(\partial)/(\partial x)(x^6y^9-x^5y^8)

Lösung

\frac{\partial}{\partial x} (x^{6} y^{9} - x^{5} y^{8})

6 y^{9} x^{5} - 5 y^{8} x^{4}

Schritte zur Lösung

\frac{\partial}{\partial x} (x^{6} y^{9} - x^{5} y^{8})

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (x^{6} y^{9}) - \frac{\partial}{\partial x} (x^{5} y^{8})

\frac{\partial}{\partial x} (x^{6} y^{9}) = 6 y^{9} x^{5}

\frac{\partial}{\partial x} (x^{5} y^{8}) = 5 y^{8} x^{4}

= 6 y^{9} x^{5} - 5 y^{8} x^{4}

\frac{\partial}{\partial x} (x - \frac{1}{x} e^{\frac{y}{x}})

\frac{d}{d s} (\frac{2}{s + s ^{2} + 4})

\frac{\partial}{\partial x} (6 x y - 12 x)

(2 x + 4) d x + (3 y - 1) d y = 0

x \to 0 lim (\frac{1}{x + 3})