What is the derivative of x^{2/3}+y^{2/3} ?

The derivative of x^{2/3}+y^{2/3} is 2/(3x^{1/3)}+(2\frac{dy)/(dx)}{3y^{1/3}}

What is the first derivative of x^{2/3}+y^{2/3} ?

The first derivative of x^{2/3}+y^{2/3} is 2/(3x^{1/3)}+(2\frac{dy)/(dx)}{3y^{1/3}}

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

\frac{2}{3 x ^{\frac{1}{3}}} + \frac{2 \frac{d y}{d x}}{3 y ^{\frac{1}{3}}}

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

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

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

\frac{d}{d x} (- tan (x^{2}))

\int_{- 2}^{0} x^{2} d x

\int_{0}^{5} x^{2} 25 - x^{2} d x

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

\int \frac{1}{ln ( x ^{2} )} d x

What is the derivative of x^{2/3}+y^{2/3} ?
The derivative of x^{2/3}+y^{2/3} is 2/(3x^{1/3)}+(2\frac{dy)/(dx)}{3y^{1/3}}
What is the first derivative of x^{2/3}+y^{2/3} ?
The first derivative of x^{2/3}+y^{2/3} is 2/(3x^{1/3)}+(2\frac{dy)/(dx)}{3y^{1/3}}