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Beliebt Rechnen >

derivative sqrt(x^2+7)

Lösung

ableitung von

x^{2} + 7

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

= \frac{1}{2 x ^{2} + 7} \cdot 2 x

Vereinfache

\frac{1}{2 x ^{2} + 7} \cdot 2 x : \frac{x}{x ^{2} + 7}

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

Graph

Beliebte Beispiele

integral of x^2sqrt(2x-1)

\int x^{2} 2 x - 1 d x

(dx)/(dt)+t^7x^9+x/t =0

\frac{d x}{d t} + t^{7} x^{9} + \frac{x}{t} = 0

(d^2)/(dx^2)(cos(sin(3θ)))

\frac{d ^{2}}{d x ^{2}} (cos (sin (3 θ)))

tangent f(x)=-(24)/((4x+1)),\at x=-1

t an g e n t f (x) = - \frac{24}{( 4 x + 1 )}, at x = - 1

derivative (6e^w)/(7w)

d er i v a t i v e \frac{6 e ^{w}}{7 w}