(\partial)/(\partial x)(4+2x-3y^2)

Lösung

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

2

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

\frac{\partial}{\partial x} (3 y^{2}) = 0

= 0 + 2 - 0

Vereinfache

= 2

\int 3 \cdot x d x

\frac{\partial}{\partial p} (pq)

\frac{\partial}{\partial x} (3 + x ln (x y - 5))

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

\int \frac{t}{t ^{4} + 2} d t