derivative of 2sqrt(4-x^2)

Lösung

\frac{d}{d x} (2 4 - x^{2})

- \frac{2 x}{4 - x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (2 4 - x^{2})

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 2 \frac{d}{d x} (4 - x^{2})

Wende die Kettenregel an:

\frac{1}{2 4 - x ^{2}} \frac{d}{d x} (4 - x^{2})

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

\frac{d}{d x} (4 - x^{2}) = - 2 x

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

Vereinfache

2 \cdot \frac{1}{2 4 - x ^{2}} (- 2 x) : - \frac{2 x}{4 - x ^{2}}

= - \frac{2 x}{4 - x ^{2}}

im pl i c i t \frac{d y}{d x}, x + y + x y = 21

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

\frac{d}{d x} (cos (7 π x))

\int sin^{\frac{1}{2}} (x) cos^{3} (x) d x

n \to \infty lim (i = 1 \sum n \frac{i ^{3}}{n ^{4}} + \frac{1}{n})