What is the first derivative of x^2*2 ?

The first derivative of x^2*2 is 4x

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derivative of x^2*2

derivative of

x^{2} \cdot 2

4 x

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

= 4 x

x \to \infty lim (- 2 e^{- x} + 2)

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