(\partial)/(\partial x)(x^8y^6-x^7y^5)

Lösung

\frac{\partial}{\partial x} (x^{8} y^{6} - x^{7} y^{5})

8 y^{6} x^{7} - 7 y^{5} x^{6}

Schritte zur Lösung

\frac{\partial}{\partial x} (x^{8} y^{6} - x^{7} y^{5})

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (x^{8} y^{6}) - \frac{\partial}{\partial x} (x^{7} y^{5})

\frac{\partial}{\partial x} (x^{8} y^{6}) = 8 y^{6} x^{7}

\frac{\partial}{\partial x} (x^{7} y^{5}) = 7 y^{5} x^{6}

= 8 y^{6} x^{7} - 7 y^{5} x^{6}

x \to \infty lim (7^{- x})

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

\int_{1}^{4} \frac{2}{x ^{2} + 4 x + 4} d x

l a pl a ce t r an s f or m 3 t - e^{- 3 t}

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