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Beliebt Rechnen >

derivative 2+9sin(x^2)

Lösung

ableitung von

2 + 9 sin (x^{2})

Lösung

18 x cos (x^{2})

Schritte zur Lösung

\frac{d}{d x} (2 + 9 sin (x^{2}))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (2) + \frac{d}{d x} (9 sin (x^{2}))

\frac{d}{d x} (2) = 0

\frac{d}{d x} (9 sin (x^{2})) = 18 x cos (x^{2})

= 0 + 18 x cos (x^{2})

Vereinfache

= 18 x cos (x^{2})

Graph

Beliebte Beispiele

integral of sqrt(3-2x+x^2)

\int 3 - 2 x + x^{2} d x

inverselaplace {(((s+1)^3)/4)^2}

in v erse l a pl a ce ⎩ ⎨ ⎧ (\frac{( s + 1 ) ^{3}}{4})^{2} ⎭ ⎬ ⎫

derivative of cx^3

\frac{d}{d x} (c x^{3})

tangent f(x)=x^4+2e^x,\at x=0

t an g e n t f (x) = x^{4} + 2 e^{x}, at x = 0

limit as x approaches 1 of x^2+x+1

x \to 1 lim (x^{2} + x + 1)