Mathway | Problemas populares

Problemas populares

Classificação	Tópico	Problema	Problema formatado
44801	Avalie Usando a Regra de L'Hôpital	limite à medida que x aproxima 0 de (sin(x))/(5x+3sin(x))	$lim_{x \to 0} \frac{\sin (x)}{5 x + 3 \sin (x)}$
44802	Avalie Usando a Regra de L'Hôpital	limite à medida que x aproxima infinity de cos(x)	$lim_{x \to \infty} \cos (x)$
44803	Avalie Usando a Regra de L'Hôpital	limite à medida que x se aproxima de 1 de (5x)/(x-1)-5/( logaritmo natural de x)	$lim_{x \to 1} \frac{5 x}{x - 1} - \frac{5}{\ln (x)}$
44804	Avalie Usando a Regra de L'Hôpital	limite à medida que x se aproxima de infinity de 9x- logaritmo natural de x	$lim_{x \to \infty} 9 x - \ln (x)$
44805	Avalie Usando a Regra de L'Hôpital	limite à medida que x aproxima negative infinity de xe^x	$lim_{x \to - \infty} x e^{x}$
44806	Avalie Usando a Regra de L'Hôpital	limite à medida que x se aproxima de infinity de ( logaritmo natural de x+1)/( base do logaritmo 2 de x)	$lim_{x \to \infty} \frac{\ln (x + 1)}{\log_{2} (x)}$
44807	Encontre a Reta Tangente Horizontal	25x^2+16y^2+200x-160y+400=0	$25 x^{2} + 16 y^{2} + 200 x - 160 y + 400 = 0$
44808	Encontre as Assíntotas	f(x)=(x+2)/(x^3-9x^2+14x)	$f (x) = \frac{x + 2}{x^{3} - 9 x^{2} + 14 x}$
44809	Encontre as Assíntotas	f(x)=3/(x^2-2x-15)	$f (x) = \frac{3}{x^{2} - 2 x - 15}$
44810	Encontre as Assíntotas	f(x)=6-7/x	$f (x) = 6 - \frac{7}{x}$
44811	Encontre as Assíntotas	f(x)=7-8/x	$f (x) = 7 - \frac{8}{x}$
44812	Encontre as Assíntotas	f(x)=(x+11)/(x^2-121)	$f (x) = \frac{x + 11}{x^{2} - 121}$
44813	Encontre as Assíntotas	g(t)=(t-6)/(t^2+36)	$g (t) = \frac{t - 6}{t^{2} + 36}$
44814	Encontre o Valor Máximo/Mínimo	x^2+2x+18	$x^{2} + 2 x + 18$
44815	Ermittle die Second-Ableitung	8x^-3	$8 x^{- 3}$
44816	Ermittle die Second-Ableitung	8csc(x)	$8 \csc (x)$
44817	Ermittle die Second-Ableitung	e^(7x^2)	$e^{7 x^{2}}$
44818	Ermittle die Second-Ableitung	e^(8x)	$e^{8 x}$
44819	Ermittle die Second-Ableitung	e^(11x)cos(x)	$e^{11 x} \cos (x)$
44820	Ermittle die Second-Ableitung	cos(6x^2)	$\cos (6 x^{2})$
44821	Ermittle die Second-Ableitung	7e^(-x)-4e^(-7x)	$7 e^{- x} - 4 e^{- 7 x}$
44822	Ermittle die Second-Ableitung	logaritmo natural de sec(5x)+tan(5x)	$\ln (\sec (5 x) + \tan (5 x))$
44823	Ermittle die Second-Ableitung	x^(22/7)	$x^{\frac{22}{7}}$
44824	Ermittle die Third-Ableitung	14x^3-34x^2	$14 x^{3} - 34 x^{2}$
44825	Ermittle die Third-Ableitung	6x^-4	$6 x^{- 4}$
44826	Ermittle die Second-Ableitung	(7x-1)/(7x+1)	$\frac{7 x - 1}{7 x + 1}$
44827	Ermittle die Fourth-Ableitung	e^(8x)	$e^{8 x}$
44828	Ermittle die Fourth-Ableitung	x^(22/7)	$x^{\frac{22}{7}}$
44829	Ermittle die Second-Ableitung	-x/(7y)	$- \frac{x}{7 y}$
44830	Ermittle die Second-Ableitung	5xcos(x^2)	$5 x \cos (x^{2})$
44831	Ermittle die Fourth-Ableitung	14x^3-34x^2	$14 x^{3} - 34 x^{2}$
44832	Ermittle die Fourth-Ableitung	3x^2+5e^x	$3 x^{2} + 5 e^{x}$
44833	Ermittle die Second-Ableitung	256cos(2x)	$256 \cos (2 x)$
44834	Ermittle die Second-Ableitung	17e^(x^2)	$17 e^{x^{2}}$
44835	Ermittle die Second-Ableitung	19e^(x^2)	$19 e^{x^{2}}$
44836	Ermittle die Second-Ableitung	14x^3-34x^2	$14 x^{3} - 34 x^{2}$
44837	Encontre a Antiderivada	1/( raiz quadrada de 16-x^2)	$\frac{1}{\sqrt{16 - x^{2}}}$
44838	Encontre a Antiderivada	4x^-5	$4 x^{- 5}$
44839	Encontre a Antiderivada	5sin(x)^2cos(x)	$5 \sin^{2} (x) \cos (x)$
44840	Encontre a Antiderivada	4x-x^3	$4 x - x^{3}$
44841	Encontre a Antiderivada	x^2cos(x)	$x^{2} \cos (x)$
44842	Encontre a Antiderivada	1/2sin(2x)	$\frac{1}{2} \sin (2 x)$
44843	Encontre a Antiderivada	raiz cúbica de y	$\sqrt[3]{y}$
44844	Encontre a Antiderivada	x^3 raiz quadrada de x	$x^{3} \sqrt{x}$
44845	Encontre a Antiderivada	raiz cúbica de x^5	$\sqrt[3]{x^{5}}$
44846	Encontre a Antiderivada	1/((3x)^2)	$\frac{1}{{(3 x)}^{2}}$
44847	Encontre a Antiderivada	sec(x)(sec(x)+tan(x))	$\sec (x (\sec (x) + \tan (x)))$
44848	Encontre a Antiderivada	sec(x)(tan(x)-sec(x))	$\sec (x (\tan (x) - \sec (x)))$
44849	Encontre a Antiderivada	1/(x^2)dx	$\frac{1}{x^{2}} d x$
44850	Encontre a Antiderivada	(x-2)	$(x - 2)$
44851	Encontre a Antiderivada	-10x^4+8x^3	$- 10 x^{4} + 8 x^{3}$
44852	Encontre a Antiderivada	-tan(x)	$- \tan (x)$
44853	Encontre a Antiderivada	4sec(theta)tan(theta)	$4 \sec (θ) \tan (θ)$
44854	Encontre a Antiderivada	-1/7x^(-8/7)	$- \frac{1}{7} x^{- \frac{8}{7}}$
44855	Encontre a Antiderivada	3^x logaritmo natural de 3	$3^{x} \ln (3)$
44856	Encontre a Antiderivada	e^(-5x^3)	$e^{- 5 x^{3}}$
44857	Encontre a Antiderivada	( raiz sexta de x)^3	${(\sqrt[6]{x})}^{3}$
44858	Encontre a Antiderivada	( raiz quadrada de x)/3	$\frac{\sqrt{x}}{3}$
44859	Encontre a Antiderivada	x^(3/2)+2x+1	$x^{\frac{3}{2}} + 2 x + 1$
44860	Encontre a Antiderivada	18x	$18 x$
44861	Encontre a Antiderivada	cos(9x)	$\cos (9 x)$
44862	Encontre as Raízes (Zeros)	324x^3-144x	$324 x^{3} - 144 x$
44863	Encontre as Raízes (Zeros)	x^3-13x^2+60x-100	$x^{3} - 13 x^{2} + 60 x - 100$
44864	Encontre a Antiderivada	-5sin(3x)	$- 5 \sin (3 x)$
44865	Encontre a Antiderivada	1/2sec(x)^2	$\frac{1}{2} \sec^{2} (x)$
44866	Encontre a Antiderivada	(x^3-4x-1)/(2x^3)	$\frac{x^{3} - 4 x - 1}{2 x^{3}}$
44867	Encontre o Domínio e o Intervalo	y=2e^x-1	$y = 2 e^{x} - 1$
44868	Encontre a Área Entre as Curvas	y=\|3x\| , y=x^2-4	$y = \| 3 x \|$ , $y = x^{2} - 4$
44869	Encontre a Área Entre as Curvas	y=6x^2-2 , y=4x	$y = 6 x^{2} - 2$ , $y = 4 x$
44870	Ermittle die Tangente bei (0,2)	y=x^4+2e^x , (0,2)	$y = x^{4} + 2 e^{x}$ , $(0, 2)$
44871	Ermittle die Tangente bei (0,0)	y=9xe^x , (0,0)	$y = 9 x e^{x}$ , $(0, 0)$
44872	Ermittle die Tangente bei (1,1)	9x^2+xy+9y^2=19 , (1,1)	$9 x^{2} + x y + 9 y^{2} = 19$ , $(1, 1)$
44873	Bestimme die Linearisierung bei a=8	f(x)=x^(2/3) , a=8	$f (x) = x^{\frac{2}{3}}$ , $a = 8$
44874	Bestimme die Linearisierung bei a=16	f(x)=x^(1/2) , a=16	$f (x) = x^{\frac{1}{2}}$ , $a = 16$
44875	Encontre as Assíntotas	4x^2-9y^2=36	$4 x^{2} - 9 y^{2} = 36$
44876	Ermittle die Ableitung mithilfe der Kettenregel - d/dr	r=sec( raiz quadrada de theta)tan(1/theta)	$r = \sec (\sqrt{θ}) \tan (\frac{1}{θ})$
44877	Ermittle die Ableitung mithilfe der Kettenregel - d/dd	(d^118)/(dx^118)(sin(x))	$\frac{d^{118}}{d x^{118}} (\sin (x))$
44878	Ermittle die Ableitung mithilfe der Kettenregel - d/dy	sin(xy^2)	$\sin (x y^{2})$
44879	Ermittle die Ableitung mithilfe der Kettenregel - d/dx	y=tan(2x^4)	$y = \tan (2 x^{4})$
44880	Ermittle die Ableitung mithilfe der Kettenregel - d/dx	y=cos(7sin(x))	$y = \cos (7 \sin (x))$
44881	Ermittle die Ableitung mithilfe der Kettenregel - d/dx	y=(6x+7)^9	$y = {(6 x + 7)}^{9}$
44882	Ermittle die Ableitung mithilfe der Kettenregel - d/dx	y=(3x+7)^11	$y = {(3 x + 7)}^{11}$
44883	Ermittle die Ableitung mithilfe der Kettenregel - d/dx	y=(4x+3)^4(x+1)^-3	$y = {(4 x + 3)}^{4} {(x + 1)}^{- 3}$
44884	Ermittle die Ableitung mithilfe der Kettenregel - d/dx	y=(2x+9)^10	$y = {(2 x + 9)}^{10}$
44885	Ermittle die Ableitung mithilfe der Kettenregel - d/dx	(d^118)/(dx^118)(sin(x))	$\frac{d^{118}}{d x^{118}} (\sin (x))$
44886	Encontre Onde é Crescente/Decrescente Usando as Derivadas	1/5x^5+7/2x^4+71/3x^3+77x^2+120x	$\frac{1}{5} x^{5} + \frac{7}{2} x^{4} + \frac{71}{3} x^{3} + 77 x^{2} + 120 x$
44887	Encontre Onde é Crescente/Decrescente Usando as Derivadas	x^3-27x+5	$x^{3} - 27 x + 5$
44888	Encontre Onde é Crescente/Decrescente Usando as Derivadas	3x^4-16x^3+24x^2	$3 x^{4} - 16 x^{3} + 24 x^{2}$
44889	Encontre Onde é Crescente/Decrescente Usando as Derivadas	300x-x^3	$300 x - x^{3}$
44890	Encontre Onde é Crescente/Decrescente Usando as Derivadas	2x^4+3x^3	$2 x^{4} + 3 x^{3}$
44891	Converta para Retangular	r=3sec(theta)	$r = 3 \sec (θ)$
44892	Encontre a Diferença de Quociente	f(x)=-2x^2-3x-4	$f (x) = - 2 x^{2} - 3 x - 4$
44893	Encontre as Assíntotas	(x^2-12x-108)/(x^2-24x+108)	$\frac{x^{2} - 12 x - 108}{x^{2} - 24 x + 108}$
44894	Encontre as Assíntotas	(x-2)/(x^2-4)	$\frac{x - 2}{x^{2} - 4}$
44895	Encontre as Assíntotas	(x^2-5x-50)/(x^2-15x+50)	$\frac{x^{2} - 5 x - 50}{x^{2} - 15 x + 50}$
44896	Encontre as Assíntotas	x/(x^2-16)	$\frac{x}{x^{2} - 16}$
44897	Encontre o Domínio	(1-4t)/(5+t)	$\frac{1 - 4 t}{5 + t}$
44898	Encontre o Domínio	(1-3t)/(5+t)	$\frac{1 - 3 t}{5 + t}$
44899	Encontre a Derivada do Integral	y=(5(1-sin(x)))/(2cos(x))	$y = \frac{5 (1 - \sin (x))}{2 \cos (x)}$
44900	Encontre a Derivada do Integral	(d^91)/(dx^91)(sin(x))	$\frac{d^{91}}{d x^{91}} (\sin (x))$