What is the derivative of x^3\sqrt[3]{x} ?

The derivative of x^3\sqrt[3]{x} is (10x^{7/3})/3

What is the first derivative of x^3\sqrt[3]{x} ?

The first derivative of x^3\sqrt[3]{x} is (10x^{7/3})/3

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

\frac{10 x ^{\frac{7}{3}}}{3}

Solution steps

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

Simplify

x^{3} 3 x : x^{\frac{10}{3}}

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

Apply the Power Rule:

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

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

Simplify

\frac{10}{3} x^{\frac{10}{3} - 1} : \frac{10 x ^{\frac{7}{3}}}{3}

= \frac{10 x ^{\frac{7}{3}}}{3}

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

x^{3} - 7 x

x \to 10 lim (x - 10)

\int x^{\frac{4}{5}} d x

\frac{\partial}{\partial x} (\frac{2 x + 7}{2 y + 1})

What is the derivative of x^3\sqrt[3]{x} ?
The derivative of x^3\sqrt[3]{x} is (10x^{7/3})/3
What is the first derivative of x^3\sqrt[3]{x} ?
The first derivative of x^3\sqrt[3]{x} is (10x^{7/3})/3