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Beliebt Rechnen >

derivative of sqrt(x^2-4)+sqrt(4-y^2)

Lösung

\frac{d}{d x} (x^{2} - 4 + 4 - y^{2})

Lösung

\frac{x}{x ^{2} - 4} - \frac{y \frac{d y}{d x}}{4 - y ^{2}}

Schritte zur Lösung

\frac{d}{d x} (x^{2} - 4 + 4 - y^{2})

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (x^{2} - 4) = \frac{x}{x ^{2} - 4}

\frac{d}{d x} (4 - y^{2}) = - \frac{y \frac{d y}{d x}}{4 - y ^{2}}

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

Beliebte Beispiele

integral of x^2(x^3+1)^4

\int x^{2} (x^{3} + 1)^{4} d x

(\partial)/(\partial x)(x^2+y^2+48-xy-6x)

\frac{\partial}{\partial x} (x^{2} + y^{2} + 48 - x y - 6 x)

derivative (cos(x))/(x^7)

d er i v a t i v e \frac{cos ( x )}{x ^{7}}

tangent f(x)=x^2-3x

t an g e n t f (x) = x^{2} - 3 x

integral of 21te^t

\int 21 t e^{t} d t