(\partial)/(\partial x)(7x^5y^7+3x^8y^6)

Lösung

\frac{\partial}{\partial x} (7 x^{5} y^{7} + 3 x^{8} y^{6})

35 y^{7} x^{4} + 24 y^{6} x^{7}

Schritte zur Lösung

\frac{\partial}{\partial x} (7 x^{5} y^{7} + 3 x^{8} y^{6})

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (7 x^{5} y^{7}) + \frac{\partial}{\partial x} (3 x^{8} y^{6})

\frac{\partial}{\partial x} (7 x^{5} y^{7}) = 35 y^{7} x^{4}

\frac{\partial}{\partial x} (3 x^{8} y^{6}) = 24 y^{6} x^{7}

= 35 y^{7} x^{4} + 24 y^{6} x^{7}

t an g e n t f (x) = 4 (x - \frac{1}{x})^{4}, at x = 2

n = 1 \sum \infty \frac{1}{6 n}

t an g e n t 4 x - x

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

\frac{\partial}{\partial z} (x z + yz)