(\partial)/(\partial y)(2sin(y^2))

Lösung

\frac{\partial}{\partial y} (2 sin (y^{2}))

4 y cos (y^{2})

Schritte zur Lösung

\frac{\partial}{\partial y} (2 sin (y^{2}))

Entferne die Konstante:

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

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

Wende die Kettenregel an:

cos (y^{2}) \frac{\partial}{\partial y} (y^{2})

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

\frac{\partial}{\partial y} (y^{2}) = 2 y

= 2 cos (y^{2}) \cdot 2 y

Vereinfache

= 4 y cos (y^{2})

x \to 5 lim (\frac{sin ( x )}{x})

\int_{0}^{3} (x + 2) x + 1 d x

\int \frac{x ^{14}}{x ^{5} - 1} d x

\frac{\partial}{\partial z} (e^{x yz})

\int (e^{3 x} - 4)^{2} d x