What is the first derivative of 10x^2 ?

The first derivative of 10x^2 is 20x

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derivative of 10x^2

derivative of

10 x^{2}

20 x

Solution steps

\frac{d}{d x} (10 x^{2})

Take the constant out:

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

= 10 \frac{d}{d x} (x^{2})

Apply the Power Rule:

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

= 10 \cdot 2 x^{2 - 1}

Simplify

= 20 x

\frac{d}{d x} (\frac{2 x ^{2} - 3}{x ^{2} + 1})

(5 x^{2})^{^{'}}

y^{^{'}} + 2 t y = 5 t

y = x^{2}, y = 18 - x^{2}

y = x^{2}, x = 3