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Rang	Thema	Aufgabe	Formatierte Aufgabe
9901	Ermittle den Wertebereich	f(x)=1/(x-3)	$f (x) = \frac{1}{x - 3}$
9902	Ermittle den Wertebereich	f(x) = square root of x+7+3	$f (x) = \sqrt{x + 7} + 3$
9903	Ermittle den Wertebereich	2x^4+7x^3-7x^2+28x-60	$2 x^{4} + 7 x^{3} - 7 x^{2} + 28 x - 60$
9904	Ermittle den Wertebereich	4^x+64(4^(-x))=20	$4^{x} + 64 (4^{- x}) = 20$
9905	Ermittle den Wertebereich	0.3=2e^(-0.31t)	$0.3 = 2 \cdot e^{- 0.31 \cdot t}$
9906	Ermittle den Wertebereich	s(1)=30e^(-0.3t)	$s (1) = 30 e^{- 0.3 t}$
9907	Löse im Intervall	arcsin(x)+arcsin(y)=pi/2 , (( Quadratwurzel von 2)/2,( Quadratwurzel von 2)/2)	$\arcsin (x) + \arcsin (y) = \frac{π}{2}$ , $(\frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2})$
9908	Berechne den Grenzwert	Limes von Quadratwurzel von x^2+8x+16 für x gegen 7	$lim_{x \to 7} \sqrt{x^{2} + 8 x + 16}$
9909	Stelle graphisch dar	cot(0)=1/8	$\cot (0) = \frac{1}{8}$
9910	Ermittle den Wertebereich	(1.01)^5=(1+10^-2)^5	${(1.01)}^{5} = {(1 + 10^{- 2})}^{5}$
9911	x 구하기	Logarithmische Basis 2 von 8=3	$\log_{2} (8) = 3$
9912	Finde die Asymptoten	(e^x)/x	$\frac{e^{x}}{x}$
9913	Finde die Asymptoten	( Quadratwurzel von a Quadratwurzel von b)/( Kubikwurzel von ab)	$\frac{\sqrt{a \sqrt{b}}}{\sqrt[3]{a b}}$
9914	Finde die Asymptoten	(x^2+x-90)/(x+5)	$\frac{x^{2} + x - 90}{x + 5}$
9915	Finde die Asymptoten	1/(x^2-9)	$\frac{1}{x^{2} - 9}$
9916	x 구하기	y = natural log of x/(x-1)	$y = \ln (\frac{x}{x - 1})$
9917	x 구하기	2x-1/4*(12x+4)=3	$2 x - \frac{1}{4} \cdot (12 x + 4) = 3$
9918	x 구하기	y = square root of x^2-5x-14	$y = \sqrt{x^{2} - 5 x - 14}$
9919	x 구하기	y=x/(x^2+9)	$y = \frac{x}{x^{2} + 9}$
9920	x 구하기	x/(x+1)+5/x=1/(x^2+x)	$\frac{x}{x + 1} + \frac{5}{x} = \frac{1}{x^{2} + x}$
9921	x 구하기	y=0.21t	$y = 0.21 t$
9922	x 구하기	y=(1+e^x)/(1-e^x)	$y = \frac{1 + e^{x}}{1 - e^{x}}$
9923	x 구하기	(8x^(-2/3))/3+(4x^(1/3))/3=0	$\frac{8 x^{- \frac{2}{3}}}{3} + \frac{4 x^{\frac{1}{3}}}{3} = 0$
9924	Finde die Asymptoten	(2x)/( Quadratwurzel von x^2+x+1)	$\frac{2 x}{\sqrt{x^{2} + x + 1}}$
9925	Finde die Asymptoten	(3x-2)/( Quadratwurzel von 2x^2+1)	$\frac{3 x - 2}{\sqrt{2 x^{2} + 1}}$
9926	x 구하기	y=arcsin(x)	$y = \arcsin (x)$
9927	Finde die Asymptoten	(x^3-16)/x	$\frac{x^{3} - 16}{x}$
9928	Finde die Asymptoten	(dr)/(dx)=-0.8x+240	$\frac{d r}{d x} = - 0.8 x + 240$
9929	Finde die Asymptoten	3x^3+2x^2y-7xy^2+2y^3-14xy+7y^2+4x+5y=0	$3 x^{3} + 2 x^{2} y - 7 x y^{2} + 2 y^{3} - 14 x y + 7 y^{2} + 4 x + 5 y = 0$
9930	Finde die Asymptoten	(3x Quadratwurzel von x)/(x^(1/2))	$\frac{3 x \sqrt{x}}{x^{\frac{1}{2}}}$
9931	Finde die Asymptoten	y=(3+x^4)/(x^2-x^4)	$y = \frac{3 + x^{4}}{x^{2} - x^{4}}$
9932	Finde die Asymptoten	Quadratwurzel von x^2-16	$\sqrt{x^{2} - 16}$
9933	Finde die Asymptoten	xe^x	$x e^{x}$
9934	Finde die Asymptoten	f(x)=(x^2-1)/(x^3+1)	$f (x) = \frac{x^{2} - 1}{x^{3} + 1}$
9935	Finde die Asymptoten	f(x)=(x^2-36)/(2x+5)	$f (x) = \frac{x^{2} - 36}{2 x + 5}$
9936	Finde die Asymptoten	f(x)=(x^2-9)/(x^2-4)	$f (x) = \frac{x^{2} - 9}{x^{2} - 4}$
9937	Finde die Asymptoten	f(x)=(x^2-5x+6)/(x^2-2x)	$f (x) = \frac{x^{2} - 5 x + 6}{x^{2} - 2 x}$
9938	Finde die horizontale Tangente	y=x^2-4	$y = x^{2} - 4$
9939	Finde die Asymptoten	f(x)=(x^2-6x+12)/(x-4)	$f (x) = \frac{x^{2} - 6 x + 12}{x - 4}$
9940	Finde die Asymptoten	f(x)=(x^2-8)/(x-3)	$f (x) = \frac{x^{2} - 8}{x - 3}$
9941	Ermittle die kritischen Punkte	f(x)=(x+2)^(6/7)	$f (x) = {(x + 2)}^{\frac{6}{7}}$
9942	Finde die Asymptoten	f(x)=(x^3-1)/(x^2-1)	$f (x) = \frac{x^{3} - 1}{x^{2} - 1}$
9943	Finde die Asymptoten	f(x)=1/x-3	$f (x) = \frac{1}{x} - 3$
9944	Finde die Asymptoten	f(x)=1/(x^3-1)	$f (x) = \frac{1}{x^{3} - 1}$
9945	Finde die Asymptoten	f(x)=-1/(x-1)	$f (x) = \frac{- 1}{x - 1}$
9946	Finde die Asymptoten	f(x)=(2x^2-3x)/(8x^2+8)	$f (x) = \frac{2 x^{2} - 3 x}{8 x^{2} + 8}$
9947	Finde die Asymptoten	f(x)=(2x^2)/(9-x^2)	$f (x) = \frac{2 x^{2}}{9 - x^{2}}$
9948	Finde die Asymptoten	f(x)=(12x)/(x^2-144)	$f (x) = \frac{12 x}{x^{2} - 144}$
9949	Finde die Asymptoten	f(x)=(11x)/(x^2-121)	$f (x) = \frac{11 x}{x^{2} - 121}$
9950	Finde die Asymptoten	f(x)=(2e^x)/(e^x-9)	$f (x) = \frac{2 e^{x}}{e^{x} - 9}$
9951	Finde die Asymptoten	f(x)=(2e^x-6)/(e^x+1)	$f (x) = \frac{2 e^{x} - 6}{e^{x} + 1}$
9952	Finde die Asymptoten	f(x)=(2x)/(sin(x))	$f (x) = \frac{2 x}{\sin (x)}$
9953	Finde die Asymptoten	f(x)=(3x^2)/(x-4)	$f (x) = \frac{3 x^{2}}{x - 4}$
9954	Finde die Asymptoten	f(x)=3/(x^2-1)	$f (x) = \frac{3}{x^{2} - 1}$
9955	Finde die Asymptoten	f(x)=(3x^2+2x-16)/(x^2-7)	$f (x) = \frac{3 x^{2} + 2 x - 16}{x^{2} - 7}$
9956	Finde die Asymptoten	f(x)=(2x)/(x^2-2x-15)	$f (x) = \frac{2 x}{x^{2} - 2 x - 15}$
9957	Finde die Asymptoten	f(x)=(2x-3)/(x-5)	$f (x) = \frac{2 x - 3}{x - 5}$
9958	Finde die Asymptoten	f(x)=(2x-4)/(x+2)	$f (x) = \frac{2 x - 4}{x + 2}$
9959	Finde die Asymptoten	f(x)=(2x^3-16)/(x^3+1)	$f (x) = \frac{2 x^{3} - 16}{x^{3} + 1}$
9960	Finde die Asymptoten	f(x)=(2x^2-8)/(x^2-16)	$f (x) = \frac{2 x^{2} - 8}{x^{2} - 16}$
9961	Finde die Asymptoten	sechste Wurzel von x	$\sqrt[6]{x}$
9962	Finde die Asymptoten	x/(x^2-2x-3)	$\frac{x}{x^{2} - 2 x - 3}$
9963	Finde die Asymptoten	x^3-34x-12=0	$x^{3} - 34 x - 12 = 0$
9964	Finde die Asymptoten	f(x)=(5x^2-9)/(8x+7)	$f (x) = \frac{5 x^{2} - 9}{8 x + 7}$
9965	Finde die Asymptoten	f(x)=(x^2+5x-14)/(x^2-4)	$f (x) = \frac{x^{2} + 5 x - 14}{x^{2} - 4}$
9966	Finde die Asymptoten	f(x)=(x^2-1)/(x+1)	$f (x) = \frac{x^{2} - 1}{x + 1}$
9967	Finde die Asymptoten	f(x)=(x^2-16)/(x^2+4x)	$f (x) = \frac{x^{2} - 16}{x^{2} + 4 x}$
9968	Finde die Asymptoten	f(x)=(x^2-2x)/(x^4-16)	$f (x) = \frac{x^{2} - 2 x}{x^{4} - 16}$
9969	Finde die Asymptoten	f(x)=(x^2+2x+3)/(x^2-1)	$f (x) = \frac{x^{2} + 2 x + 3}{x^{2} - 1}$
9970	Finde die Asymptoten	f(x)=(x-2)/(2x^2+3x-5)	$f (x) = \frac{x - 2}{2 x^{2} + 3 x - 5}$
9971	Finde die Asymptoten	f(x)=( Quadratwurzel von x)/(x-4 Quadratwurzel von x+4)	$f (x) = \frac{\sqrt{x}}{x - 4 \sqrt{x} + 4}$
9972	Finde die Asymptoten	f(x)=(x^2)/(x+2)	$f (x) = \frac{x^{2}}{x + 2}$
9973	Finde die Asymptoten	x/( Quadratwurzel von 2x-1)	$\frac{x}{\sqrt{2 x - 1}}$
9974	Finde die Asymptoten	x/( Quadratwurzel von x^2-4)	$\frac{x}{\sqrt{x^{2} - 4}}$
9975	Finde die Asymptoten	f(x)=(x^2-9x+14)/(x^2-5x+6)	$f (x) = \frac{x^{2} - 9 x + 14}{x^{2} - 5 x + 6}$
9976	Finde die Asymptoten	f(x)=((x-4)^2)/((x-2)^2)	$f (x) = \frac{{(x - 4)}^{2}}{{(x - 2)}^{2}}$
9977	미분 구하기 - d/dx	y=(1/(4-x^2))	$y = (\frac{1}{4 - x^{2}})$
9978	미분 구하기 - d/dx	y=( Quadratwurzel von x+1)e^(-2x)	$y = (\sqrt{x} + 1) e^{- 2 x}$
9979	미분 구하기 - d/dx	y=(x^3+2x-7)(3+x-x^2)	$y = (x^{3} + 2 x - 7) (3 + x - x^{2})$
9980	미분 구하기 - d/dx	y=(arctan(9x))^2
9981	미분 구하기 - d/dx	y=(1+x-x^2)e^x	$y = (1 + x - x^{2}) e^{x}$
9982	미분 구하기 - d/dx	y=(2x^2-4x+4)e^x	$y = (2 x^{2} - 4 x + 4) e^{x}$
9983	미분 구하기 - d/dx	y=e^(-3x)	$y = e^{- 3 x}$
9984	미분 구하기 - d/dx	y=4^(-6x)	$y = 4^{- 6 x}$
9985	미분 구하기 - d/dx	y=sin(e^(5x))^2+cos(e^(5x))^2	$y = \sin^{2} (e^{5 x}) + \cos^{2} (e^{5 x})$
9986	미분 구하기 - d/dt	y=cos( Quadratwurzel von 6t+11)	$y = \cos (\sqrt{6 t + 11})$
9987	미분 구하기 - d/dt	y = natural log of t^2	$y = \ln (t^{2})$
9988	미분 구하기 - d/dt	y=arctan( Quadratwurzel von 6t)	$y = \arctan (\sqrt{6 t})$
9989	미분 구하기 - d/dt	y=t^2+2t-3	$y = t^{2} + 2 t - 3$
9990	미분 구하기 - d/dt	y = square root of 6t+8	$y = \sqrt{6 t + 8}$
9991	미분 구하기 - d/dt	y=e^(cos(t)+ natürlicher Logarithmus von t)	$y = e^{\cos (t) + \ln (t)}$
9992	미분 구하기 - d/dt	y=e^(-2t)cos(4t)	$y = e^{- 2 t} \cos (4 t)$
9993	미분 구하기 - d/dt	y=e^(tan(pit))	$y = e^{\tan (π t)}$
9994	미분 구하기 - d/dt	y = natural log of (1-t)^-2	$y = \ln ({(1 - t)}^{- 2})$
9995	미분 구하기 - d/dt	y = square root of t/(t+1)	$y = \sqrt{\frac{t}{t + 1}}$
9996	미분 구하기 - d/dt	y=2+5t-8t^3	$y = 2 + 5 t - 8 t^{3}$
9997	미분 구하기 - d/dt	y=2-t	$y = 2 - t$
9998	미분 구하기 - d/dt	y=7cos(t)	$y = 7 \cos (t)$
9999	dz/dv 구하기	z=v^(3/2)(v+ce^v)	$z = v^{\frac{3}{2}} (v + c e^{v})$
10000	dy/dx 구하기	z=2x-3xy	$z = 2 x - 3 x y$