(\partial)/(\partial y)(cos^2(3x-y^2))

Lösung

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

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

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Kettenregel an:

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

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

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

= 2 cos (3 x - y^{2}) \cdot 2 y sin (3 x - y^{2})

Vereinfache

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

\frac{\partial}{\partial y} (4 x^{0.5} + 2 y^{0.25})

\frac{\partial}{\partial y} (ln (x yz))

\int 7^{x^{2}} d x

x \to \infty lim (\frac{1}{x} + 1)

t an g e n t y^{3} x + y^{2} x^{2} = 6, (2, 1)