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Beliebt Rechnen >

derivative of sqrt(7-x^2)

Lösung

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

Lösung

- \frac{x}{7 - x ^{2}}

Schritte zur Lösung

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

Wende die Kettenregel an:

\frac{1}{2 7 - x ^{2}} \frac{d}{d x} (7 - x^{2})

= \frac{1}{2 7 - x ^{2}} \frac{d}{d x} (7 - x^{2})

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

= \frac{1}{2 7 - x ^{2}} (- 2 x)

Vereinfache

\frac{1}{2 7 - x ^{2}} (- 2 x) : - \frac{x}{7 - x ^{2}}

= - \frac{x}{7 - x ^{2}}

Graph

Beliebte Beispiele

limit as x approaches pi of-6sin(x)+4x

x \to π lim (- 6 sin (x) + 4 x)

t((dy)/(dt))+27y= 1/t

t (\frac{d y}{d t}) + 27 y = \frac{1}{t}

(\partial)/(\partial θ)(tan(θ))

\frac{\partial}{\partial θ} (tan (θ))

taylor f(x)=e^x

t a y l or f (x) = e^{x}

(dq)/(dt)+3*q=0,q(0)=9

\frac{d q}{d t} + 3 \cdot q = 0, q (0) = 9