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Beliebt Rechnen >

derivative sqrt(5x+x^2)

Lösung

ableitung von

5 x + x^{2}

Lösung

\frac{5 + 2 x}{2 5 x + x ^{2}}

Schritte zur Lösung

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

Wende die Kettenregel an:

\frac{1}{2 5 x + x ^{2}} \frac{d}{d x} (5 x + x^{2})

= \frac{1}{2 5 x + x ^{2}} \frac{d}{d x} (5 x + x^{2})

\frac{d}{d x} (5 x + x^{2}) = 5 + 2 x

= \frac{1}{2 5 x + x ^{2}} (5 + 2 x)

Vereinfache

\frac{1}{2 5 x + x ^{2}} (5 + 2 x) : \frac{5 + 2 x}{2 5 x + x ^{2}}

= \frac{5 + 2 x}{2 5 x + x ^{2}}

Graph

Beliebte Beispiele

\frac{d y}{d t} = 3 t^{2}

(\partial)/(\partial x)(x^7y^6+4x^6y)

\frac{\partial}{\partial x} (x^{7} y^{6} + 4 x^{6} y)

integral of 8x^{1/2}

\int 8 x^{\frac{1}{2}} d x

limit as x approaches 2 of e^{1/0}

x \to 2 lim (e^{\frac{1}{0}})

tangent y=3tan(x),\at x= pi/6

t an g e n t y = 3 tan (x), at x = \frac{π}{6}