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Beliebt Rechnen >

derivative of sqrt(3x+x^2)

Lösung

\frac{d}{d x} (3 x + x^{2})

Lösung

\frac{3 + 2 x}{2 3 x + x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (3 x + x^{2})

Wende die Kettenregel an:

\frac{1}{2 3 x + x ^{2}} \frac{d}{d x} (3 x + x^{2})

= \frac{1}{2 3 x + x ^{2}} \frac{d}{d x} (3 x + x^{2})

\frac{d}{d x} (3 x + x^{2}) = 3 + 2 x

= \frac{1}{2 3 x + x ^{2}} (3 + 2 x)

Vereinfache

\frac{1}{2 3 x + x ^{2}} (3 + 2 x) : \frac{3 + 2 x}{2 3 x + x ^{2}}

= \frac{3 + 2 x}{2 3 x + x ^{2}}

Graph

Beliebte Beispiele

(\partial)/(\partial x)(2x(1-x^2y^2))

\frac{\partial}{\partial x} (2 x (1 - x^{2} y^{2}))

derivative of 4x^3+3x^2+2x

\frac{d}{d x} (4 x^{3} + 3 x^{2} + 2 x)

derivative of sqrt(x^3-100x+1)

\frac{d}{d x} (x^{3} - 100 x + 1)

(d^2)/(dx^2)(e^{7x-4})

\frac{d ^{2}}{d x ^{2}} (e^{7 x - 4})

integral of arctan(2t)

\int arctan (2 t) d t