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Beliebt Rechnen >

derivative of arccot(sqrt(x))

Lösung

\frac{d}{d x} (arccot (x))

Lösung

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

Schritte zur Lösung

\frac{d}{d x} (arccot (x))

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

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

Graph

Beliebte Beispiele

f(x)=x^2sqrt(9-x^2)

f (x) = x^{2} 9 - x^{2}

derivative-1/((1+t)^2)

d er i v a t i v e - \frac{1}{( 1 + t ) ^{2}}

6y^{''}-y^'-y=0

6 y^{^{''}} - y^{^{'}} - y = 0

derivative of 5x^3y^4

\frac{d}{d x} (5 x^{3} y^{4})

((dy)/(dx))^2+2e^x(dy)/(dx)+e^{2x}=0

(\frac{d y}{d x})^{2} + 2 e^{x} \frac{d y}{d x} + e^{2 x} = 0