What is the derivative of f(x)=x^{2/5} ?

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

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

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

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derivative of

f (x) = 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}}}

2 sin (3 t) + 5 cos (3 t)

y^{^{''}} + 13 y = 0

\frac{d y}{d x} = \frac{x + x y ^{2}}{4 y}

\int_{0}^{\frac{3 π}{2}} cos^{3} (17 x) d x

y = x + 1, x = 8

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