What is the derivative of (5/3 x^2) ?

The derivative of (5/3 x^2) is (10x)/3

What is the first derivative of (5/3 x^2) ?

The first derivative of (5/3 x^2) is (10x)/3

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

\frac{10 x}{3}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

= \frac{5}{3} \cdot 2 x^{2 - 1}

Simplify

\frac{5}{3} \cdot 2 x^{2 - 1} : \frac{10 x}{3}

= \frac{10 x}{3}

\int (4 x)^{2} d x

\int_{4}^{8} t^{2} ln (3 t) d t

\int \frac{1}{6 x ( 3 + x )} d x

(x^{2} - x y + 2 y^{2}) d x + (x^{2} - 2 x y) d y = 0

lo g_{2} (3 - 2 x)

What is the derivative of (5/3 x^2) ?
The derivative of (5/3 x^2) is (10x)/3
What is the first derivative of (5/3 x^2) ?
The first derivative of (5/3 x^2) is (10x)/3