What is the first derivative of xe^2 ?

The first derivative of xe^2 is e^2

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derivative of xe^2

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

e^{2}

Solution steps

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

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}

4 x (2 x - 3)^{7}

\frac{\partial}{\partial x} (x^{4} sin (2 x))

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\frac{d}{d x} (x - ln (sec (x) + tan (x)))

(- 2 x^{3} + x^{2} - 2 x - 1) x^{3}