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

The derivative of (2x^2/3) is (4x)/3

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

The first derivative of (2x^2/3) is (4x)/3

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\frac{d}{d x} (\frac{2 x ^{2}}{3})

\frac{4 x}{3}

Solution steps

\frac{d}{d x} (\frac{2 x ^{2}}{3})

Take the constant out:

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

= \frac{2}{3} \frac{d}{d x} (x^{2})

Apply the Power Rule:

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

= \frac{2}{3} \cdot 2 x^{2 - 1}

Simplify

\frac{2}{3} \cdot 2 x^{2 - 1} : \frac{4 x}{3}

= \frac{4 x}{3}

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

\frac{d}{d x} (17 e^{x^{2}})

y^{^{''}} + 8 y^{^{'}} = 0, y (0) = 1, y^{^{'}} (0) = 1

(x^{4} + 2)^{2} (x^{3} + 4)^{4}

\int 9 sin^{2} (3 x) cos (3 x) ln (sin (3 x)) d x

What is the derivative of (2x^2/3) ?
The derivative of (2x^2/3) is (4x)/3
What is the first derivative of (2x^2/3) ?
The first derivative of (2x^2/3) is (4x)/3