(\partial)/(\partial x)(sin(4x^3y-6xy^2))

Lösung

\frac{\partial}{\partial x} (sin (4 x^{3} y - 6 x y^{2}))

cos (4 x^{3} y - 6 x y^{2}) (12 y x^{2} - 6 y^{2})

Schritte zur Lösung

\frac{\partial}{\partial x} (sin (4 x^{3} y - 6 x y^{2}))

Behandle

y

als Konstante

Wende die Kettenregel an:

cos (4 x^{3} y - 6 x y^{2}) \frac{\partial}{\partial x} (4 x^{3} y - 6 x y^{2})

= cos (4 x^{3} y - 6 x y^{2}) \frac{\partial}{\partial x} (4 x^{3} y - 6 x y^{2})

\frac{\partial}{\partial x} (4 x^{3} y - 6 x y^{2}) = 12 y x^{2} - 6 y^{2}

= cos (4 x^{3} y - 6 x y^{2}) (12 y x^{2} - 6 y^{2})

\frac{d}{d x} (2 (e^{3 x} + 3 e^{3 x} x))

s l o p e in t erce pt (7.7) (12.11)

x \to 0 lim (\frac{x ^{3} + 4}{x - 2})

\int x 5 x - 2 d x

\int - 2 sin (x) d x