(\partial)/(\partial y)(x^2+3y^2)

Lösung

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

6 y

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial y} (x^{2}) = 0

\frac{\partial}{\partial y} (3 y^{2}) = 6 y

= 0 + 6 y

Vereinfache

= 6 y

t an g e n t f (x) = sin (sin (x)), 0, at x = π

\int \frac{( x ^{2} )}{x ^{2} - 1} d x

\frac{\partial}{\partial x} (2 x^{3} + x y^{2} + 5 x^{2} + y^{2})

l a pl a ce t r an s f or m sin (4 t + 5 π)

\int \frac{x ^{2}}{2} y + \frac{x}{2} y^{2} cos (z) d z