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Beliebt Rechnen >

derivative f(x)=sqrt(17.198^2-x^2)

Lösung

ableitung von

f (x) = 17.19 8^{2} - x^{2}

Lösung

- \frac{x}{295.771204 - x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (17.19 8^{2} - x^{2})

Wende die Kettenregel an:

\frac{1}{2 17.19 8 ^{2} - x ^{2}} \frac{d}{d x} (17.19 8^{2} - x^{2})

= \frac{1}{2 17.19 8 ^{2} - x ^{2}} \frac{d}{d x} (17.19 8^{2} - x^{2})

\frac{d}{d x} (17.19 8^{2} - x^{2}) = - 2 x

= \frac{1}{2 17.19 8 ^{2} - x ^{2}} (- 2 x)

Vereinfache

\frac{1}{2 17.19 8 ^{2} - x ^{2}} (- 2 x) : - \frac{x}{295.771204 - x ^{2}}

= - \frac{x}{295.771204 - x ^{2}}

Graph

Beliebte Beispiele

derivative of e^{xe^y}

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

derivative of-cot(2x)

\frac{d}{d x} (- cot (2 x))

derivative of cos(x^2)

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

(dy)/(dx)= 6/5 (1-y/8)

\frac{d y}{d x} = \frac{6}{5} (1 - \frac{y}{8})

2 y^{^{'}} = 0