What is (\partial)/(\partial x)((x+2y^3)^{1/3}) ?

The answer to (\partial)/(\partial x)((x+2y^3)^{1/3}) is 1/(3(x+2y^3)^{2/3)}

Popular >

(\partial)/(\partial x)((x+2y^3)^{1/3})

\frac{\partial}{\partial x} ((x + 2 y^{3})^{\frac{1}{3}})

\frac{1}{3 ( x + 2 y ^{3} ) ^{\frac{2}{3}}}

Solution steps

\frac{\partial}{\partial x} ((x + 2 y^{3})^{\frac{1}{3}})

Treat

y

as a constant

Apply the chain rule:

\frac{1}{3 ( x + 2 y ^{3} ) ^{\frac{2}{3}}} \frac{\partial}{\partial x} (x + 2 y^{3})

= \frac{1}{3 ( x + 2 y ^{3} ) ^{\frac{2}{3}}} \frac{\partial}{\partial x} (x + 2 y^{3})

\frac{\partial}{\partial x} (x + 2 y^{3}) = 1

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

Simplify

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

\frac{d}{d x} (\frac{( x cos ( x ) + π )}{x - π})

x^{- 0.5}

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

x \to 2 lim (4 x^{2} - 2 x)

\int x \cdot 2^{- x} d x

What is (\partial)/(\partial x)((x+2y^3)^{1/3}) ?
The answer to (\partial)/(\partial x)((x+2y^3)^{1/3}) is 1/(3(x+2y^3)^{2/3)}