(\partial)/(\partial x)(x^7-6xy-3y^2)

Lösung

\frac{\partial}{\partial x} (x^{7} - 6 x y - 3 y^{2})

7 x^{6} - 6 y

Schritte zur Lösung

\frac{\partial}{\partial x} (x^{7} - 6 x y - 3 y^{2})

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (x^{7}) - \frac{\partial}{\partial x} (6 x y) - \frac{\partial}{\partial x} (3 y^{2})

\frac{\partial}{\partial x} (x^{7}) = 7 x^{6}

\frac{\partial}{\partial x} (6 x y) = 6 y

\frac{\partial}{\partial x} (3 y^{2}) = 0

= 7 x^{6} - 6 y - 0

Vereinfache

= 7 x^{6} - 6 y

\int (sin (\frac{x}{2}) + cos (\frac{x}{2}))^{2} d x

in v erse l a pl a ce \frac{2 ( s + 1 )}{s ( s ^{2} + s + 2 )}

n = 1 \sum \infty \frac{4}{( n + 1 ) !}

d er i v a t i v e \frac{5}{4} x^{\frac{4}{3}}

d er i v a t i v e f (x) = ln (x - 2)