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

Lösung

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

30 y^{6} x^{4} + 56 y^{8} x^{6}

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial x} (6 x^{5} y^{6}) = 30 y^{6} x^{4}

\frac{\partial}{\partial x} (8 x^{7} y^{8}) = 56 y^{8} x^{6}

= 30 y^{6} x^{4} + 56 y^{8} x^{6}

x \to 0 lim (\frac{cos ( 2 x )}{sin ( 2 x )})

f (x) = - 2 cos (2 x)

n = 1 \sum \infty n e^{- 2 n}

\int 6 x^{2} 3 x d x

in v erse l a pl a ce \frac{s ^{2} + 12}{s ^{4} - 16}