What is the first derivative of e^2x ?

The first derivative of e^2x is e^2

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derivative of e^2x

derivative of

e^{2} x

e^{2}

Solution steps

\frac{d}{d x} (e^{2} x)

Take the constant out:

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

= e^{2} \frac{d x}{d x}

Apply the common derivative:

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

= e^{2} \cdot 1

Simplify

= e^{2}

\int sin^{3} (\frac{x}{6}) d x

x (\frac{d y}{d x}) = y^{2} - y

y = 2 x, y = 2 x^{3}

\frac{\partial}{\partial x} (\frac{x}{y - x y})