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Problemas populares

Classificação	Tópico	Problema	Problema formatado
70701	Ermittle die Ableitung - d/dx	-2cot(x)+6x^4csc(x)	$- 2 \cot (x) + 6 x^{4} \csc (x)$
70702	Ermittle dy/dx	y=x^3 raiz quadrada de x+1	$y = x^{3} \sqrt{x + 1}$
70703	Avalie o Limite	limite à medida que x aproxima 1/2 de xsec(pix)	$lim_{x \to \frac{1}{2}} x \sec (π x)$
70704	Ermittle dy/dx	y=(x^3)/3-x	$y = \frac{x^{3}}{3} - x$
70705	Ermittle die Ableitung - d/dx	raiz cúbica de x-1/( raiz cúbica de x)	$\sqrt[3]{x} - \frac{1}{\sqrt[3]{x}}$
70706	Ermittle die Ableitung - d/dθ	1/theta	$\frac{1}{θ}$
70707	Determina o domínio e a amplitude	f(x)=4x if x<0; -4x if x>=0	$f (x) = {\begin{cases} 4 x & x < 0 \\ - 4 x & x \geq 0 \end{cases}$
70708	Avalie a Integral	integral de ( raiz quadrada de x^3+ raiz cúbica de x^2) com relação a x	$\int (\sqrt{x^{3}} + \sqrt[3]{x^{2}}) d x$
70709	Ermittle die Ableitung - d/dt	t+1/t	$t + \frac{1}{t}$
70710	Avalie a Integral	integral de x raiz quadrada de 1-x^4 com relação a x	$\int x \sqrt{1 - x^{4}} d x$
70711	Determina a monotonia da função	f(x)=(x^3)/3-5x^2+21x+1	$f (x) = \frac{x^{3}}{3} - 5 x^{2} + 21 x + 1$
70712	Determina o centro e o raio	(x-0)^2+(y-0)^2=49	${(x - 0)}^{2} + {(y - 0)}^{2} = 49$
70713	Avalie o Limite	limite à medida que x aproxima infinity de ((4+5x)(2-x))/((2+x)(1-x))	$lim_{x \to \infty} \frac{(4 + 5 x) (2 - x)}{(2 + x) (1 - x)}$
70714	Ermittle die Ableitung - d/dx	raiz quadrada de 49x^-9	$\sqrt{49 x^{- 9}}$
70715	Ermittle dx/dy	xy=6	$x y = 6$
70716	Ermittle die Ableitung - d/dx	y=-7x(8^(-2x))	$y = - 7 x (8^{- 2 x})$
70717	Integre Usando a Substituição Trigonométrica	integral de cos(x)^2 com relação a x	$\int \cos^{2} (x) d x$
70718	Ermittle die Ableitung - d/dx	(x-y)	$(x - y)$
70719	Avalie o Limite	limite à medida que x se aproxima de infinity de (8x-5)/( raiz quadrada de 4x^2+3)	$lim_{x \to \infty} \frac{8 x - 5}{\sqrt{4 x^{2} + 3}}$
70720	Ermittle die Ableitung - d/dx	y = natural log of \|csc(x)\|	$y = \ln (\| \csc (x) \|)$
70721	Avalia utilizando o Teorema de Bolzano-Cauchy	limite à medida que x aproxima infinity de (e^(3x)+5)^(2/x)	$lim_{x \to \infty} {(e^{3 x} + 5)}^{\frac{2}{x}}$
70722	Avalie a Integral	integral de e a infinity de 1/(x( logaritmo natural de x)^3) com relação a x	$\int_{e}^{\infty} \frac{1}{x \ln^{3} (x)} d x$
70723	Determina o domínio e a amplitude	f(x)=-2x-1,x<=2; -x+4,x>2	$f (x) = {\begin{cases} - 2 x - 1, x \leq 2 \\ - x + 4, x > 2 \end{cases}$
70724	Ermittle die Ableitung - d/dx	(2y)/x	$\frac{2 y}{x}$
70725	Ermittle die Ableitung - d/dx	d/(dx)xe^x	$\frac{d}{d x} x e^{x}$
70726	Ermittle die Ableitung - d/dx	(sin(x))/(e^x)	$\frac{(\sin (x))}{e^{x}}$
70727	Ermittle die Ableitung - d/dx	1/(e^(-x))	$\frac{1}{e^{- x}}$
70728	Encontra o integral	f(x)=25-x^2	$f (x) = 25 - x^{2}$
70729	Avalie a Integral	integral de 0 a 1 de 30/(6x^2+7x+1) com relação a x	$\int_{0}^{1} \frac{30}{6 x^{2} + 7 x + 1} d x$
70730	Ermittle die Ableitung - d/dt	raiz quadrada de 1-t^2	$\sqrt{1 - t^{2}}$
70731	Ermittle die Ableitung - d/dx	(x^3)/12+1/x	$\frac{x^{3}}{12} + \frac{1}{x}$
70732	Ermittle dy/dx	y=(5cos(x))/(1+sin(x))	$y = \frac{5 \cos (x)}{1 + \sin (x)}$
70733	Ermittle die Fourth-Ableitung	x^4	$x^{4}$
70734	Encontre a Derivada do Integral	h(x) = integral from 1 to e^x of 9 natural log of t with respect to t	$h (x) = \int_{1}^{e^{x}} 9 \ln (t) d t$
70735	Integre Por Partes	integral de e^(2x) com relação a x	$\int e^{2 x} d x$
70736	Avalie a Integral	integral de -2 a 3 de (-3\|x\|) com relação a x	$\int_{- 2}^{3} (- 3 \| x \|) d x$
70737	Resolve a equação diferencial	y''''=xy^2	$y'' = x y^{2}$
70738	Ermittle die Ableitung - d/du	uv	$u v$
70739	Determina o valor máximo/mínimo	(x^2)/(x^2+3)	$\frac{x^{2}}{x^{2} + 3}$
70740	Avalie o Limite	limite à medida que x aproxima infinity de (x^2-9)/(x(x^2+1))	$lim_{x \to \infty} \frac{x^{2} - 9}{x (x^{2} + 1)}$
70741	Avalie a Integral	integral de [(sin(x))/(cos(x)^2)+x] com relação a x	$\int [\frac{\sin (x)}{\cos^{2} (x)} + x] d x$
70742	Ermittle die Ableitung - d/dx	5e^x-9sin(x)	$5 e^{x} - 9 \sin (x)$
70743	Ermittle die Tangente bei (1,-1)	f(x)=-x^3 at (1,-1)	$f (x) = - x^{3}$ at $(1, - 1)$
70744	Ermittle die Tangente bei x=4	f(x) = square root of x^2+9 , x=4	$f (x) = \sqrt{x^{2} + 9}$ , $x = 4$
70745	Ermittle dy/dx	y = natural log of e^x+xe^x	$y = \ln (e^{x} + x e^{x})$
70746	Ermittle dy/dx	y=(sec(x)+tan(x))(sec(x)-tan(x))	$y = (\sec (x) + \tan (x)) (\sec (x) - \tan (x))$
70747	Ermittle die Second-Ableitung	g(x)=(x^2+4)/(4-x^2)	$g (x) = \frac{x^{2} + 4}{4 - x^{2}}$
70748	Ermittle die Ableitung - d/dx	2^(2^x)	$2^{2^{x}}$
70749	Ermittle die Ableitung - d/dx	y=sin(e^x)	$y = \sin (e^{x})$
70750	Ermittle die Ableitung - d/dx	y=(x^3-3x^2+4)/(x^2)	$y = \frac{x^{3} - 3 x^{2} + 4}{x^{2}}$
70751	Avalie o Limite	limite à medida que x aproxima -2 de x^2+2t-1	$lim_{x \to - 2} x^{2} + 2 t - 1$
70752	Ermittle die Tangente bei P=(π/3,-1)	y=sec(x)-6cos(x) , P=(pi/3,-1)	$y = \sec (x) - 6 \cos (x)$ , $P = (\frac{π}{3}, - 1)$
70753	Avalie a Integral	integral de (-6x+2)(-3x^2+2x+5)^3 com relação a x	$\int (- 6 x + 2) {(- 3 x^{2} + 2 x + 5)}^{3} d x$
70754	Determina o máximo e mínimo absolutos no intervalo dado	P(x)=-x^3+27/2x^2-60x+100 , x>=5	$P (x) = - x^{3} + \frac{27}{2} x^{2} - 60 x + 100$ , $x \geq 5$
70755	Ermittle die Ableitung - d/dx	d/(dx)(5 logaritmo natural de x)	$\frac{d}{d x} (5 \ln (x))$
70756	Ermittle die Tangente bei (3,1)	2(x^2+y^2)^2=25(x^2-y^2) , (3,1)	$2 {(x^{2} + y^{2})}^{2} = 25 (x^{2} - y^{2})$ , $(3, 1)$
70757	Avalia utilizando o Teorema de Bolzano-Cauchy	limite à medida que x se aproxima de 0 da direita de (3x+1)^(cot(x))	$lim_{x \to 0^{+}} {(3 x + 1)}^{\cot (x)}$
70758	Avalie o Limite	limite à medida que x aproxima negative infinity de (e^(-x))/x	$lim_{x \to - \infty} \frac{e^{- x}}{x}$
70759	Ermittle dx/dy	y=x/(e^x)	$y = \frac{x}{e^{x}}$
70760	Determina se é contínua	f(x)=e^x	$f (x) = e^{x}$
70761	Determina o declive	f(x)=3x	$f (x) = 3 x$
70762	Ermittle dy/dx	y^4-4y^2=x^4-9x^2	$y^{4} - 4 y^{2} = x^{4} - 9 x^{2}$
70763	Ermittle dy/dx	y=arctan(3x)	$y = \arctan (3 x)$
70764	Berechne die Ableitung bei a=5	f(x) = square root of 3x+1 , a=5	$f (x) = \sqrt{3 x + 1}$ , $a = 5$
70765	Determina o valor máximo/mínimo	f(x) = square root of x+1	$f (x) = \sqrt{x + 1}$
70766	Resolve a equação diferencial	(dy)/(dx)+3x^2y=x^2	$\frac{d y}{d x} + 3 x^{2} y = x^{2}$
70767	Avalie o Limite	limite à medida que x se aproxima de 10 da raiz quadrada de (10x)/(2x+5)	$lim_{x \to 10} \sqrt{\frac{10 x}{2 x + 5}}$
70768	Ermittle dy/dx	7 logaritmo natural de x^2y^2=6	$7 \ln (x^{2} y^{2}) = 6$
70769	Determina a monotonia da função	x^(1/5)(x+6)	$x^{\frac{1}{5}} (x + 6)$
70770	Ermittle die Ableitung - d/dt	y=6/5-6/5e^(-20t)	$y = \frac{6}{5} - \frac{6}{5} e^{- 20 t}$
70771	Avalie a Integral	integral de (x^2-8)/(8x) com relação a x	$\int \frac{x^{2} - 8}{8 x} d x$
70772	Ermittle die Tangente bei (-2,-8)	y=x^3 , (-2,-8)	$y = x^{3}$ , $(- 2, - 8)$
70773	Ermittle die Ableitung - d/dx	y=pi/x	$y = \frac{π}{x}$
70774	Ermittle dy/dx	y=x^2e^(-2x)	$y = x^{2} e^{- 2 x}$
70775	Ermittle dy/dx	y=x/(3-2x^2)	$y = \frac{x}{3 - 2 x^{2}}$
70776	Ermittle dx/dy	y^2=x	$y^{2} = x$
70777	Determina o valor máximo/mínimo	f(x)=x^5-5x	$f (x) = x^{5} - 5 x$
70778	Determina o centro e o raio	x^2-y^2=16	$x^{2} - y^{2} = 16$
70779	Ermittle die Tangente bei (-3√(3),1)	x^(2/3)+y^(2/3)=4 (-3 raiz quadrada de 3,1)	$x^{\frac{2}{3}} + y^{\frac{2}{3}} = 4$ $(- 3 \sqrt{3}, 1)$
70780	Avalie a Integral	integral de 1 a 32 de x^(-6/5) com relação a x	$\int_{1}^{32} x^{\frac{- 6}{5}} d x$
70781	Ermittle die Ableitung - d/dy	ye^(-x)	$y e^{- x}$
70782	Ermittle die Ableitung - d/dx	y=-2/x	$y = - \frac{2}{x}$
70783	Integre Usando a Substituição u	integral de sin(x)cos(x) com relação a x	$\int \sin (x) \cos (x) d x$
70784	Ermittle dy/dx	y = square root of 1+tan(x)^2	$y = \sqrt{1 + \tan^{2} (x)}$
70785	Ermittle dy/dx	y-x^2+2x=0	$y - x^{2} + 2 x = 0$
70786	Determina se é contínua	f(x)=3x^2,x>=1; Ax-4,x<1	$f (x) = {\begin{cases} 3 x^{2}, x \geq 1 \\ A x - 4, x < 1 \end{cases}$
70787	Avalie a Integral	integral de 13z^3e^z com relação a z	$\int 13 z^{3} e^{z} d z$
70788	Ermittle die Ableitung - d/dx	2x raiz quadrada de xsin(x)	$2 x \sqrt{x} \sin (x)$
70789	Ermittle die Ableitung - d/dx	y=sin(x)*cos(x)	$y = \sin (x) \cdot \cos (x)$
70790	Ermittle dy/dx	y=xarcsin(x)+ raiz quadrada de 1-x^2	$y = x \arcsin (x) + \sqrt{1 - x^{2}}$
70791	Ermittle dy/dx	x^5+y^5=30xy	$x^{5} + y^{5} = 30 x y$
70792	Ermittle die Second-Ableitung	x^n	$x^{n}$
70793	Ermittle dx/dy	y=x^7	$y = x^{7}$
70794	Avalie a Integral	integral de 0 a pi/6 de (sec(theta)tan(theta)) com relação a theta	$\int_{0}^{\frac{π}{6}} (\sec (θ) \tan (θ)) d θ$
70795	Ermittle die Ableitung - d/dx	e^(2x)-e^(-2x)	$e^{2 x} - e^{- 2 x}$
70796	Ermittle die Ableitung - d/dx	y=e^xcos(x^2)	$y = e^{x} \cos (x^{2})$
70797	Avalie o Limite	limite à medida que h aproxima 0 de (13-pi/(h^2))/(5-6/(h^2))	$lim_{h \to 0} \frac{13 - \frac{π}{h^{2}}}{5 - \frac{6}{h^{2}}}$
70798	Ermittle die Ableitung - d/dv	u/v	$\frac{u}{v}$
70799	Ermittle die Ableitung - d/dx	y=arctan(cos(x))	$y = \arctan (\cos (x))$
70800	Avalie a Integral	integral de a a c de f(x) com relação a x	$\int_{a}^{c} f (x) d x$