What is the derivative of xsqrt(x)\sqrt[3]{x} ?

The derivative of xsqrt(x)\sqrt[3]{x} is (11x^{5/6})/6

What is the first derivative of xsqrt(x)\sqrt[3]{x} ?

The first derivative of xsqrt(x)\sqrt[3]{x} is (11x^{5/6})/6

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\frac{11 x ^{\frac{5}{6}}}{6}

Solution steps

Simplify

= \frac{d}{d x} (x^{\frac{11}{6}})

Apply the Power Rule:

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

= \frac{11}{6} x^{\frac{11}{6} - 1}

Simplify

\frac{11}{6} x^{\frac{11}{6} - 1} : \frac{11 x ^{\frac{5}{6}}}{6}

= \frac{11 x ^{\frac{5}{6}}}{6}

\frac{d y}{d x} + y^{7} x + 7 y = 0

\frac{\partial}{\partial y} (x^{2} z^{2} sin (4 y))

\int (x cos (3 x)) d x

x \to - 2 lim (\frac{2 x ^{3} + 9 x ^{2} + 12 x + 4}{- x ^{3} - 2 x ^{2} + 4 x + 8})

\int - x^{\frac{3}{2}} d x

What is the derivative of xsqrt(x)\sqrt[3]{x} ?
The derivative of xsqrt(x)\sqrt[3]{x} is (11x^{5/6})/6
What is the first derivative of xsqrt(x)\sqrt[3]{x} ?
The first derivative of xsqrt(x)\sqrt[3]{x} is (11x^{5/6})/6