(\partial)/(\partial x)(sqrt(14-x^2-4xy))

Lösung

\frac{\partial}{\partial x} (14 - x^{2} - 4 x y)

- \frac{x + 2 y}{- x ^{2} - 4 x y + 14}

Schritte zur Lösung

\frac{\partial}{\partial x} (14 - x^{2} - 4 x y)

Behandle

y

als Konstante

Wende die Kettenregel an:

\frac{1}{2 14 - x ^{2} - 4 x y} \frac{\partial}{\partial x} (14 - x^{2} - 4 x y)

= \frac{1}{2 14 - x ^{2} - 4 x y} \frac{\partial}{\partial x} (14 - x^{2} - 4 x y)

\frac{\partial}{\partial x} (14 - x^{2} - 4 x y) = - 2 x - 4 y

= \frac{1}{2 14 - x ^{2} - 4 x y} (- 2 x - 4 y)

Vereinfache

\frac{1}{2 14 - x ^{2} - 4 x y} (- 2 x - 4 y) : - \frac{x + 2 y}{- x ^{2} - 4 x y + 14}

= - \frac{x + 2 y}{- x ^{2} - 4 x y + 14}

\int x^{2} 8 x - 7 d x

\int_{1}^{5} \frac{x}{e ^{x}} d x

t an g e n t x^{2} - 6 x

f (x) = \frac{3}{x - 2}

l a pl a ce t r an s f or m - 4 cos (3 t)