What is the derivative of (10x^3/3) ?

The derivative of (10x^3/3) is 10x^2

What is the first derivative of (10x^3/3) ?

The first derivative of (10x^3/3) is 10x^2

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\frac{d}{d x} (\frac{10 x ^{3}}{3})

10 x^{2}

Solution steps

\frac{d}{d x} (\frac{10 x ^{3}}{3})

Take the constant out:

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

= \frac{10}{3} \frac{d}{d x} (x^{3})

Apply the Power Rule:

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

= \frac{10}{3} \cdot 3 x^{3 - 1}

Simplify

\frac{10}{3} \cdot 3 x^{3 - 1} : 10 x^{2}

= 10 x^{2}

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

x \to \frac{x}{3} lim (sec (x))

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

\frac{d}{d x} (\frac{1}{3 x ^{2} + 5 x})

\int e^{- y^{2}} y d y

What is the derivative of (10x^3/3) ?
The derivative of (10x^3/3) is 10x^2
What is the first derivative of (10x^3/3) ?
The first derivative of (10x^3/3) is 10x^2