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Problemas populares

Classificação	Tópico	Problema	Problema formatado
64001	Avalie o Somatório	soma de k=1 com 6 de 2k	$\sum_{k = 1}^{6} 2 k$
64002	Ermittle dy/dx	(dy)/(dx)=x-10	$\frac{d y}{d x} = x - 10$
64003	Ermittle dy/dx	x^3y^2-e^(3y)=5	$x^{3} y^{2} - e^{3 y} = 5$
64004	Ermittle dy/dx	x^3-xy^2+y^3=1	$x^{3} - x y^{2} + y^{3} = 1$
64005	Ermittle dy/dx	x^2y+4y=8	$x^{2} y + 4 y = 8$
64006	Ermittle dy/dx	4x^2+3xy+7y^3+4y^2=2	$4 x^{2} + 3 x y + 7 y^{3} + 4 y^{2} = 2$
64007	Ermittle dy/dx	4x^2-2y^2=9	$4 x^{2} - 2 y^{2} = 9$
64008	Ermittle dy/dx	y=(3x^2-9)^-10	$y = {(3 x^{2} - 9)}^{- 10}$
64009	Encontre Onde é Crescente/Decrescente Usando as Derivadas	3(x-4)^(2/3)+6	$3 {(x - 4)}^{\frac{2}{3}} + 6$
64010	Encontre a Integral	integral de e^(4x) com relação a x	$\int e^{4 x} d x$
64011	Encontre a Integral	integral de cos(x^2) com relação a x	$\int \cos (x^{2}) d x$
64012	Encontre a Integral	integral da raiz cúbica de x com relação a x	$\int \sqrt[3]{x} d x$
64013	Encontre a Integral	((x^3-3x^2+2x-1)dx)/(x^2-4x+4)	$\frac{(x^{3} - 3 x^{2} + 2 x - 1) d x}{x^{2} - 4 x + 4}$
64014	Encontre a Integral	4^x	$4^{x}$
64015	Ermittle die Ableitung - d/dt	2te^(3t)	$2 t e^{3 t}$
64016	Ermittle die Ableitung - d/dy	cos(2y)	$\cos (2 y)$
64017	Ermittle die Ableitung - d/d@VAR	f(x)=0.005x(300-x)	$f (x) = 0.005 x (300 - x)$
64018	Ermittle die Ableitung - d/d@VAR	f(x) = raiz sexta de (x^2+1)^5	$f (x) = \sqrt[6]{{(x^{2} + 1)}^{5}}$
64019	Ermittle die Ableitung - d/d@VAR	f(x)=(e^(-3x) raiz quadrada de 2x-5)/((6-5x)^4)	$f (x) = \frac{e^{- 3 x} \sqrt{2 x - 5}}{{(6 - 5 x)}^{4}}$
64020	Ermittle die Ableitung - d/d@VAR	f(x)=(5x-5)(4x^3-x^2+1)	$f (x) = (5 x - 5) (4 x^{3} - x^{2} + 1)$
64021	Ermittle die Ableitung - d/d@VAR	f(x)=6/(x^4)	$f (x) = \frac{6}{x^{4}}$
64022	Ermittle die Ableitung - d/d@VAR	f(x)=arcsin(8x)+arccos(8x)	$f (x) = \arcsin (8 x) + \arccos (8 x)$
64023	Ermittle die Ableitung - d/d@VAR	f(x)=e^(18x)	$f (x) = e^{18 x}$
64024	Ermittle die Ableitung - d/d@VAR	f(x)=e^x-x^e	$f (x) = e^{x} - x^{e}$
64025	Ermittle die Ableitung - d/d@VAR	f(x)=2^70	$f (x) = 2^{70}$
64026	Ermittle die Ableitung - d/d@VAR	f(x)=19e^x	$f (x) = 19 e^{x}$
64027	Ermittle die Ableitung - d/d@VAR	f(x)=5x+1	$f (x) = 5 x + 1$
64028	Ermittle die Ableitung - d/d@VAR	f(t)=(cos(t))/t	$f (t) = \frac{\cos (t)}{t}$
64029	Ermittle die Ableitung - d/d@VAR	f(s)=arccot(e^s)	$f (s) = arccot (e^{s})$
64030	Ermittle die Ableitung - d/d@VAR	f(x)=1/(2x^(1/3))	$f (x) = \frac{1}{2 x^{\frac{1}{3}}}$
64031	Ermittle die Ableitung - d/d@VAR	f(x)=144/x	$f (x) = \frac{144}{x}$
64032	Ermittle die Ableitung - d/d@VAR	B(y)=cy^-7	$B (y) = c y^{- 7}$
64033	Encontre o Máximo e Mínimo Local	f(x)=(x-7)(x^2-14x-98)	$f (x) = (x - 7) (x^{2} - 14 x - 98)$
64034	Ermittle die Second-Ableitung	x^(1/2)	$x^{\frac{1}{2}}$
64035	Avalie o Somatório	soma de i=1 com 6 de 9i	$\sum_{i = 1}^{6} 9 i$
64036	Avalie o Somatório	soma de i=4 com 12 de -4-7i	$\sum_{i = 4}^{12} - 4 - 7 i$
64037	Avalie o Somatório	soma de i=1 com 4 de (i+1)^i	$\sum_{i = 1}^{4} {(i + 1)}^{i}$
64038	Ermittle dy/dx	y = square root of 4-x^2	$y = \sqrt{4 - x^{2}}$
64039	Ermittle dy/dx	y = cube root of x	$y = \sqrt[3]{x}$
64040	Ermittle dy/dx	y=-4x^3	$y = - 4 x^{3}$
64041	Ermittle dy/dx	8x^2+4xy+4y^2=0	$8 x^{2} + 4 x y + 4 y^{2} = 0$
64042	Ermittle dy/dx	e^(2x)=sin(x+2y)	$e^{2 x} = \sin (x + 2 y)$
64043	Ermittle dy/dx	cos(xy)+x^4=y^4	$\cos (x y) + x^{4} = y^{4}$
64044	Ermittle dy/dx	x^2-y^2=80	$x^{2} - y^{2} = 80$
64045	Ermittle dy/dx	x^2y^2-2x=4-4y	$x^{2} y^{2} - 2 x = 4 - 4 y$
64046	Ermittle dy/dx	tan(x-y)=y/(9+x^2)	$\tan (x - y) = \frac{y}{9 + x^{2}}$
64047	Ermittle dy/dx	x^10-5x^2y^2=4	$x^{10} - 5 x^{2} y^{2} = 4$
64048	Ermittle dy/dx	raiz quadrada de xy=4x+2y	$\sqrt{x y} = 4 x + 2 y$
64049	Ermittle dy/dx	2y^2+7x^2-13=0	$2 y^{2} + 7 x^{2} - 13 = 0$
64050	Avalie o Somatório	soma de k=1 com 2 de (72k)/(k+7)	$\sum_{k = 1}^{2} \frac{72 k}{k + 7}$
64051	Avalie o Somatório	soma de k=8 com 47 de 3.5	$\sum_{k = 8}^{47} 3.5$
64052	Avalie o Somatório	soma de n=1 com 100 de 2n-4	$\sum_{n = 1}^{100} 2 n - 4$
64053	Avalie o Somatório	soma de n=1 com 120 de 2n-8	$\sum_{n = 1}^{120} 2 n - 8$
64054	Avalie o Somatório	soma de n=1 com 120 de 6-1/2n	$\sum_{n = 1}^{120} 6 - \frac{1}{2} n$
64055	Ermittle die Second-Ableitung	x^2+y^2=7	$x^{2} + y^{2} = 7$
64056	Ermittle die Ableitung - d/d@VAR	f(x)=(1-2x)^-8	$f (x) = {(1 - 2 x)}^{- 8}$
64057	Ermittle die Ableitung - d/d@VAR	f(x)=(10-7x^2)(10x^3+6x^-2+8)	$f (x) = (10 - 7 x^{2}) (10 x^{3} + 6 x^{- 2} + 8)$
64058	Ermittle die Ableitung - d/d@VAR	f(x)=2/(3x^(1/3))	$f (x) = \frac{2}{3 x^{\frac{1}{3}}}$
64059	Ermittle die Ableitung - d/d@VAR	f(x)=3/5x^10	$f (x) = \frac{3}{5} x^{10}$
64060	Ermittle die Ableitung - d/d@VAR	f(r)=5/(r^3)	$f (r) = \frac{5}{r^{3}}$
64061	Ermittle die Ableitung - d/d@VAR	f(theta)=7/5sin(2theta)^2	$f (θ) = \frac{7}{5} \sin^{2} (2 θ)$
64062	Ermittle die Ableitung - d/d@VAR	f(t)=1/4(t^4+8)	$f (t) = \frac{1}{4} (t^{4} + 8)$
64063	Ermittle die Ableitung - d/d@VAR	f(t)=5tsin(pit)	$f (t) = 5 t \sin (π t)$
64064	Ermittle die Ableitung - d/d@VAR	f(t)=e^(5tsin(2t))	$f (t) = e^{5 t \sin (2 t)}$
64065	Ermittle die Ableitung - d/d@VAR	f(t)=t- raiz cúbica de t	$f (t) = t - \sqrt[3]{t}$
64066	Ermittle die Ableitung - d/d@VAR	f(x)=(x+1)/(x-1)	$f (x) = \frac{(x + 1)}{(x - 1)}$
64067	Ermittle die Ableitung - d/d@VAR	f(x)=3x-8	$f (x) = 3 x - 8$
64068	Ermittle die Ableitung - d/d@VAR	f(x)=-4x-2	$f (x) = - 4 x - 2$
64069	Ermittle die Ableitung - d/d@VAR	f(x)=4x^2-2x+3	$f (x) = 4 x^{2} - 2 x + 3$
64070	Ermittle die Ableitung - d/d@VAR	f(x)=-7x^3	$f (x) = - 7 x^{3}$
64071	Ermittle die Ableitung - d/d@VAR	f(x)=-6x^3	$f (x) = - 6 x^{3}$
64072	Ermittle die Ableitung - d/d@VAR	f(x)=3e^(2x-5)	$f (x) = 3 e^{2 x - 5}$
64073	Ermittle die Ableitung - d/d@VAR	f(x)=3^(2x)	$f (x) = 3^{2 x}$
64074	Ermittle die Ableitung - d/d@VAR	f(x)=2^80	$f (x) = 2^{80}$
64075	Ermittle die Ableitung - d/d@VAR	f'(x)=cos(x)	$f' (x) = \cos (x)$
64076	Ermittle die Ableitung - d/d@VAR	f(x)=x^( logaritmo natural de x)	$f (x) = x^{\ln (x)}$
64077	Ermittle die Ableitung - d/d@VAR	f(x)=x raiz quadrada de x+4	$f (x) = x \sqrt{x + 4}$
64078	Ermittle die Ableitung - d/d@VAR	f(x)=tan(2x)	$f (x) = \tan (2 x)$
64079	Ermittle die Ableitung - d/d@VAR	f(x)=sin(2x)e^(3x+1)	$f (x) = \sin (2 x) e^{3 x + 1}$
64080	Ermittle die Ableitung - d/d@VAR	F(x)=(5x+8)^2	$F (x) = {(5 x + 8)}^{2}$
64081	Ermittle die Ableitung - d/d@VAR	f(x)=7/2x^2	$f (x) = \frac{7}{2} x^{2}$
64082	Ermittle die Ableitung - d/d@VAR	f(x)=6/x+1/(x^2)	$f (x) = \frac{6}{x} + \frac{1}{x^{2}}$
64083	Ermittle die Ableitung - d/d@VAR	f(x) = logaritmo de cos(x)	$f (x) = \log (\cos (x))$
64084	Ermittle die Ableitung - d/d@VAR	f(x) = raiz quadrada de x logaritmo natural de x	$f (x) = \sqrt{x} \ln (x)$
64085	Ermittle die Ableitung - d/d@VAR	f(x) = natural log of 4x	$f (x) = \ln (4 x)$
64086	Ermittle die Ableitung - d/d@VAR	f(x)=(x^3)/9	$f (x) = \frac{x^{3}}{9}$
64087	Ermittle die Ableitung - d/d@VAR	g(theta)=cos(theta)^2	$g (θ) = \cos^{2} (θ)$
64088	Ermittle die Ableitung - d/d@VAR	f(x)=xe^(x^2+1)	$f (x) = x e^{x^{2} + 1}$
64089	Ermittle die Ableitung - d/d@VAR	f(x)=x^4-17x^2+16	$f (x) = x^{4} - 17 x^{2} + 16$
64090	Ermittle die Ableitung - d/d@VAR	f(x)=x^2(x-2)^4	$f (x) = x^{2} {(x - 2)}^{4}$
64091	Ermittle die Ableitung - d/d@VAR	f(x)=x^2+7x-2	$f (x) = x^{2} + 7 x - 2$
64092	Ermittle die Ableitung - d/d@VAR	g(x)=1/(x^2)	$g (x) = \frac{1}{x^{2}}$
64093	Ermittle die Ableitung - d/d@VAR	s(t)=(7t)/(sin(t))	$s (t) = \frac{7 t}{\sin (t)}$
64094	Ermittle die Ableitung - d/d@VAR	s(t)=19t^2	$s (t) = 19 t^{2}$
64095	Ermittle die Ableitung - d/dT	(89T)/(99T-89)	$\frac{89 T}{99 T - 89}$
64096	Ermittle die Ableitung - d/dt	raiz sétima de t+6 raiz quadrada de t^7	$\sqrt[7]{t} + 6 \sqrt{t^{7}}$
64097	Ermittle die Ableitung - d/dt	1/2t^2	$\frac{1}{2} t^{2}$
64098	Ermittle die Ableitung - d/dt	t^2-1/(t^3)	$t^{2} - \frac{1}{t^{3}}$
64099	Avalie Usando a Regra de L'Hôpital	limite à medida que x aproxima infinity de x^4e^(-x^2)	$lim_{x \to \infty} x^{4} e^{- x^{2}}$
64100	Divida	((6-x)/(x^2+2x-3))÷((x^2-4x-12)/(x^2+4x+3))	$\frac{6 - x}{x^{2} + 2 x - 3} \div \frac{x^{2} - 4 x - 12}{x^{2} + 4 x + 3}$