Find the derivative of a power function Calculus

Find the derivative of the following functions.

f:x\longmapsto\dfrac52x^{\frac25}

f'\left(x\right)=0{,}6{x^{0.6}}

f'\left(x\right)=\dfrac1{x^{1{,}4}}

f'\left(x\right)=\dfrac1{x^{0.6}}

f'\left(x\right)={x^{0.6}}

f : x \longmapsto -5x^{3}

f'\left(x\right) = -15x^{2}

f'\left(x\right) = -2x^{2}

f'\left(x\right) = \dfrac{-15}{x^2}

f'\left(x\right) =-5x^2

f : x \longmapsto \dfrac{1}{2}x^{\frac{-1}{2}}

f'\left(x\right) = \dfrac{-0.25}{x^{1.5}}

f'\left(x\right) = \dfrac{0.25}{x^{1.5}}

f'\left(x\right) = 0

f'\left(x\right) = x^{1.5}

f : x \longmapsto \dfrac{9}{x}

f'\left(x\right) = \dfrac{-9}{x^2}

f'\left(x\right) = \dfrac{9}{x^2}

f'\left(x\right) = 9

f'\left(x\right) = 9x

f : x \longmapsto 3x^{3}

f'\left(x\right) = 9x^{2}

f'\left(x\right) = x^6

f'\left(x\right) = 6x^{2}

f'\left(x\right) = \dfrac{9}{x^4}

f : x \longmapsto \dfrac{1}{4}x^{\frac{1}{2}}

f'\left(x\right) = \dfrac{1}{8x^{0.5}}

f'\left(x\right) = \dfrac{1}{2x^{0.5}}

f'\left(x\right) = \dfrac{1}{2} x

f'\left(x\right) = \dfrac{-1}{4} x^{0.5}

f : x \longmapsto \left( \dfrac{2}{3} \cdot 2 \right)x^{\frac{3}{2}}

f'\left(x\right) = 2x^{0.5}

f'\left(x\right) = 3x^{0.5}

f'\left(x\right) = \dfrac{3}{x^{0.5}}

f'\left(x\right) = \dfrac{2}{x^{2.5}}