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Beliebt Rechnen >

(\partial)/(\partial y)(sqrt(y-x)-z)

Lösung

\frac{\partial}{\partial y} (y - x - z)

Lösung

\frac{1}{2 y - x}

Schritte zur Lösung

\frac{\partial}{\partial y} (y - x - z)

Behandle

x, z

als Konstanten

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial y} (y - x) - \frac{\partial}{\partial y} (z)

\frac{\partial}{\partial y} (y - x) = \frac{1}{2 y - x}

\frac{\partial}{\partial y} (z) = 0

= \frac{1}{2 y - x} - 0

Vereinfache

= \frac{1}{2 y - x}

Beliebte Beispiele

f(x)=5-3(1+x^2)^{-1}

f (x) = 5 - 3 (1 + x^{2})^{- 1}

limit as x approaches 1 of (2x^3-14x^2+12x)/(x^3-10x^2+27x-18)

x \to 1 lim (\frac{2 x ^{3} - 14 x ^{2} + 12 x}{x ^{3} - 10 x ^{2} + 27 x - 18})

x*(dy)/(dx)+y=y^2x^2ln(x)

x \cdot \frac{d y}{d x} + y = y^{2} x^{2} ln (x)

derivative cos(a^6+x^6)

d er i v a t i v e cos (a^{6} + x^{6})

derivative of ln(sqrt(b-ax))

\frac{d}{d x} (ln (b - a x))