What is the derivative of 0.1x^2 ?

The derivative of 0.1x^2 is 0.2x

What is the first derivative of 0.1x^2 ?

The first derivative of 0.1x^2 is 0.2x

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\frac{d}{d x} (0.1 x^{2})

0.2 x

Solution steps

\frac{d}{d x} (0.1 x^{2})

Take the constant out:

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

= 0.1 \frac{d}{d x} (x^{2})

Apply the Power Rule:

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

= 0.1 \cdot 2 x^{2 - 1}

Simplify

= 0.2 x

\int \frac{x + 2}{4 - x ^{2}} d x

e^{x}

\frac{\partial}{\partial x} (x^{3} + y z^{2})

x \to 3 lim (\frac{1}{ln ^{2} ( \frac{x}{3} )})

(x^{2} - 2)^{2}