i v a t i v e x^{3} y^{4}

d er i v a t i v e y = sin (x^{2} + 2 x + 3)

\frac{d}{d o} (5^{c} os x)

d er i v a t i v e t^{\frac{1}{4}}