What is derivative of f(x)=y^{2/3} ?

The answer to derivative of f(x)=y^{2/3} is (dy)/(dx)=0

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derivative of f(x)=y^{2/3}

derivative of

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

\frac{d y}{d x} = 0

Solution steps

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

Treat

y

y (x)

Differentiate both sides:

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

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = 0

\frac{d y}{d x} = 0

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15 sin (- π x) tan (\frac{2}{3} π x)

f (x) = 3 x^{2} - 6 x + 5

\int_{0}^{\frac{π}{2}} 7 sin^{2} (2 x) d x

\int e^{7 x} (7) d x

What is derivative of f(x)=y^{2/3} ?
The answer to derivative of f(x)=y^{2/3} is (dy)/(dx)=0