(\partial)/(\partial x)(3/x-1-y)

Lösung

\frac{\partial}{\partial x} (\frac{3}{x} - 1 - y)

- \frac{3}{x ^{2}}

Schritte zur Lösung

\frac{\partial}{\partial x} (\frac{3}{x} - 1 - y)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (\frac{3}{x}) - \frac{\partial}{\partial x} (1) - \frac{\partial}{\partial x} (y)

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

\frac{\partial}{\partial x} (1) = 0

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

= - \frac{3}{x ^{2}} - 0 - 0

Vereinfache

= - \frac{3}{x ^{2}}

a re a 4 x + 8, x^{2} + 19 x + 62, [- 9, - 6]

\frac{d}{d x} ((8 x - 2 x^{2}) cos (y))

d er i v a t i v e y = (x^{3} + 8) e^{x}

\int (x^{3} + 4)^{4} (3 x^{2}) d x

\frac{d}{d x} (x x)