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Beliebt Rechnen >

derivative of sqrt(x^2+2^2)

Lösung

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

Lösung

\frac{x}{x ^{2} + 4}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

= \frac{1}{2 x ^{2} + 2 ^{2}} \cdot 2 x

Vereinfache

\frac{1}{2 x ^{2} + 2 ^{2}} \cdot 2 x : \frac{x}{x ^{2} + 4}

= \frac{x}{x ^{2} + 4}

Graph

Beliebte Beispiele

integral of 2sin(θ)cos(θ)

\int 2 sin (θ) cos (θ) d θ

derivative of (x+3/(sqrt(x)))

\frac{d}{d x} (\frac{x + 3}{x})

tangent f(x)=x^3-2x^2

t an g e n t f (x) = x^{3} - 2 x^{2}

limit as x approaches infinity of-5x

x \to \infty lim (- 5 x)

x^4+y^3sqrt(x^5+4)y^'=0,y(0)=0

x^{4} + y^{3} x^{5} + 4 y^{^{'}} = 0, y (0) = 0