derivative of x(1-2y)

Lösung

\frac{d}{d x} (x (1 - 2 y))

1 - 2 y - 2 x \frac{d y}{d x}

Schritte zur Lösung

\frac{d}{d x} (x (1 - 2 y))

Wende die Produktregel an:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x, g = 1 - 2 y

= \frac{d x}{d x} (1 - 2 y) + \frac{d}{d x} (1 - 2 y) x

\frac{d x}{d x} = 1

\frac{d}{d x} (1 - 2 y) = - 2 \frac{d y}{d x}

= 1 \cdot (1 - 2 y) + (- 2 \frac{d y}{d x}) x

Vereinfache

= 1 - 2 y - 2 x \frac{d y}{d x}

t an g e n t \frac{25 x ^{3}}{3} + 10 x^{2} + 4 x - 7

d er i v a t i v e f (x) = \frac{2}{x + 3}

\frac{\partial}{\partial y} (x^{y} ln (x))

\int_{0}^{34} x^{2} - 17 d x

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