(\partial)/(\partial x)(64-8x^2-y^2)

Lösung

\frac{\partial}{\partial x} (64 - 8 x^{2} - y^{2})

- 16 x

Schritte zur Lösung

\frac{\partial}{\partial x} (64 - 8 x^{2} - y^{2})

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (64) - \frac{\partial}{\partial x} (8 x^{2}) - \frac{\partial}{\partial x} (y^{2})

\frac{\partial}{\partial x} (64) = 0

\frac{\partial}{\partial x} (8 x^{2}) = 16 x

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

= 0 - 16 x - 0

Vereinfache

= - 16 x

x \to 1 + lim (\frac{1 - x}{x ( x - 1 )})

\frac{d}{d x} (cos^{2} (3 π x))

\int sec (x) \frac{1}{x} d x

d er i v a t i v e (2 x + 1)^{3} + \frac{1}{( 2 x + 1 ) ^{3}}

\frac{d}{d x} (e^{x - 1} - 1)