(\partial)/(\partial x)(9x^6y^5+6x^8y^4)

Lösung

\frac{\partial}{\partial x} (9 x^{6} y^{5} + 6 x^{8} y^{4})

54 y^{5} x^{5} + 48 y^{4} x^{7}

Schritte zur Lösung

\frac{\partial}{\partial x} (9 x^{6} y^{5} + 6 x^{8} y^{4})

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (9 x^{6} y^{5}) + \frac{\partial}{\partial x} (6 x^{8} y^{4})

\frac{\partial}{\partial x} (9 x^{6} y^{5}) = 54 y^{5} x^{5}

\frac{\partial}{\partial x} (6 x^{8} y^{4}) = 48 y^{4} x^{7}

= 54 y^{5} x^{5} + 48 y^{4} x^{7}

y^{^{'}} + y = e^{6 t}

d er i v a t i v e ln (x + x^{2} + 4)

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

\int \frac{2 x ^{4} + 3 x ^{3} - x}{x ^{3}} d x

t an g e n t f (x) = x + 7, at x = - 6