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Beliebt Rechnen >

derivative of 4x+2x^2sin(1/x)

Lösung

\frac{d}{d x} (4 x + 2 x^{2} sin (\frac{1}{x}))

Lösung

4 + 2 (2 x sin (\frac{1}{x}) - cos (\frac{1}{x}))

Schritte zur Lösung

\frac{d}{d x} (4 x + 2 x^{2} sin (\frac{1}{x}))

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (4 x) + \frac{d}{d x} (2 x^{2} sin (\frac{1}{x}))

\frac{d}{d x} (4 x) = 4

\frac{d}{d x} (2 x^{2} sin (\frac{1}{x})) = 2 (2 x sin (\frac{1}{x}) - cos (\frac{1}{x}))

= 4 + 2 (2 x sin (\frac{1}{x}) - cos (\frac{1}{x}))

Graph

Beliebte Beispiele

integral of sin(x-nx)

\int sin (x - n x) d x

derivative of (sqrt(5x-1)+2^6)

\frac{d}{d x} ((5 x - 1 + 2)^{6})

integral from-2 to 3 of x^2+4

\int_{- 2}^{3} x^{2} + 4 d x

integral of (e 1/x)/(x^2)

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

y^{^{'}} + 2 x y = 0