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Beliebt Rechnen >

derivative f(x)=sqrt(x^2-4)

Lösung

ableitung von

f (x) = x^{2} - 4

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

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

Graph

Beliebte Beispiele

integral of (x^4)/(x^2-4)

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

(\partial)/(\partial x)(2*(y-2)^3*(x-6))

\frac{\partial}{\partial x} (2 \cdot (y - 2)^{3} \cdot (x - 6))

4y^{''}+y=2sec(t/2)

4 y^{^{''}} + y = 2 sec (\frac{t}{2})

(100-x^2)(dy)/(dx)=7y

(100 - x^{2}) \frac{d y}{d x} = 7 y

limit as x approaches-2 of ln(x+2)

x \to - 2 lim (ln (x + 2))