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Problemas populares

Classificação	Tópico	Problema	Problema formatado
8001	Ermittle dy/dx	y=e^(-5x^9)	$y = e^{- 5 x^{9}}$
8002	Ermittle dy/dx	y=e^x	$y = e^{x}$
8003	Ermittle dy/dx	y=e^xsin(x)	$y = e^{x} \sin (x)$
8004	Ermittle dy/dx	y=e^(x/4)	$y = e^{\frac{x}{4}}$
8005	Ermittle dy/dx	y=e^(x/5)	$y = e^{\frac{x}{5}}$
8006	Ermittle dy/dx	y=1/(x+1)	$y = \frac{1}{x + 1}$
8007	Ermittle dy/dx	y=7^(sec(x))+ logaritmo natural de x^3	$y = 7^{\sec (x)} + \ln (x^{3})$
8008	Ermittle dy/dx	y=((x+1)(x-8))/((x-1)(x+8))	$y = \frac{(x + 1) (x - 8)}{(x - 1) (x + 8)}$
8009	Ermittle dy/dx	y=((x-7)(x^2+4x))/(x^3)	$y = \frac{(x - 7) (x^{2} + 4 x)}{x^{3}}$
8010	Ermittle dy/dx	y=(4x^3+5)^(3/2)	$y = {(4 x^{3} + 5)}^{\frac{3}{2}}$
8011	Ermittle dy/dx	y=(4x+3)^5	$y = {(4 x + 3)}^{5}$
8012	Ermittle dy/dx	y=(6x^3+7)^(3/2)	$y = {(6 x^{3} + 7)}^{\frac{3}{2}}$
8013	Ermittle dy/dx	y=(x/3.4+3.4/x)(x^2+1)	$y = (\frac{x}{3.4} + \frac{3.4}{x}) (x^{2} + 1)$
8014	Ermittle dy/dx	logaritmo natural de xy-y^2=5	$\ln (x y) - y^{2} = 5$
8015	Ermittle dy/dx	logaritmo natural de y=e^ysin(x)	$\ln (y) = e^{y} \sin (x)$
8016	Ermittle dy/dx	sin(6y)=x	$\sin (6 y) = x$
8017	Ermittle dy/dx	sin(5y)=x	$\sin (5 y) = x$
8018	Ermittle dy/dx	7cos(x)sin(y)=1	$7 \cos (x) \sin (y) = 1$
8019	Ermittle dy/dx	8x^2-y^2=9	$8 x^{2} - y^{2} = 9$
8020	Ermittle dy/dx	cos(5y)=x	$\cos (5 y) = x$
8021	Ermittle dy/dx	cos(x)+ raiz quadrada de y=9	$\cos (x) + \sqrt{y} = 9$
8022	Ermittle dy/dx	arctan(x+y)=y^2+pi/4	$\arctan (x + y) = y^{2} + \frac{π}{4}$
8023	Ermittle dy/dx	cot(y)=4x-5y	$\cot (y) = 4 x - 5 y$
8024	Ermittle dy/dx	xy=36	$x y = 36$
8025	Ermittle dy/dx	x-cos(7y)=0	$x - \cos (7 y) = 0$
8026	Ermittle dy/dx	x=y	$x = y$
8027	Ermittle dy/dx	x+y-1 = natural log of x^2+y^2	$x + y - 1 = \ln (x^{2} + y^{2})$
8028	Avalie o Somatório	(1/3) soma de i=0 a 4 de 5^i	$(\frac{1}{3}) \sum_{i = 0}^{4} {(5)}^{i}$
8029	Ermittle dy/dx	y+3xy-5=0	$y + 3 x y - 5 = 0$
8030	Ermittle dy/dx	y=x^-9	$y = x^{- 9}$
8031	Ermittle dy/dx	y=x^(tan(x))	$y = x^{\tan (x)}$
8032	Ermittle dy/dx	y=(x+y)/(x-y)	$y = \frac{x + y}{x - y}$
8033	Ermittle dy/dx	y=x^(3x)	$y = x^{3 x}$
8034	Ermittle dy/dx	y=2x^2+1	$y = 2 x^{2} + 1$
8035	Ermittle dy/dx	y=3x^2	$y = 3 x^{2}$
8036	Ermittle dy/dx	y=3x^2-5x	$y = 3 x^{2} - 5 x$
8037	Ermittle dy/dx	y=3 logaritmo natural de x-5/(x^4)	$y = 3 \ln (x) - \frac{5}{x^{4}}$
8038	Ermittle dy/dx	y=3x^2-2x	$y = 3 x^{2} - 2 x$
8039	Ermittle dy/dx	y=(4x-6)^2	$y = {(4 x - 6)}^{2}$
8040	Ermittle dy/dx	y = natural log of ((4x^2)/(5x^5+4))^4	$y = \ln ({(\frac{4 x^{2}}{5 x^{5} + 4})}^{4})$
8041	Ermittle dy/dx	y = log base 2 of 4x^3	$y = \log_{2} (4 x^{3})$
8042	Ermittle dy/dx	y = square root of x^2-1	$y = \sqrt{x^{2} - 1}$
8043	Ermittle dy/dx	y = square root of 3x-2	$y = \sqrt{3 x - 2}$
8044	Ermittle dy/dx	y = square root of 6+5x	$y = \sqrt{6 + 5 x}$
8045	Ermittle dy/dx	y=x/(sin(x)+cos(x))	$y = \frac{x}{\sin (x) + \cos (x)}$
8046	Avalie a Integral	integral de 0 a infinity de x^2e^(-x) com relação a x	$\int_{0}^{\infty} x^{2} e^{- x} d x$
8047	Ermittle dy/dx	y=x^2 logaritmo natural de x	$y = x^{2} \ln (x)$
8048	Ermittle dy/dx	y=x^2sin(6x)	$y = x^{2} \sin (6 x)$
8049	Ermittle dy/dx	y=x^2sin(x)^4+xcos(x)^-3	$y = x^{2} \sin^{4} (x) + x \cos^{- 3} (x)$
8050	Ermittle dy/dx	y=csc(5x)	$y = \csc (5 x)$
8051	Ermittle dy/dx	y=tan(e^x)	$y = \tan (e^{x})$
8052	Ermittle dy/dx	y = natural log of 9x^2+5y^2	$y = \ln (9 x^{2} + 5 y^{2})$
8053	Ermittle dy/dx	y=sin(e^x)	$y = \sin (e^{x})$
8054	Ermittle dy/dx	y=sin(1/x)	$y = \sin (\frac{1}{x})$
8055	Ermittle dy/dx	y=5x-3	$y = 5 x - 3$
8056	Ermittle dy/dx	y=7x	$y = 7 x$
8057	Ermittle dy/dx	y=9x	$y = 9 x$
8058	Ermittle dy/dx	y=cos(x+y)	$y = \cos (x + y)$
8059	Ermittle dy/dx	ycos(x)=5x^2+4y^2	$y \cos (x) = 5 x^{2} + 4 y^{2}$
8060	Ermittle dy/dx	y=x-1/95x^3	$y = x - \frac{1}{95} x^{3}$
8061	Ermittle dy/dx	y=( raiz quadrada de x-7)/( raiz quadrada de x+7)	$y = \frac{\sqrt{x} - 7}{\sqrt{x} + 7}$
8062	Ermittle dz/dx	z = square root of x^2+y^2	$z = \sqrt{x^{2} + y^{2}}$
8063	Ermittle die Ableitung - d/dx	y=( logaritmo natural de x)/(x^6)	$y = \frac{\ln (x)}{x^{6}}$
8064	Ermittle die Ableitung - d/dx	y = natural log of (5-x)^6	$y = \ln ({(5 - x)}^{6})$
8065	Ermittle die Ableitung - d/dx	y=e^(-7x)	$y = e^{- 7 x}$
8066	Ermittle die Ableitung - d/dx	y=1/2*e^x-3sin(x)	$y = \frac{1}{2} \cdot e^{x} - 3 \sin (x)$
8067	Ermittle die Ableitung - d/dx	y=e^xcos(x)	$y = e^{x} \cos (x)$
8068	Ermittle die Ableitung - d/dx	y=e^(-18x)	$y = e^{- 18 x}$
8069	Ermittle die Ableitung - d/dx	y=e^(3x)	$y = e^{3 x}$
8070	Ermittle die Ableitung - d/dx	y = square root of sin(x)	$y = \sqrt{\sin (x)}$
8071	Ermittle die Ableitung - d/dx	y=vx : 5x^2+1	$y = v x : 5 x^{2} + 1$
8072	Ermittle die Ableitung - d/dx	y = cube root of x	$y = \sqrt[3]{x}$
8073	Avalie a Integral	integral de 0 a pi/2 de sin(x) com relação a x	$\int_{0}^{\frac{π}{2}} \sin (x) d x$
8074	Ermittle die Ableitung - d/dx	y=x^2arcsin(e^x)	$y = x^{2} \arcsin (e^{x})$
8075	Ermittle die Ableitung - d/dx	y=x^2-3x-4	$y = x^{2} - 3 x - 4$
8076	Ermittle die Ableitung - d/dx	y=x^2sin(2x)	$y = x^{2} \sin (2 x)$
8077	Ermittle die Ableitung - d/dx	y=x^3cos(x)	$y = x^{3} \cos (x)$
8078	Ermittle die Ableitung - d/dx	y=4 raiz quadrada de x	$y = 4 \sqrt{x}$
8079	Ermittle die Ableitung - d/dx	y=4x^-2-3x^-1	$y = 4 x^{- 2} - 3 x^{- 1}$
8080	Ermittle die Ableitung - d/dx	y=4x^2-3x	$y = 4 x^{2} - 3 x$
8081	Ermittle die Ableitung - d/dx	y=4x^2-x	$y = 4 x^{2} - x$
8082	Ermittle die Ableitung - d/dx	y=3x^3	$y = 3 x^{3}$
8083	Ermittle die Ableitung - d/dx	y=4x(5x^2-3x)	$y = 4 x (5 x^{2} - 3 x)$
8084	Ermittle die Ableitung - d/dx	y=xe^(-2x)	$y = x e^{- 2 x}$
8085	Ermittle die Ableitung - d/dx	y=xe^(-kx)	$y = x e^{- k x}$
8086	Ermittle die Ableitung - d/dx	y=x^8e^x	$y = x^{8} e^{x}$
8087	Ermittle die Ableitung - d/dx	y=14 raiz quadrada de x	$y = 14 \sqrt{x}$
8088	Ermittle die Ableitung - d/dx	y=2.0+0.8x-0.20x^2	$y = 2 + 0.8 x - 0.2 x^{2}$
8089	Ermittle die Ableitung - d/dx	y=3x^(-3/2)+2x^(-1/2)+x^3-2	$y = 3 x^{- \frac{3}{2}} + 2 x^{- \frac{1}{2}} + x^{3} - 2$
8090	Ermittle die Ableitung - d/dx	y=2xe^(-x)	$y = 2 x e^{- x}$
8091	Ermittle die Ableitung - d/dx	y=2tan(1/2x)-x	$y = 2 \tan (\frac{1}{2} x) - x$
8092	Ermittle die Ableitung - d/dy	y=(cos(x))/(1-sin(x))	$y = \frac{\cos (x)}{1 - \sin (x)}$
8093	Ermittle die Ableitung - d/dy	y=(cot(x))/(1+cot(x))	$y = \frac{\cot (x)}{1 + \cot (x)}$
8094	Ermittle die Ableitung - d/dy	y=5e^x+4/( raiz cúbica de x)	$y = 5 e^{x} + \frac{4}{\sqrt[3]{x}}$
8095	Subtraia	-1/3-1	$- \frac{1}{3} - 1$
8096	Ermittle die Ableitung - d/dy	y=3e^x+4/( raiz cúbica de x)	$y = 3 e^{x} + \frac{4}{\sqrt[3]{x}}$
8097	Encontre a Reta Tangente Horizontal	y=x^3+6x	$y = x^{3} + 6 x$
8098	Ermittle die Ableitung - d/dy	y = raiz quarta de (2x)/(4x-3)	$y = \sqrt[4]{\frac{2 x}{4 x - 3}}$
8099	Avalie o Limite	limite à medida que a se aproxima de 0 de ( logaritmo natural de 1+a)/a	$lim_{a \to 0} \frac{L N (1 + a)}{a}$
8100	Ermittle die Ableitung - d/dx	y=cos(2x)	$y = \cos (2 x)$