What is the derivative of 0.2x^2 ?

The derivative of 0.2x^2 is 0.4x

What is the first derivative of 0.2x^2 ?

The first derivative of 0.2x^2 is 0.4x

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\frac{d}{d x} (0.2 x^{2})

0.4 x

Solution steps

\frac{d}{d x} (0.2 x^{2})

Take the constant out:

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

= 0.2 \frac{d}{d x} (x^{2})

Apply the Power Rule:

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

= 0.2 \cdot 2 x^{2 - 1}

Simplify

= 0.4 x

\frac{d ^{2}}{d x ^{2}} (14 x^{3} - 36 x^{2})

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