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Popular >

derivative of \sqrt[3]{2x^2}

Solution

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

Solution

\frac{2 3 2}{3 x ^{\frac{1}{3}}}

Solution steps

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

Apply the chain rule:

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

= \frac{1}{3 ( 2 x ^{2} ) ^{\frac{2}{3}}} \frac{d}{d x} (2 x^{2})

\frac{d}{d x} (2 x^{2}) = 4 x

= \frac{1}{3 ( 2 x ^{2} ) ^{\frac{2}{3}}} \cdot 4 x

Simplify

\frac{1}{3 ( 2 x ^{2} ) ^{\frac{2}{3}}} \cdot 4 x : \frac{2 3 2}{3 x ^{\frac{1}{3}}}

= \frac{2 3 2}{3 x ^{\frac{1}{3}}}

Graph

Popular Examples

integral of 1/(x^5*sqrt(x^2-1))

\int \frac{1}{x ^{5} \cdot x ^{2} - 1} d x

(\partial)/(\partial x)(4xsqrt(y))

\frac{\partial}{\partial x} (4 x y)

inverse oflaplace 3t^2+2t-2 inverse laplace

3 t^{2} + 2 t - 2

derivative of (6x^2+6x+4)/(sqrt(x))derivative of

\frac{6 x ^{2} + 6 x + 4}{x}

y^{''}-4y^'+4y=0,y(0)=-3,y^'(0)=1

y^{^{''}} - 4 y^{^{'}} + 4 y = 0, y (0) = - 3, y^{^{'}} (0) = 1

Frequently Asked Questions (FAQ)

What is the derivative of \sqrt[3]{2x^2} ?
The derivative of \sqrt[3]{2x^2} is (2\sqrt[3]{2})/(3x^{1/3)}
What is the first derivative of \sqrt[3]{2x^2} ?
The first derivative of \sqrt[3]{2x^2} is (2\sqrt[3]{2})/(3x^{1/3)}