derivative of sqrt(4x-x^2)

Lösung

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

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

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

n = 0 \sum \infty (x - 4)^{n}

\frac{d}{d x} (\frac{e ^{2 x}}{x})

t an g e n t f (x) = 4 x + \frac{6}{x}, (5, 21.2)

\int \frac{sin ^{4} ( x )}{x} d x

\int \frac{1 - 2 x}{e ^{2 x}} d x