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

Lösung

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

- 6 x

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= 0 - 6 x

Vereinfache

= - 6 x

t an g e n t f (x) = x^{3} - 3 x + 2 at (2.4)

a re a x = y, x = \frac{y}{2}

x \to \infty lim (2 x^{2} - 3)

a re a x^{2} - 4, x = - 4, x = 3, y = 0

\int_{0}^{1} (3 x^{2} - 4 x + 1) d x