Mathway | Problèmes fréquents

Problèmes fréquents

Rang	Matière	Problème	Problème de formatage
16301	Encontre a Derivada - d/d@VAR	f(x)=2-x^3	$f (x) = 2 - x^{3}$
16302	Évaluer à l'aide de la règle de l'Hôpital	limite lorsque x approche de 0 de (e^(9x)-1-9x)/(x^2)	$lim_{x \to 0} \frac{e^{9 x} - 1 - 9 x}{x^{2}}$
16303	Encontre a Derivada - d/d@VAR	f(x)=2x^5	$f (x) = 2 x^{5}$
16304	Encontre dz/dt	z=(4-t)(9+t^2)^-1	$z = (4 - t) {(9 + t^{2})}^{- 1}$
16305	Encontre a Derivada - d/d@VAR	f(x)=2x^2-3x+1	$f (x) = 2 x^{2} - 3 x + 1$
16306	Encontre dy/dx	y=9x^-7-6x^-1	$y = 9 x^{- 7} - 6 x^{- 1}$
16307	Encontre a Derivada - d/d@VAR	f(x)=1-cos(x)	$f (x) = 1 - \cos (x)$
16308	Encontre a Derivada - d/d@VAR	f(x)=2 racine carrée de 25-x^2	$f (x) = 2 \sqrt{25 - x^{2}}$
16309	Encontre a Derivada - d/d@VAR	f(x)=2 racine carrée de x+3e^x	$f (x) = 2 \sqrt{x} + 3 e^{x}$
16310	Encontre a Derivada - d/d@VAR	f(x)=2x^2+7x- logarithme népérien de x^2+1	$f (x) = 2 x^{2} + 7 x - \ln (x^{2} + 1)$
16311	Évaluer la limite	limite lorsque x approche de 5 de (x^2-9x+20)/(x-5)	$lim_{x \to 5} \frac{x^{2} - 9 x + 20}{x - 5}$
16312	Encontre a Derivada - d/d@VAR	f(x)=2x^3+3t^2-4t+1000	$f (x) = 2 x^{3} + 3 t^{2} - 4 t + 1000$
16313	Encontre a Derivada - d/d@VAR	f(x)=2x^3-x^4	$f (x) = 2 x^{3} - x^{4}$
16314	Encontre a Derivada - d/d@VAR	f(x)=2x^3+42x^2+270x+9	$f (x) = 2 x^{3} + 42 x^{2} + 270 x + 9$
16315	Encontre a Derivada - d/d@VAR	f(x)=-2x^3+5	$f (x) = - 2 x^{3} + 5$
16316	Encontre a Derivada - d/d@VAR	f(x)=2x-5	$f (x) = 2 x - 5$
16317	Évaluer la limite	limite lorsque x approche de -4 de (8x^2+40x+32)/(x+4)	$lim_{x \to - 4} \frac{8 x^{2} + 40 x + 32}{x + 4}$
16318	Encontre a Derivada - d/d@VAR	f(x)=2x-pi+cos(x)	$f (x) = 2 x - π + \cos (x)$
16319	Évaluer la limite	limite lorsque x approche de 3 de (x-3)/( racine carrée de x-2- racine carrée de 4-x)	$lim_{x \to 3} \frac{x - 3}{\sqrt{x - 2} - \sqrt{4 - x}}$
16320	Encontre a Derivada - d/d@VAR	f(x)=2x^4-8x	$f (x) = 2 x^{4} - 8 x$
16321	Encontre a Derivada - d/d@VAR	f(x)=2sin(3x^2-2)	$f (x) = 2 \sin (3 x^{2} - 2)$
16322	Encontre a Derivada - d/d@VAR	f(x)=2sin(4x)	$f (x) = 2 \sin (4 x)$
16323	Encontre a Derivada - d/d@VAR	f(x)=2t	$f (x) = 2 t$
16324	Encontre a Derivada - d/d@VAR	f(x)=3x^2-3	$f (x) = 3 x^{2} - 3$
16325	Encontre a Derivada - d/d@VAR	f(x)=3x^3-4x^4	$f (x) = 3 x^{3} - 4 x^{4}$
16326	Encontre a Derivada - d/d@VAR	f(x)=3x^2-84x	$f (x) = 3 x^{2} - 84 x$
16327	Encontre a Derivada - d/d@VAR	f(x)=3x^3-2x^2+7	$f (x) = 3 x^{3} - 2 x^{2} + 7$
16328	Encontre a Derivada - d/d@VAR	f(x)=3x^2- logarithme népérien de x	$f (x) = 3 x^{2} - \ln (x)$
16329	Évaluer la limite	limite lorsque x approche de -5 de f(x)	$lim_{x \to - 5} f (x)$
16330	Encontre a Derivada - d/d@VAR	f(x)=3t^2sin(t)	$f (x) = 3 t^{2} \sin (t)$
16331	Encontre a Derivada - d/d@VAR	f(x)=2x racine carrée de x	$f (x) = 2 x \sqrt{x}$
16332	Évaluer la limite	limite lorsque x approche de 0 de (sin(2x))/(5x)	$lim_{x \to 0} \frac{\sin (2 x)}{5 x}$
16333	Encontre a Derivada - d/d@VAR	f(x)=5/(6x)	$f (x) = \frac{5}{6 x}$
16334	Encontre a Derivada - d/d@VAR	f(x)=-5/(x^3)	$f (x) = \frac{- 5}{x^{3}}$
16335	Encontre a Derivada - d/d@VAR	f(x)=(5(1-sin(x)))/(2cos(x))	$f (x) = \frac{5 (1 - \sin (x))}{2 \cos (x)}$
16336	Encontre a Derivada - d/d@VAR	f(x)=(4t)/(3 racine carrée de t-2)	$f (x) = \frac{4 t}{3 \sqrt{t - 2}}$
16337	Encontre a Derivada - d/d@VAR	f(x)=(40t^2)/(t^2+150)	$f (x) = \frac{40 t^{2}}{t^{2} + 150}$
16338	Encontre a Derivada - d/d@VAR	f(x)=3/(x+2)- racine carrée de x-3	$f (x) = \frac{3}{x + 2} - \sqrt{x - 3}$
16339	Encontre a Derivada - d/d@VAR	f(x)=360/(1+11000e^(-2.3x))	$f (x) = \frac{360}{1 + 11000 e^{- 2.3 x}}$
16340	Encontre a Derivada - d/d@VAR	f(x)=(3x-1)/(2x+1)	$f (x) = \frac{3 x - 1}{2 x + 1}$
16341	Encontre a Derivada - d/d@VAR	f(x)=(3x-6)/(x+1)	$f (x) = \frac{3 x - 6}{x + 1}$
16342	Encontre a Derivada - d/d@VAR	f(x)=4/( racine carrée de x)-5/x+8/(x^4)	$f (x) = \frac{4}{\sqrt{x}} - \frac{5}{x} + \frac{8}{x^{4}}$
16343	Encontre a Derivada - d/d@VAR	f(x)=3^xsin(x)	$f (x) = 3^{x} \sin (x)$
16344	Encontre a Derivada - d/d@VAR	f(x)=(3x-4)/(x^2+1)	$f (x) = \frac{3 x - 4}{x^{2} + 1}$
16345	Encontre a Derivada - d/d@VAR	f(x)=4/(7x^3)	$f (x) = \frac{4}{7 x^{3}}$
16346	Encontre a Derivada - d/dx	12	$12$
16347	Encontre a Derivada - d/d@VAR	f(x)=2/3x^6	$f (x) = \frac{2}{3} x^{6}$
16348	Encontre a Derivada - d/dx	racine carrée de 1+3x	$\sqrt{1 + 3 x}$
16349	Encontre a Derivada - d/d@VAR	f(x)=(2 logarithme népérien de 5*5^-3)/7-(3(5)^-3)/7	$f (x) = \frac{2 \ln (5) \cdot 5^{- 3}}{7} - \frac{3 {(5)}^{- 3}}{7}$
16350	Encontre a Derivada - d/d@VAR	f(x) = square root of xsin(x)	$f (x) = \sqrt{x} \sin (x)$
16351	Encontre a Derivada - d/d@VAR	f(x)=(2sin(x))/(3+cos(x))	$f (x) = \frac{2 \sin (x)}{3 + \cos (x)}$
16352	Encontre a Derivada - d/d@VAR	f(x)=5x^5 logarithme népérien de x	$f (x) = 5 x^{5} \ln (x)$
16353	Encontre a Derivada - d/d@VAR	f(x)=sec(2x^2)^4	$f (x) = \sec^{4} (2 x^{2})$
16354	Encontre a Derivada - d/d@VAR	f(x)=3/2x^2	$f (x) = \frac{3}{2} x^{2}$
16355	Encontre a Derivada - d/d@VAR	f(x)=3/(x-4)	$f (x) = \frac{3}{x - 4}$
16356	Encontre a Derivada - d/d@VAR	f(x)=(8x-9)/(6x^2+1)	$f (x) = \frac{8 x - 9}{6 x^{2} + 1}$
16357	Resolva para t	27/16=t^2	$\frac{27}{16} = t^{2}$
16358	Resolva para x	logarithme népérien de (x^2)/(1-x) = logarithme népérien de x+ logarithme népérien de (2x)/(1+x)	$\ln (\frac{x^{2}}{1 - x}) = \ln (x) + \ln (\frac{2 x}{1 + x})$
16359	Encontre a Derivada - d/d@VAR	f(x)=a^(5x)	$f (x) = a^{5 x}$
16360	Encontre a Derivada - d/d@VAR	f(x)=(7x-4)/(x-4)	$f (x) = \frac{7 x - 4}{x - 4}$
16361	Encontre a Derivada - d/d@VAR	f(x)=(7t)/(t^2+1)	$f (x) = \frac{7 t}{t^{2} + 1}$
16362	Encontre a Derivada - d/d@VAR	f(x)=8/( racine carrée de 4-x)	$f (x) = \frac{8}{\sqrt{4 - x}}$
16363	Trouver les points d'inflexion	(x+1)^2(2x-x^2)	${(x + 1)}^{2} (2 x - x^{2})$
16364	Encontre a Derivada - d/d@VAR	f(x)=7^(sin(x))	$f (x) = 7^{\sin (x)}$
16365	Encontre a Derivada - d/d@VAR	f(x)=(703(128))/(x^2)	$f (x) = \frac{703 (128)}{x^{2}}$
16366	Encontre a Derivada - d/d@VAR	f(x)=6/(7x^2)	$f (x) = \frac{6}{7 x^{2}}$
16367	Encontre a Derivada - d/d@VAR	f(x)=6/(x^3)+5x^3	$f (x) = \frac{6}{x^{3}} + 5 x^{3}$
16368	Encontre a Derivada - d/d@VAR	f(x)=e^(-1/x)	$f (x) = e^{\frac{- 1}{x}}$
16369	Encontre a Derivada - d/d@VAR	f(x)=cx^2+6x^-2	$f (x) = c x^{2} + 6 x^{- 2}$
16370	Encontre a Derivada - d/d@VAR	f(x)=e^(1/(7x))	$f (x) = e^{\frac{1}{7 x}}$
16371	Encontre a Derivada - d/d@VAR	f(x)=e^(-1/(x^2))	$f (x) = e^{- \frac{1}{x^{2}}}$
16372	Encontre a Derivada - d/d@VAR	f(x)=e^(cos(x)^5)	$f (x) = e^{\cos^{5} (x)}$
16373	Encontre a Derivada - d/d@VAR	f(x)=e^( racine carrée de 5x+2)	$f (x) = e^{\sqrt{5 x + 2}}$
16374	Trouver les points critiques	4x^3-12x	$4 x^{3} - 12 x$
16375	Encontre a Derivada - d/d@VAR	f(x)=(cos(x))/(x^5)	$f (x) = \frac{\cos (x)}{x^{5}}$
16376	Encontre a Derivada - d/d@VAR	f(x)=cos(7x+2)^2	$f (x) = \cos^{2} (7 x + 2)$
16377	Trouver le maximum et le minimum absolus sur l’intervalle	f(x)=3x^3-3x^2-3x+2 , [-1,0]	$f (x) = 3 x^{3} - 3 x^{2} - 3 x + 2$ , $[- 1, 0]$
16378	Resolva para x	4x^3-12x^2=0	$4 x^{3} - 12 x^{2} = 0$
16379	Encontre a Derivada - d/d@VAR	f(x)=cos(1+3x)^2	$f (x) = \cos^{2} (1 + 3 x)$
16380	Encontre a Derivada - d/d@VAR	f(x)=cos(4x)^2	$f (x) = \cos^{2} (4 x)$
16381	Encontre a Derivada - d/d@VAR	f(x)=e^9	$f (x) = e^{9}$
16382	Encontre a Derivada - d/d@VAR	f(x)=e^(-7x)+2x+10	$f (x) = e^{- 7 x} + 2 x + 10$
16383	Encontre a Derivada - d/d@VAR	f(x) = square root of 3	$f (x) = \sqrt{3}$
16384	Encontre a Derivada - d/d@VAR	f(x)=e^(4x^2)	$f (x) = e^{4 x^{2}}$
16385	Encontre a Derivada - d/d@VAR	f(x)=e^(3x+1)	$f (x) = e^{3 x + 1}$
16386	Encontre a Derivada - d/d@VAR	f(x)=e^(-2x) logarithme népérien de x	$f (x) = e^{- 2 x} \ln (x)$
16387	Encontre a Derivada - d/d@VAR	f(x)=e^(-2x)sin(5x)	$f (x) = e^{- 2 x} \sin (5 x)$
16388	Encontre a Derivada - d/dx	2x-6	$2 x - 6$
16389	Encontre a Derivada - d/d@VAR	f(x)=e^(10x)	$f (x) = e^{10 x}$
16390	Encontre a Derivada - d/dx	x/(sin(x))	$\frac{x}{\sin (x)}$
16391	Encontre a Derivada - d/d@VAR	f(x)=e^(x^2-9)	$f (x) = e^{x^{2} - 9}$
16392	Encontre a Derivada - d/d@VAR	f(x)=e^(x^3)	$f (x) = e^{x^{3}}$
16393	Encontre a Derivada - d/d@VAR	f(x)=e^(x^3+3x)	$f (x) = e^{x^{3} + 3 x}$
16394	Encontre a Derivada - d/d@VAR	f(x)=\|x^2-9\|	$f (x) = \| x^{2} - 9 \|$
16395	Encontre a Derivada - d/d@VAR	f(x)=\|x^2-4\|	$f (x) = \| x^{2} - 4 \|$
16396	Évaluer la limite	limite lorsque t approche de 1 de (1-t)/(1- racine carrée de t)	$lim_{t \to 1} \frac{1 - t}{1 - \sqrt{t}}$
16397	Encontre a Derivada - d/d@VAR	f(x)=(x^3-4x^2+3)/x	$f (x) = \frac{x^{3} - 4 x^{2} + 3}{x}$
16398	Encontre a Derivada - d/d@VAR	f(x)=(x^5-5x)/5	$f (x) = \frac{x^{5} - 5 x}{5}$
16399	Encontre a Derivada - d/d@VAR	f(x)=1/(x^2-4)	$f (x) = \frac{1}{x^{2} - 4}$
16400	Évaluer la limite	limite lorsque t approche de 0 de ( racine carrée de 1+t- racine carrée de 1-t)/t	$lim_{t \to 0} \frac{\sqrt{1 + t} - \sqrt{1 - t}}{t}$