What is the first derivative of ex^2 ?

The first derivative of ex^2 is 2ex

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derivative of ex^2

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

2 e x

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

= e 2 x^{2 - 1}

Simplify

= 2 e x

\frac{d}{d x} (x^{3} + 2 x^{2} - 4 x + 5)

\frac{\partial}{\partial y} (\frac{x}{x ^{6} - y ^{4}})

y^{^{'}} + y = e^{- t} - 1

\frac{d}{d x} (5 x^{4} ln (x) + x^{4})

\frac{1}{4} (x - 3)^{2} + 1, x^{2} + 1, 0, 3