(\partial)/(\partial x)(6x+4y)

Lösung

\frac{\partial}{\partial x} (6 x + 4 y)

6

Schritte zur Lösung

\frac{\partial}{\partial x} (6 x + 4 y)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (6 x) + \frac{\partial}{\partial x} (4 y)

\frac{\partial}{\partial x} (6 x) = 6

\frac{\partial}{\partial x} (4 y) = 0

= 6 + 0

Vereinfache

= 6

\int (x^{4})^{\frac{1}{2}} d x

h \to \frac{π}{2} lim (\frac{( 1 - cos ( 3 h ) )}{h})

\int \frac{z ^{3}}{3 z ^{2} + 1} d z

\int x csc (x^{2}) d x

y^{^{''}} - 3 y^{^{'}} + 2 y = 2 e^{3 t}, y (0) = 0, y^{^{'}} (0) = 4