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Beliebt Rechnen >

derivative of (1+sqrt(x)^2)

Lösung

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

Lösung

\frac{1 + x}{x}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

= \frac{1 + x}{x}

Graph

Beliebte Beispiele

(\partial)/(\partial x)(txe^{(x^2)/(2t)})

\frac{\partial}{\partial x} (t x e^{\frac{x ^{2}}{2 t}})

fläche x^4-9x^2,x^2-9

a re a x^{4} - 9 x^{2}, x^{2} - 9

derivative 2csc(x)

d er i v a t i v e 2 csc (x)

(\partial)/(\partial x)(1/2 ln(x^2+y^2))

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

tangent y=x^4+4e^x

t an g e n t y = x^{4} + 4 e^{x}