What is the derivative of 5/3 x^3 ?

The derivative of 5/3 x^3 is 5x^2

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

The first derivative of 5/3 x^3 is 5x^2

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

5 x^{2}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

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

= 5 x^{2}

(- 2, 5), (4, - 4)

f (x) = \frac{( x ^{2} )}{x + 9}, at x = 2

5^{t}, 0

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

\frac{\partial}{\partial x} (3 y e^{5 x})

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