(\partial)/(\partial x)(3x+8y+2)

Lösung

\frac{\partial}{\partial x} (3 x + 8 y + 2)

3

Schritte zur Lösung

\frac{\partial}{\partial x} (3 x + 8 y + 2)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (3 x) + \frac{\partial}{\partial x} (8 y) + \frac{\partial}{\partial x} (2)

\frac{\partial}{\partial x} (3 x) = 3

\frac{\partial}{\partial x} (8 y) = 0

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

= 3 + 0 + 0

Vereinfache

= 3

\frac{\partial}{\partial x} (3 x^{2} - 4 y^{3})

\int_{0}^{\frac{π}{2}} cos (3 x) d x

\int (2 e^{x} + 8 x^{3} + 6 x) d x

\int \frac{4}{15 sin ( x ) - 8 cos ( x )} d x

d er i v a t i v e y = 4 - x^{2}