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Problemas populares

Classificação	Tópico	Problema	Problema formatado
64201	Avalie o Somatório	soma de i=1 com 5 de ai	$\sum_{i = 1}^{5} a i$
64202	Avalie o Somatório	soma de i=1 com 4 de 10	$\sum_{i = 1}^{4} 10$
64203	Ermittle dy/dx	y=cos(x)^3	$y = \cos^{3} (x)$
64204	Ermittle dy/dx	y=(x^3+x)^10	$y = {(x^{3} + x)}^{10}$
64205	Ermittle dy/dx	y=(9x^2-18x+18)e^x	$y = (9 x^{2} - 18 x + 18) e^{x}$
64206	Ermittle dy/dx	y=e^(5x)	$y = e^{5 x}$
64207	Ermittle dy/dx	y=e^(3x)sin(x)	$y = e^{3 x} \sin (x)$
64208	Ermittle dy/dx	y=6x^3	$y = 6 x^{3}$
64209	Ermittle dy/dx	y=6^x	$y = 6^{x}$
64210	Ermittle dy/dx	y=4x^4+9x^3+2	$y = 4 x^{4} + 9 x^{3} + 2$
64211	Ermittle dy/dx	y^2x^3=y^5+2y^3-2	$y^{2} x^{3} = y^{5} + 2 y^{3} - 2$
64212	Ermittle dy/dx	y^2=4-x	$y^{2} = 4 - x$
64213	Ermittle dy/dx	x^4-4xy=3	$x^{4} - 4 x y = 3$
64214	Ermittle dy/dx	x=sin(y)	$x = \sin (y)$
64215	Ermittle dy/dx	y=(5x^2-10x+10)e^x	$y = (5 x^{2} - 10 x + 10) e^{x}$
64216	Ermittle dy/dx	y=(2x^2-6)^-13	$y = {(2 x^{2} - 6)}^{- 13}$
64217	Ermittle dy/dx	y=((x-5)/(2x-1))^3	$y = {(\frac{x - 5}{2 x - 1})}^{3}$
64218	Ermittle dy/dx	4x^5+7y^5=11xy	$4 x^{5} + 7 y^{5} = 11 x y$
64219	Ermittle dy/dx	6sin(xy)=7x+5y	$6 \sin (x y) = 7 x + 5 y$
64220	Ermittle dy/dx	7xy+y^2=6x+y	$7 x y + y^{2} = 6 x + y$
64221	Ermittle dy/dx	9x^2+16y^2=144	$9 x^{2} + 16 y^{2} = 144$
64222	Ermittle dy/dx	x^2-4x+4y^2+16y+4=0	$x^{2} - 4 x + 4 y^{2} + 16 y + 4 = 0$
64223	Ermittle dy/dx	(x-3)^2+(y-2)^2=25	${(x - 3)}^{2} + {(y - 2)}^{2} = 25$
64224	Ermittle dy/dx	2x^2+3y^2=1	$2 x^{2} + 3 y^{2} = 1$
64225	Ermittle dy/dx	3xy=4x+y^2	$3 x y = 4 x + y^{2}$
64226	Avalie o Somatório	soma de k=1 com 6 de 4k	$\sum_{k = 1}^{6} 4 k$
64227	Avalie o Somatório	soma de k=1 com infinity de (2/3)^k	$\sum_{k = 1}^{\infty} {(\frac{2}{3})}^{k}$
64228	Avalie o Somatório	soma de k=1 com 11 de 6+(k-1)*2	$\sum_{k = 1}^{11} 6 + (k - 1) \cdot 2$
64229	Avalie o Somatório	soma de n=1 com 3 de 2n-3	$\sum_{n = 1}^{3} 2 n - 3$
64230	Avalie o Somatório	soma de n=1 com 90 de 3n-4	$\sum_{n = 1}^{90} 3 n - 4$
64231	Avalie o Somatório	soma de n=1 com 5 de 3n^2	$\sum_{n = 1}^{5} 3 n^{2}$
64232	Avalie o Somatório	soma de n=1 com 10 de 2n+5	$\sum_{n = 1}^{10} 2 n + 5$
64233	Avalie o Somatório	soma de n=1 com 120 de 3n-7	$\sum_{n = 1}^{120} 3 n - 7$
64234	Avalie o Somatório	soma de n=1 com 34 de (3n)/4	$\sum_{n = 1}^{34} \frac{3 n}{4}$
64235	Avalie o Somatório	soma de n=17 com 125 de 45n	$\sum_{n = 17}^{125} 45 n$
64236	Ermittle die Ableitung - d/d@VAR	A(s)=-11/(s^6)	$A (s) = - \frac{11}{s^{6}}$
64237	Ermittle die Ableitung - d/d@VAR	C(t)=25te^(-1/5t)	$C (t) = 25 t e^{- \frac{1}{5} t}$
64238	Ermittle die Ableitung - d/d@VAR	f(x)=1/(x^12)-(2*10^6)/(x^6)	$f (x) = \frac{1}{x^{12}} - \frac{2 \cdot 10^{6}}{x^{6}}$
64239	Ermittle die Ableitung - d/d@VAR	f(x)=2/5x^15	$f (x) = \frac{2}{5} x^{15}$
64240	Ermittle die Ableitung - d/d@VAR	f(x)=(1+x+x^2)^99	$f (x) = {(1 + x + x^{2})}^{99}$
64241	Ermittle die Ableitung - d/d@VAR	f(x)=(2x^4-3)(x^2+1)	$f (x) = (2 x^{4} - 3) (x^{2} + 1)$
64242	Ermittle die Ableitung - d/d@VAR	f(t)=(1/(t-3))^2	$f (t) = {(\frac{1}{t - 3})}^{2}$
64243	Ermittle die Ableitung - d/d@VAR	f(x)=((2x+3)^4)/((3x-2)^5)	$f (x) = \frac{{(2 x + 3)}^{4}}{{(3 x - 2)}^{5}}$
64244	Ermittle die Ableitung - d/d@VAR	f(x)=4 logaritmo natural de x	$f (x) = 4 \ln (x)$
64245	Ermittle die Ableitung - d/d@VAR	f(x)=3x+8	$f (x) = 3 x + 8$
64246	Ermittle die Ableitung - d/d@VAR	f(x)=6x^5(7-x)^6	$f (x) = 6 x^{5} {(7 - x)}^{6}$
64247	Ermittle die Ableitung - d/d@VAR	f(x)=-8e^x+5x-4	$f (x) = - 8 e^{x} + 5 x - 4$
64248	Ermittle die Ableitung - d/d@VAR	f(x)=6x^3-9x+4	$f (x) = 6 x^{3} - 9 x + 4$
64249	Ermittle die Ableitung - d/d@VAR	f(x)=5^(x^3)	$f (x) = 5^{x^{3}}$
64250	Ermittle die Ableitung - d/d@VAR	f(x)=3sin(x)+2x^x	$f (x) = 3 \sin (x) + 2 x^{x}$
64251	Ermittle die Ableitung - d/d@VAR	f(x)=3x^2+2cos(x)-4e^(4x)+pi	$f (x) = 3 x^{2} + 2 \cos (x) - 4 e^{4 x} + π$
64252	Ermittle die Ableitung - d/d@VAR	f(x)=3+\|x-2\|	$f (x) = 3 + \| x - 2 \|$
64253	Ermittle die Ableitung - d/d@VAR	f(x)=3e^(-7x)	$f (x) = 3 e^{- 7 x}$
64254	Ermittle die Ableitung - d/d@VAR	f(x)=11xe^x	$f (x) = 11 x e^{x}$
64255	Ermittle die Ableitung - d/d@VAR	f(x)=2sin( raiz quadrada de x)^4	$f (x) = 2 \sin^{4} (\sqrt{x})$
64256	Ermittle die Ableitung - d/d@VAR	f(x)=2x^2-4x+3	$f (x) = 2 x^{2} - 4 x + 3$
64257	Ermittle die Ableitung - d/d@VAR	f(x)=e^xsin(x)	$f (x) = e^{x} \sin (x)$
64258	Ermittle die Ableitung - d/d@VAR	f(x)=e^(-18x)	$f (x) = e^{- 18 x}$
64259	Ermittle die Ableitung - d/d@VAR	f(x)=e^(-3x)sin(2x)	$f (x) = e^{- 3 x} \sin (2 x)$
64260	Ermittle die Ableitung - d/d@VAR	f(x) = natural log of 10x+5	$f (x) = \ln (10 x + 5)$
64261	Ermittle die Ableitung - d/d@VAR	f(x)=arcsec(6x)	$f (x) = arcsec (6 x)$
64262	Ermittle die Ableitung - d/d@VAR	f(x)=-8x^3	$f (x) = - 8 x^{3}$
64263	Ermittle die Ableitung - d/d@VAR	f(x)=8x+5	$f (x) = 8 x + 5$
64264	Ermittle die Ableitung - d/d@VAR	f(x)=e^(11x)	$f (x) = e^{11 x}$
64265	Ermittle die Ableitung - d/d@VAR	f(x)=arcsin(5x)+arccos(5x)	$f (x) = \arcsin (5 x) + \arccos (5 x)$
64266	Ermittle die Ableitung - d/d@VAR	f(x)=x raiz quadrada de x+2	$f (x) = x \sqrt{x + 2}$
64267	Ermittle die Ableitung - d/d@VAR	f(x)=x^12h(x)	$f (x) = x^{12} h (x)$
64268	Ermittle die Ableitung - d/d@VAR	f(x)=sin(x)+cos(x)	$f (x) = \sin (x) + \cos (x)$
64269	Ermittle die Ableitung - d/d@VAR	f(x) = logaritmo natural do logaritmo natural de 7x	$f (x) = \ln (\ln (7 x))$
64270	Ermittle die Ableitung - d/d@VAR	f(x)=-4/x	$f (x) = \frac{- 4}{x}$
64271	Ermittle die Ableitung - d/d@VAR	f(x)=(9x^6+4x^3)^4	$f (x) = {(9 x^{6} + 4 x^{3})}^{4}$
64272	Ermittle die Ableitung - d/d@VAR	f(x)=(6x-8)/(x-8)	$f (x) = \frac{6 x - 8}{x - 8}$
64273	Ermittle die Ableitung - d/d@VAR	f(x)=(e^x)/(1+x^2)	$f (x) = \frac{e^{x}}{1 + x^{2}}$
64274	Ermittle die Ableitung - d/d@VAR	f(x)=(tan(x)-1)/(sec(x))	$f (x) = \frac{\tan (x) - 1}{\sec (x)}$
64275	Ermittle die Ableitung - d/d@VAR	f(x)=sin(3x)^2	$f (x) = \sin^{2} (3 x)$
64276	Ermittle die Ableitung - d/d@VAR	f(x) = square root of x^2-4	$f (x) = \sqrt{x^{2} - 4}$
64277	Ermittle die Ableitung - d/d@VAR	f(x) = square root of 6x-3	$f (x) = \sqrt{6 x - 3}$
64278	Ermittle die Ableitung - d/d@VAR	f(x)=(x-2)^(4/5)	$f (x) = {(x - 2)}^{\frac{4}{5}}$
64279	Ermittle die Ableitung - d/d@VAR	f(x)=cos((x^2+1)^2)	$f (x) = \cos ({(x^{2} + 1)}^{2})$
64280	Ermittle die Ableitung - d/d@VAR	f(x)=cos(3x)	$f (x) = \cos (3 x)$
64281	Ermittle die Ableitung - d/d@VAR	f(x) = natural log of 2x^3+4x-1	$f (x) = \ln (2 x^{3} + 4 x - 1)$
64282	Ermittle die Ableitung - d/dy	y raiz quadrada de x+1=4	$y \sqrt{x + 1} = 4$
64283	Ermittle die Ableitung - d/dy	3x^4-2y^3+5x^2-2xy	$3 x^{4} - 2 y^{3} + 5 x^{2} - 2 x y$
64284	Ermittle die Ableitung - d/dy	2x^2y	$2 x^{2} y$
64285	Ermittle die Ableitung - d/dy	e^(15xy)	$e^{15 x y}$
64286	Ermittle die Ableitung - d/d@VAR	g(r) = raiz quadrada de r+ raiz oitava de r	$g (r) = \sqrt{r} + \sqrt[8]{r}$
64287	Ermittle die Ableitung - d/d@VAR	g(t)=(e^(-t)+e^t)^3	$g (t) = {(e^{- t} + e^{t})}^{3}$
64288	Ermittle die Ableitung - d/d@VAR	g(t)=8 raiz quadrada de t	$g (t) = 8 \sqrt{t}$
64289	Ermittle die Ableitung - d/d@VAR	g(t)=12 raiz quadrada de t	$g (t) = 12 \sqrt{t}$
64290	Ermittle die Ableitung - d/d@VAR	f(z)=e^(z/(z-8))	$f (z) = e^{\frac{z}{(z - 8)}}$
64291	Ermittle die Ableitung - d/d@VAR	f(x)=x^5-4x^3+x-1	$f (x) = x^{5} - 4 x^{3} + x - 1$
64292	Ermittle die Ableitung - d/d@VAR	f(x)=x^9 logaritmo natural de x	$f (x) = x^{9} \ln (x)$
64293	Ermittle die Ableitung - d/d@VAR	f(x)=x+ raiz quadrada de x+5	$f (x) = x + \sqrt{x} + 5$
64294	Ermittle die Ableitung - d/d@VAR	f(x)=x+ raiz quadrada de x+7	$f (x) = x + \sqrt{x} + 7$
64295	Ermittle die Ableitung - d/d@VAR	f(x)=x^(3x)	$f (x) = x^{3 x}$
64296	Ermittle die Ableitung - d/d@VAR	f(x)=x^4-20x^2+64	$f (x) = x^{4} - 20 x^{2} + 64$
64297	Ermittle die Ableitung - d/d@VAR	f(x)=-x^2+8x-5	$f (x) = - x^{2} + 8 x - 5$
64298	Ermittle die Ableitung - d/d@VAR	f(x)=x^3-6x	$f (x) = x^{3} - 6 x$
64299	Ermittle die Ableitung - d/d@VAR	f(x)=x^3-15x^2+72x	$f (x) = x^{3} - 15 x^{2} + 72 x$
64300	Ermittle die Ableitung - d/d@VAR	f(x)=x^3-2x	$f (x) = x^{3} - 2 x$