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Rang	Thema	Aufgabe	Formatierte Aufgabe
47701	Ermitteln, wo ansteigend/abfallend mittels Ableitungen	(4t)/(t^2+1)	$\frac{4 t}{t^{2} + 1}$
47702	Ermitteln, wo ansteigend/abfallend mittels Ableitungen	(5x^2)/(x^2-4)	$\frac{5 x^{2}}{x^{2} - 4}$
47703	Ermitteln, wo ansteigend/abfallend mittels Ableitungen	(x^2)/(x^2-36)	$\frac{x^{2}}{x^{2} - 36}$
47704	Ermitteln, wo ansteigend/abfallend mittels Ableitungen	(x^2-11)/(x-6)	$\frac{x^{2} - 11}{x - 6}$
47705	Ermitteln, wo ansteigend/abfallend mittels Ableitungen	(-x^2-16)/x	$\frac{- x^{2} - 16}{x}$
47706	Ermitteln, wo ansteigend/abfallend mittels Ableitungen	(x-2)e^x	$(x - 2) e^{x}$
47707	Ermitteln, wo ansteigend/abfallend mittels Ableitungen	2.32x-(x^2)/24000-3500	$2.32 x - \frac{x^{2}}{24000} - 3500$
47708	Ermitteln, wo ansteigend/abfallend mittels Ableitungen	2.95x+426.52	$2.95 x + 426.52$
47709	Ermitteln, wo ansteigend/abfallend mittels Ableitungen	2x^3-9x^2-168x	$2 x^{3} - 9 x^{2} - 168 x$
47710	Ermitteln, wo ansteigend/abfallend mittels Ableitungen	3x^(2/17)-x^(3/17)	$3 x^{\frac{2}{17}} - x^{\frac{3}{17}}$
47711	Ermitteln, wo ansteigend/abfallend mittels Ableitungen	3x^3-36x-3	$3 x^{3} - 36 x - 3$
47712	Ermitteln, wo ansteigend/abfallend mittels Ableitungen	5-3x	$5 - 3 x$
47713	Ermitteln, wo ansteigend/abfallend mittels Ableitungen	6cos(x)^4	$6 \cos^{4} (x)$
47714	Ermitteln, wo ansteigend/abfallend mittels Ableitungen	7+6x-x^2	$7 + 6 x - x^{2}$
47715	Ermitteln, wo ansteigend/abfallend mittels Ableitungen	8x^4+4x^3	$8 x^{4} + 4 x^{3}$
47716	Ermitteln, wo ansteigend/abfallend mittels Ableitungen	9cos(x)^4	$9 \cos^{4} (x)$
47717	Ermitteln, wo ansteigend/abfallend mittels Ableitungen	Logarithmische Basis 5 von 1+x^2	$\log_{5} (1 + x^{2})$
47718	Ermitteln, wo ansteigend/abfallend mittels Ableitungen	X^3-21X^2	$X^{3} - 21 X^{2}$
47719	Ermitteln, wo ansteigend/abfallend mittels Ableitungen	x^3-75x+4	$x^{3} - 75 x + 4$
47720	Ermitteln, wo ansteigend/abfallend mittels Ableitungen	x^4-50x^2+4	$x^{4} - 50 x^{2} + 4$
47721	Ermitteln, wo ansteigend/abfallend mittels Ableitungen	x^5-15x^3	$x^{5} - 15 x^{3}$
47722	Löse durch Anwendung der Quadratformel	2y^2-y-1>0	$2 y^{2} - y - 1 > 0$
47723	Löse durch Anwendung der Quadratformel	12x^2-108x+170=0	$12 x^{2} - 108 x + 170 = 0$
47724	x=7에서의 접선 구하기	y=1/(x-2) , x=7	$y = \frac{1}{x - 2}$ , $x = 7$
47725	(1,6)에서의 접선 구하기	y=x^4+6x^2-x , (1,6)	$y = x^{4} + 6 x^{2} - x$ , $(1, 6)$
47726	Ermittle die Exzentrizität	4x^2+25y^2+24x-50y-39=0	$4 x^{2} + 25 y^{2} + 24 x - 50 y - 39 = 0$
47727	a=0에서 선형화 구하기	f(x)=e^x , a=0	$f (x) = e^{x}$ , $a = 0$
47728	(0,6)에서의 접선 구하기	y=6e^xcos(x) , (0,6)	$y = 6 e^{x} \cos (x)$ , $(0, 6)$
47729	(p/2,3p)에서의 접선 구하기	y=6xsin(x) , (pi/2,3pi)	$y = 6 x \sin (x)$ , $(\frac{π}{2}, 3 π)$
47730	x=2에서의 접선 구하기	x^4-13x^2+36 ; x=2	$x^{4} - 13 x^{2} + 36$ ; $x = 2$
47731	(9,54)에서의 접선 구하기	y=18 Quadratwurzel von x , (9,54)	$y = 18 \sqrt{x}$ , $(9, 54)$
47732	(p/2,8p)에서의 접선 구하기	y=16xsin(x) , (pi/2,8pi)	$y = 16 x \sin (x)$ , $(\frac{π}{2}, 8 π)$
47733	Bestimme, ob ungerade, gerade oder weder noch	f(x)=1+3x^2-x^4	$f (x) = 1 + 3 x^{2} - x^{4}$
47734	(p/3,-1)에서의 접선 구하기	y=sec(x)-6cos(x) , (pi/3,-1)	$y = \sec (x) - 6 \cos (x)$ , $(\frac{π}{3}, - 1)$
47735	(0,7)에서의 접선 구하기	y=7e^x+x , (0,7)	$y = 7 e^{x} + x$ , $(0, 7)$
47736	(4,5)에서의 접선 구하기	y=x^3-16x+5 , (4,5)	$y = x^{3} - 16 x + 5$ , $(4, 5)$
47737	(2,p/12)에서의 접선 구하기	y=1/3arctan(1/2x) , (2,pi/12)	$y = \frac{1}{3} \arctan (\frac{1}{2} x)$ , $(2, \frac{π}{12})$
47738	(0,3)에서의 접선 구하기	y=3e^x+x , (0,3)	$y = 3 e^{x} + x$ , $(0, 3)$
47739	x=4에서의 접선 구하기	2/( Quadratwurzel von x) , x=4	$\frac{2}{\sqrt{x}}$ , $x = 4$
47740	(0,9)에서의 접선 구하기	y=(e^(3x)-4)^2 , (0,9)	$y = {(e^{3 x} - 4)}^{2}$ , $(0, 9)$
47741	(0,4)에서의 접선 구하기	y=4e^x+x , (0,4)	$y = 4 e^{x} + x$ , $(0, 4)$
47742	x=16에서의 접선 구하기	y=3x^(1/2)+x^(3/2) ; x=16	$y = 3 x^{\frac{1}{2}} + x^{\frac{3}{2}}$ ; $x = 16$
47743	(0,0.25)에서의 접선 구하기	x^2+y^2=(2x^2+4y^2-x)^2 , (0,0.25)	$x^{2} + y^{2} = {(2 x^{2} + 4 y^{2} - x)}^{2}$ , $(0, 0.25)$
47744	(0,1)에서의 접선 구하기	y=(1+4x)^12 , (0,1)	$y = {(1 + 4 x)}^{12}$ , $(0, 1)$
47745	(3,5)에서의 접선 구하기	x^2+2xy-y^2+x=17 , (3,5)	$x^{2} + 2 x y - y^{2} + x = 17$ , $(3, 5)$
47746	(27,3)에서의 접선 구하기	x^2+9y^2=81 , (27,3)	$x^{2} + 9 y^{2} = 81$ , $(27, 3)$
47747	(-4,-2v(3))에서의 접선 구하기	x^2y^2-9x^2-4y^2=0 , (-4,-2 Quadratwurzel von 3)	$x^{2} y^{2} - 9 x^{2} - 4 y^{2} = 0$ , $(- 4, - 2 \sqrt{3})$
47748	Wandle in Wurzelform um	(5pi)/6	$\frac{5 π}{6}$
47749	Wandle in Wurzelform um	t^(3/2)	$t^{\frac{3}{2}}$
47750	Wandle in Wurzelform um	2^(9/2)	$2^{\frac{9}{2}}$
47751	Bestimme den Quadranten des Winkels	-25 Grad	$- 25 °$
47752	Ermittle die Stammfunktion	(dy)/(dx)=-1/3x^3	$\frac{d y}{d x} = - \frac{1}{3} x^{3}$
47753	Ermittle die Stammfunktion	(dy)/(dx)=xy^3	$\frac{d y}{d x} = x y^{3}$
47754	Ermittle die Stammfunktion	(dy)/(dx)=2xy	$\frac{d y}{d x} = 2 x y$
47755	Dividiere unter Anwendung der schriftlichen Polynomdivision	(x^3-3x^2+4x-9)/(x^2+3)	$\frac{x^{3} - 3 x^{2} + 4 x - 9}{x^{2} + 3}$
47756	Mache den Nenner rational	9/(2- Quadratwurzel von 7)	$\frac{9}{2 - \sqrt{7}}$
47757	Eliminiere den Parameter	x=t^2 , y=t^3	$x = t^{2}$ , $y = t^{3}$
47758	Eliminiere den Parameter	x=sin(t) , y=cos(t)	$x = \sin (t)$ , $y = \cos (t)$
47759	Bestimme die Symmetrie	y^2=x+121	$y^{2} = x + 121$
47760	Bestimme die Symmetrie	x=y^2-4	$x = y^{2} - 4$
47761	Ermittle drei Lösungstupel	x-y=8	$x - y = 8$
47762	Ermittle, wo steigend/fallend	f(x)=2x^2+8x+7	$f (x) = 2 x^{2} + 8 x + 7$
47763	Ermittle, wo steigend/fallend	f(x)=sin(x)-8	$f (x) = \sin (x) - 8$
47764	Ermittle, wo steigend/fallend	f(x)=sin(x)+5	$f (x) = \sin (x) + 5$
47765	Ermittle, wo steigend/fallend	f(x)=-x^2-4x	$f (x) = - x^{2} - 4 x$
47766	Ermittle, wo steigend/fallend	g(x)=(4x)/((x+4)^2)	$g (x) = \frac{4 x}{{(x + 4)}^{2}}$
47767	몫의 미분 법칙을 이용하여 미분 구하기 - d/d@VAR	h(w)=(3w^4-w)/w	$h (w) = \frac{3 w^{4} - w}{w}$
47768	몫의 미분 법칙을 이용하여 미분 구하기 - d/dy	((y-2)^3)/((y^2+4y)^9)	$\frac{{(y - 2)}^{3}}{{(y^{2} + 4 y)}^{9}}$
47769	몫의 미분 법칙을 이용하여 미분 구하기 - d/dd	(d(24x^3y^2))/(dx)	$\frac{d (24 x^{3} y^{2})}{d x}$
47770	몫의 미분 법칙을 이용하여 미분 구하기 - d/dy	(d(24x^3y^2))/(dx)	$\frac{d (24 x^{3} y^{2})}{d x}$
47771	몫의 미분 법칙을 이용하여 미분 구하기 - d/dw	(w^6-w)/w	$\frac{w^{6} - w}{w}$
47772	몫의 미분 법칙을 이용하여 미분 구하기 - d/dv	y=(2-v^2)/(2+v^2)	$y = \frac{2 - v^{2}}{2 + v^{2}}$
47773	몫의 미분 법칙을 이용하여 미분 구하기 - d/dy	-(12x)/y	$- \frac{12 x}{y}$
47774	몫의 미분 법칙을 이용하여 미분 구하기 - d/dy	(-x)/(4y)	$\frac{- x}{4 y}$
47775	몫의 미분 법칙을 이용하여 미분 구하기 - d/dy	(6x^5)/(5y^4)	$\frac{6 x^{5}}{5 y^{4}}$
47776	몫의 미분 법칙을 이용하여 미분 구하기 - d/dx	(6x^5)/(5y^4)	$\frac{6 x^{5}}{5 y^{4}}$
47777	몫의 미분 법칙을 이용하여 미분 구하기 - d/dx	y=(x^2-9x+5)/(x^2+7)	$y = \frac{x^{2} - 9 x + 5}{x^{2} + 7}$
47778	몫의 미분 법칙을 이용하여 미분 구하기 - d/dx	(9x^8)/(8y^7)	$\frac{9 x^{8}}{8 y^{7}}$
47779	Convert to Rectangular	x=t^2 , y=t^5	$x = t^{2}$ , $y = t^{5}$
47780	Bestimme den Differenzenquotienten	f(x)=-2x+6	$f (x) = - 2 x + 6$
47781	Bestimme den Differenzenquotienten	f(x)=7x-8	$f (x) = 7 x - 8$
47782	Wandle in die logarithmische Form um	5^x=9	$5^{x} = 9$
47783	Finde die Asymptoten	(x^3)/(x^2-36)	$\frac{x^{3}}{x^{2} - 36}$
47784	Finde die Asymptoten	(x^2+16)/(x^2-16)	$\frac{x^{2} + 16}{x^{2} - 16}$
47785	Finde die Asymptoten	5/(x^2-9)	$\frac{5}{x^{2} - 9}$
47786	Finde die Asymptoten	(x+1)/(x^2-4x-5)	$\frac{x + 1}{x^{2} - 4 x - 5}$
47787	Finde die Asymptoten	(2x-1)/x	$\frac{2 x - 1}{x}$
47788	Finde die Asymptoten	(x^2-x)/(x^2-8x+7)	$\frac{x^{2} - x}{x^{2} - 8 x + 7}$
47789	Finde die Asymptoten	(x+3)/(x^2+5x+6)	$\frac{x + 3}{x^{2} + 5 x + 6}$
47790	Finde die Asymptoten	(2e^x)/(e^x-5)	$\frac{2 e^{x}}{e^{x} - 5}$
47791	Finde die Asymptoten	(4x^2)/(x^3-1)	$\frac{4 x^{2}}{x^{3} - 1}$
47792	Finde die Asymptoten	(3x^2+2x-5)/(x^2+8x-20)	$\frac{3 x^{2} + 2 x - 5}{x^{2} + 8 x - 20}$
47793	Finde die Asymptoten	x+2sin(x)	$x + 2 \sin (x)$
47794	Finde die Asymptoten	(x^2-3x)/(x^2-9)	$\frac{(x^{2} - 3 x)}{x^{2} - 9}$
47795	Finde die Asymptoten	(16x)/(28x-5)	$\frac{16 x}{28 x - 5}$
47796	Finde die Asymptoten	(5x)/(x^2-9)	$\frac{5 x}{x^{2} - 9}$
47797	Finde die Asymptoten	(x+2)/(x^3-6x^2+8x)	$\frac{x + 2}{x^{3} - 6 x^{2} + 8 x}$
47798	Finde die Asymptoten	(x+4)/(x^2+13x+36)	$\frac{x + 4}{x^{2} + 13 x + 36}$
47799	Finde die Asymptoten	x+14/x	$x + \frac{14}{x}$
47800	Finde die Asymptoten	(7x^2)/(x^2-4)	$\frac{7 x^{2}}{x^{2} - 4}$