(\partial)/(\partial x)(6x-5y)

Lösung

\frac{\partial}{\partial x} (6 x - 5 y)

6

Schritte zur Lösung

\frac{\partial}{\partial x} (6 x - 5 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} (5 y)

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

\frac{\partial}{\partial x} (5 y) = 0

= 6 - 0

Vereinfache

= 6

n = 1 \sum \infty (- 1)^{n} \frac{n}{n + 2}

\int \frac{289 - x ^{2}}{x} d x

x \to 0 lim ((1 + x)^{\frac{5}{x}})

x^{2} \frac{d y}{d x} - 2 x y = 6 y^{4}, y (1) = \frac{1}{2}

t an g e n t f (x) = x^{2} + 33, at x = 4