What is the derivative of y=x^{2/5} ?

The derivative of y=x^{2/5} is 2/(5x^{3/5)}

What is the first derivative of y=x^{2/5} ?

The first derivative of y=x^{2/5} is 2/(5x^{3/5)}

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derivative of

y = x^{\frac{2}{5}}

\frac{2}{5 x ^{\frac{3}{5}}}

Solution steps

\frac{d}{d x} (x^{\frac{2}{5}})

Apply the Power Rule:

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

= \frac{2}{5} x^{\frac{2}{5} - 1}

Simplify

\frac{2}{5} x^{\frac{2}{5} - 1} : \frac{2}{5 x ^{\frac{3}{5}}}

= \frac{2}{5 x ^{\frac{3}{5}}}

\frac{d}{d x} (\frac{f ( x , h ) ( x + h ) - f ( x )}{h})

\frac{d}{d n} (i^{n})

x \to 1 lim (\frac{x ^{3}}{3})

f (x) = \frac{x}{5 + x}

f (x) = \frac{x}{x + 1}, at x = 4

What is the derivative of y=x^{2/5} ?
The derivative of y=x^{2/5} is 2/(5x^{3/5)}
What is the first derivative of y=x^{2/5} ?
The first derivative of y=x^{2/5} is 2/(5x^{3/5)}