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Beliebt Rechnen >

derivative of arccos(x^2)

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

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

Graph

Beliebte Beispiele

integral from 0 to 1 of (2x)/(e^{2x)}

\int_{0}^{1} \frac{2 x}{e ^{2 x}} d x

tangent y=2x^3+3x^2-12x+7

t an g e n t y = 2 x^{3} + 3 x^{2} - 12 x + 7

derivative of e^{2x}(2x+1)

\frac{d}{d x} (e^{2 x} (2 x + 1))

limit as h approaches 0 of (sqrt(49+h)-7)/h

h \to 0 lim (\frac{49 + h - 7}{h})

laplacetransform 2*sin(3t)

l a pl a ce t r an s f or m 2 \cdot sin (3 t)