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

Lösung

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

48 y^{7} x^{5} - 35 y^{6} x^{4}

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial x} (8 x^{6} y^{7}) = 48 y^{7} x^{5}

\frac{\partial}{\partial x} (7 x^{5} y^{6}) = 35 y^{6} x^{4}

= 48 y^{7} x^{5} - 35 y^{6} x^{4}

\int 6 csc^{2} (x) d x

d er i v a t i v e \frac{1}{3} x^{3}

a re a y = - x^{2} + 3 x + 1, y = - x + 1

x \to 0 lim (- 22)

\int \frac{( x e ^{2 x} )}{( 2 x + 1 ) ^{2}} d x