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Beliebt Rechnen >

(\partial)/(\partial u)(u^2-v^2)

Lösung

\frac{\partial}{\partial u} (u^{2} - v^{2})

Lösung

2 u

Schritte zur Lösung

\frac{\partial}{\partial u} (u^{2} - v^{2})

Behandle

v

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial u} (u^{2}) - \frac{\partial}{\partial u} (v^{2})

\frac{\partial}{\partial u} (u^{2}) = 2 u

\frac{\partial}{\partial u} (v^{2}) = 0

= 2 u - 0

Vereinfache

= 2 u

Beliebte Beispiele

derivative 1/(1+t)

d er i v a t i v e \frac{1}{1 + t}

derivative (2x)/(x^4+1)

d er i v a t i v e \frac{2 x}{x ^{4} + 1}

derivative of x^3-3x^2+3x-3

\frac{d}{d x} (x^{3} - 3 x^{2} + 3 x - 3)

limit as x approaches 0+of (1+4x)^{5/x}

x \to 0 + lim ((1 + 4 x)^{\frac{5}{x}})

implicit (dy)/(dx),y^5=x^7

im pl i c i t \frac{d y}{d x}, y^{5} = x^{7}