What is the derivative of xen(x) ?

The derivative of xen(x) is 2enx

What is the first derivative of xen(x) ?

The first derivative of xen(x) is 2enx

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\frac{d}{d x} (x e n (x))

2 e n x

Solution steps

\frac{d}{d x} (x e n (x))

Simplify

x e n (x) : e n x^{2}

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

Take the constant out:

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

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

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= e n \cdot 2 x^{2 - 1}

Simplify

= 2 e n x

x \to 0 lim (\frac{8 x}{sin ( x )})

\frac{\partial}{\partial x} (7 x - 5 x^{2} y + 8 y z^{2})

\int \frac{x ^{3}}{x ^{2} + 100} d x

f (x) = - 4 sin (x) + 9 x

y = - arcsin (5 x^{2} + 4)