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Beliebt Rechnen >

derivative of sin(sqrt(1-x))

Lösung

\frac{d}{d x} (sin (1 - x))

Lösung

- \frac{cos ( 1 - x )}{2 1 - x}

Schritte zur Lösung

\frac{d}{d x} (sin (1 - x))

Wende die Kettenregel an:

cos (1 - x) \frac{d}{d x} (1 - x)

= cos (1 - x) \frac{d}{d x} (1 - x)

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

= cos (1 - x) (- \frac{1}{2 1 - x})

Vereinfache

cos (1 - x) (- \frac{1}{2 1 - x}) : - \frac{cos ( 1 - x )}{2 1 - x}

= - \frac{cos ( 1 - x )}{2 1 - x}

Graph

Beliebte Beispiele

inverselaplace 1/((s+5)^2)

in v erse l a pl a ce \frac{1}{( s + 5 ) ^{2}}

derivative of (2x^5+3x^4-x^3+2/(x^2))

\frac{d}{d x} (\frac{2 x ^{5} + 3 x ^{4} - x ^{3} + 2}{x ^{2}})

integral from 0 to 3 of 2x-1

\int_{0}^{3} 2 x - 1 d x

integral of 3/2 x^{1/2}

\int \frac{3}{2} x^{\frac{1}{2}} d x

limit as x approaches 1 of-2sqrt(1-x)+2

x \to 1 lim (- 2 1 - x + 2)