(\partial)/(\partial x)(8-x^2-y^2)

Lösung

\frac{\partial}{\partial x} (8 - x^{2} - y^{2})

- 2 x

Schritte zur Lösung

\frac{\partial}{\partial x} (8 - x^{2} - y^{2})

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (8) - \frac{\partial}{\partial x} (x^{2}) - \frac{\partial}{\partial x} (y^{2})

\frac{\partial}{\partial x} (8) = 0

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

\frac{\partial}{\partial x} (y^{2}) = 0

= 0 - 2 x - 0

Vereinfache

= - 2 x

24 y^{^{''}} - 2 y^{^{'}} - 15 y = 0

\frac{d}{d t} (cos^{2} (e^{c o s^{2} (t)}))

x \to - 2 lim (5 x^{2})

\frac{d y}{d x} = \frac{cos ( 16 x )}{e ^{16 y}}

\frac{d}{d x} (tan (x) sec^{2} (x))