(\partial)/(\partial y)(cos(x^2)sin(yz))

Lösung

\frac{\partial}{\partial y} (cos (x^{2}) sin (yz))

cos (x^{2}) cos (yz) z

Schritte zur Lösung

\frac{\partial}{\partial y} (cos (x^{2}) sin (yz))

Behandle

x, z

als Konstanten

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= cos (x^{2}) \frac{\partial}{\partial y} (sin (yz))

Wende die Kettenregel an:

cos (yz) \frac{\partial}{\partial y} (yz)

= cos (yz) \frac{\partial}{\partial y} (yz)

\frac{\partial}{\partial y} (yz) = z

= cos (x^{2}) cos (yz) z

\frac{d y}{d x} = \frac{y ^{2} + 4 x x ^{2} + y ^{2}}{x y}

f (x) = \frac{1}{x ^{5}}

d er i v a t i v e f (x) = (x^{3} - 3 x) (2 x^{2} + 3 x + 5)

\int 2 sin (θ) - sec^{2} (θ) d θ

x \to + 0 lim (\frac{x}{arctan ( x )})