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}

x \to 0 lim (x \cdot sin (x))

\int_{1}^{\infty} 15 e^{- 5 x} d x

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

f (x) = (1 - x^{3}) + (1 - x^{3})

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

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