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Beliebt Rechnen >

(\partial)/(\partial x)(100x^{0.66}y^{0.34})

Lösung

\frac{\partial}{\partial x} (100 x^{0.66} y^{0.34})

Lösung

\frac{66 y ^{0.34}}{x ^{0.34}}

Schritte zur Lösung

\frac{\partial}{\partial x} (100 x^{0.66} y^{0.34})

Behandle

y

als Konstante

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 100 y^{0.34} \frac{\partial}{\partial x} (x^{0.66})

Wende die Potenzregel an:

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

= 100 y^{0.34} \cdot 0.66 x^{0.66 - 1}

Vereinfache

100 y^{0.34} \cdot 0.66 x^{0.66 - 1} : \frac{66 y ^{0.34}}{x ^{0.34}}

= \frac{66 y ^{0.34}}{x ^{0.34}}

Beliebte Beispiele

derivative of a^{3x^2}

\frac{d}{d x} (a^{3 x^{2}})

taylor-4x^3+3x^2-6x+10

t a y l or - 4 x^{3} + 3 x^{2} - 6 x + 10

derivative y=x^3-14x^2+32x+4

d er i v a t i v e y = x^{3} - 14 x^{2} + 32 x + 4

limit as s approaches 0 of (-2s)/(s-3)

s \to 0 lim (\frac{- 2 s}{s - 3})

fläche y=-x^2+4,y=1-x

a re a y = - x^{2} + 4, y = 1 - x