Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
63101	Find the Local Maxima and Minima	-2x^2-x+4	$- 2 x^{2} - x + 4$
63102	Find the Local Maxima and Minima	12xy-x^3-6y^2	$12 x y - x^{3} - 6 y^{2}$
63103	Find the Local Maxima and Minima	15x^(2/3)-10x	$15 x^{\frac{2}{3}} - 10 x$
63104	Find the Local Maxima and Minima	3x^4-4x^3-12x^2+1	$3 x^{4} - 4 x^{3} - 12 x^{2} + 1$
63105	Find the Local Maxima and Minima	3cos(x)-cos(x)^3	$3 \cos (x) - \cos^{3} (x)$
63106	Find the Local Maxima and Minima	2x-3x^(2/3)	$2 x - 3 x^{\frac{2}{3}}$
63107	Find the Local Maxima and Minima	2x-1-1/x	$2 x - 1 - \frac{1}{x}$
63108	Find the Local Maxima and Minima	7sin(x)+7cos(x)	$7 \sin (x) + 7 \cos (x)$
63109	Find the Local Maxima and Minima	48x-x^3	$48 x - x^{3}$
63110	Find the Local Maxima and Minima	4xy-x^2y-xy^2	$4 x y - x^{2} y - x y^{2}$
63111	Find the Local Maxima and Minima	5x^5-3x^3	$5 x^{5} - 3 x^{3}$
63112	Find the Local Maxima and Minima	5x+1600/x	$5 x + \frac{1600}{x}$
63113	Find the Local Maxima and Minima	4/3x^3+22x^2+96x+7	$\frac{4}{3} x^{3} + 22 x^{2} + 96 x + 7$
63114	Find the Local Maxima and Minima	(x-5)(x+1)(x+5)	$(x - 5) (x + 1) (x + 5)$
63115	Find the Local Maxima and Minima	(x^3)/3-9x	$\frac{x^{3}}{3} - 9 x$
63116	Find the Local Maxima and Minima	1/3x^3-2x^2+3x-4	$\frac{1}{3} x^{3} - 2 x^{2} + 3 x - 4$
63117	Find the Local Maxima and Minima	-x^3+12x^2+60x-300	$- x^{3} + 12 x^{2} + 60 x - 300$
63118	Find the Local Maxima and Minima	x^2e^(-2x)	$x^{2} e^{- 2 x}$
63119	Find the Local Maxima and Minima	x^2+xy+y^2-31y+320	$x^{2} + x y + y^{2} - 31 y + 320$
63120	Find the Local Maxima and Minima	x^2+xy+y^2-34y+385	$x^{2} + x y + y^{2} - 34 y + 385$
63121	Find the Local Maxima and Minima	x^3-6x^2-15x+3	$x^{3} - 6 x^{2} - 15 x + 3$
63122	Find the Local Maxima and Minima	x^3-6x^2-15x+9	$x^{3} - 6 x^{2} - 15 x + 9$
63123	Find the Local Maxima and Minima	-x^3-4.5x^2-6x+2	$- x^{3} - 4.5 x^{2} - 6 x + 2$
63124	Find the Local Maxima and Minima	x^5-5x+2	$x^{5} - 5 x + 2$
63125	Find the Local Maxima and Minima	x^5-5x+3	$x^{5} - 5 x + 3$
63126	Find the Local Maxima and Minima	x^4-4x^2-2	$x^{4} - 4 x^{2} - 2$
63127	Find the Local Maxima and Minima	x^9-3x^7+2	$x^{9} - 3 x^{7} + 2$
63128	Find the Local Maxima and Minima	x^6e^x-3	$x^{6} e^{x} - 3$
63129	Find the Center and Radius	(x+4)^2+(y-6)^2=48	${(x + 4)}^{2} + {(y - 6)}^{2} = 48$
63130	Find the Center and Radius	(x-6)^2+(y-4)^2-64=0	${(x - 6)}^{2} + {(y - 4)}^{2} - 64 = 0$
63131	Find the Center and Radius	4x^2+4y^2+36y+5=0	$4 x^{2} + 4 y^{2} + 36 y + 5 = 0$
63132	Find the Center and Radius	4x^2+4y^2-40x+80y=0	$4 x^{2} + 4 y^{2} - 40 x + 80 y = 0$
63133	Find the Center and Radius	6(x-3)^2+6(y+7)^2=216	$6 {(x - 3)}^{2} + 6 {(y + 7)}^{2} = 216$
63134	Find the Center and Radius	x^2+y^2+2y-35=0	$x^{2} + y^{2} + 2 y - 35 = 0$
63135	Find the Center and Radius	x^2+y^2+4y-21=0	$x^{2} + y^{2} + 4 y - 21 = 0$
63136	Find the Center and Radius	x^2+y^2+4y-45=0	$x^{2} + y^{2} + 4 y - 45 = 0$
63137	Simplify/Condense	1/6( log base 7 of x+ log base 7 of y)-5 log base 7 of x+2	$\frac{1}{6} (\log_{7} (x) + \log_{7} (y)) - 5 \log_{7} (x + 2)$
63138	Simplify/Condense	2/3-2 natural log of 2-(1/3- natural log of 1)	$\frac{2}{3} - 2 \ln (2) - (\frac{1}{3} - \ln (1))$
63139	Find the Eccentricity	((x-2)^2)/16+((y+1)^2)/25=1	$\frac{{(x - 2)}^{2}}{16} + \frac{{(y + 1)}^{2}}{25} = 1$
63140	Solve Using the Quadratic Formula	-x^2+x+9=0	$- x^{2} + x + 9 = 0$
63141	Solve Using the Quadratic Formula	12x^2-88x+121=0	$12 x^{2} - 88 x + 121 = 0$
63142	Solve Using the Quadratic Formula	12x^2-240x+819=0	$12 x^{2} - 240 x + 819 = 0$
63143	Solve Using the Quadratic Formula	12x^2-56x+49=0	$12 x^{2} - 56 x + 49 = 0$
63144	Solve Using the Quadratic Formula	12x^2-168x+405=0	$12 x^{2} - 168 x + 405 = 0$
63145	Find the Maximum/Minimum Value	f(x,y)=x^2+xy+y^2-16y+85	$f (x, y) = x^{2} + x y + y^{2} - 16 y + 85$
63146	Find the Maximum/Minimum Value	f(x,y)=10xy-x^3-5y^2	$f (x, y) = 10 x y - x^{3} - 5 y^{2}$
63147	Find the Maximum/Minimum Value	f(x,y)=2x^2+3xy+4y^2+7x+11y	$f (x, y) = 2 x^{2} + 3 x y + 4 y^{2} + 7 x + 11 y$
63148	Find the Maximum/Minimum Value	y=(x^2)/(x^2+243)	$y = \frac{x^{2}}{x^{2} + 243}$
63149	Find the Maximum/Minimum Value	y=(x-3)^2-5	$y = {(x - 3)}^{2} - 5$
63150	Find the Maximum/Minimum Value	y=2cos(x)	$y = 2 \cos (x)$
63151	Find the Maximum/Minimum Value	y=(8x)/(x^2+1)	$y = \frac{8 x}{x^{2} + 1}$
63152	Find the Local Maxima and Minima	f(x,y)=3x^2-5y^2-30x-40y+16	$f (x, y) = 3 x^{2} - 5 y^{2} - 30 x - 40 y + 16$
63153	Find the Local Maxima and Minima	f(x,y)=x^3+y^3-24xy	$f (x, y) = x^{3} + y^{3} - 24 x y$
63154	Find the Local Maxima and Minima	f(x,y)=x^3+y^3-27xy	$f (x, y) = x^{3} + y^{3} - 27 x y$
63155	Find the Local Maxima and Minima	f(x,y)=x^2+xy+y^2-28y+261	$f (x, y) = x^{2} + x y + y^{2} - 28 y + 261$
63156	Find the Local Maxima and Minima	f(x,y)=x^2+xy+y^2-13y+56	$f (x, y) = x^{2} + x y + y^{2} - 13 y + 56$
63157	Find the Maximum/Minimum Value	y=x^2-x-6	$y = x^{2} - x - 6$
63158	Find the Maximum/Minimum Value	y=f(x)	$y = f (x)$
63159	Find the Maximum/Minimum Value	y=x^2-2x-24	$y = x^{2} - 2 x - 24$
63160	Find the Maximum/Minimum Value	y=x/(x^2+64)	$y = \frac{x}{x^{2} + 64}$
63161	Find the Local Maxima and Minima	f(x,y)=16xy-x^3-8y^2	$f (x, y) = 16 x y - x^{3} - 8 y^{2}$
63162	Find the Maximum/Minimum Value	y=x^3-12x+4	$y = x^{3} - 12 x + 4$
63163	Find the Maximum/Minimum Value	y=x^3-3x+2	$y = x^{3} - 3 x + 2$
63164	Find the Local Maxima and Minima	y = square root of 121-x^2	$y = \sqrt{121 - x^{2}}$
63165	Find the Local Maxima and Minima	y=2x+sin(4x)	$y = 2 x + \sin (4 x)$
63166	Find the Local Maxima and Minima	f(x,y)=x^3+y^3-6xy	$f (x, y) = x^{3} + y^{3} - 6 x y$
63167	Find the Local Maxima and Minima	f(x,y)=x^3-9xy+y^3	$f (x, y) = x^{3} - 9 x y + y^{3}$
63168	Find the Local Maxima and Minima	f(x,y)=xy+y-6x	$f (x, y) = x y + y - 6 x$
63169	Find the Local Maxima and Minima	y=5x- natural log of 5x	$y = 5 x - \ln (5 x)$
63170	Find the Local Maxima and Minima	y=3x^3-36x-2	$y = 3 x^{3} - 36 x - 2$
63171	Find the Local Maxima and Minima	y=4 square root of 3x+8cos(x)	$y = 4 \sqrt{3} x + 8 \cos (x)$
63172	Find the Local Maxima and Minima	y=3x^4-4x^3	$y = 3 x^{4} - 4 x^{3}$
63173	Find the Local Maxima and Minima	y=x square root of 1-x^2	$y = x \sqrt{1 - x^{2}}$
63174	Find the Local Maxima and Minima	y=x(x/2-5)^4	$y = x {(\frac{x}{2} - 5)}^{4}$
63175	Find the Local Maxima and Minima	y=x^(2/3)(x-1)	$y = x^{\frac{2}{3}} (x - 1)$
63176	Find the Local Maxima and Minima	y=x^3-4x^2-3x+3	$y = x^{3} - 4 x^{2} - 3 x + 3$
63177	Find the Local Maxima and Minima	y=x^3-7x^2-5x+2	$y = x^{3} - 7 x^{2} - 5 x + 2$
63178	Find the Local Maxima and Minima	y=x-3x^(1/3)	$y = x - 3 x^{\frac{1}{3}}$
63179	Find the Local Maxima and Minima	y=x^4-8x^3+16x^2	$y = x^{4} - 8 x^{3} + 16 x^{2}$
63180	Find Where Increasing/Decreasing	f(x) = cube root of x	$f (x) = \sqrt[3]{x}$
63181	Find Where Increasing/Decreasing	f(x) = square root of x	$f (x) = \sqrt{x}$
63182	Find Where Increasing/Decreasing	f(x)=2x^2+3	$f (x) = 2 x^{2} + 3$
63183	Find Where Increasing/Decreasing	f(x)=6x^3+5	$f (x) = 6 x^{3} + 5$
63184	Find Where Increasing/Decreasing	f(x)=e^(2x)	$f (x) = e^{2 x}$
63185	Find the Critical Points	C(t)=3te^(-1/30t)	$C (t) = 3 t e^{- \frac{1}{30} t}$
63186	Find the Critical Points	f(t)=2cos(t)+sin(2t)	$f (t) = 2 \cos (t) + \sin (2 t)$
63187	Find the Critical Points	f(x)=1/4x^4-3x^3-81/2x^2+729x	$f (x) = \frac{1}{4} x^{4} - 3 x^{3} - \frac{81}{2} x^{2} + 729 x$
63188	Find the Critical Points	f(x)=(x^2-3x-4)/(x-2)	$f (x) = \frac{x^{2} - 3 x - 4}{x - 2}$
63189	Find the Critical Points	f(x)=(x-3)e^x	$f (x) = (x - 3) e^{x}$
63190	Find the Critical Points	f(x)=2x^3-39x^2+180x-6	$f (x) = 2 x^{3} - 39 x^{2} + 180 x - 6$
63191	Find the Critical Points	f(x)=2x^3+3x^2-72x+7	$f (x) = 2 x^{3} + 3 x^{2} - 72 x + 7$
63192	Find the Critical Points	f(x)=2x^3+6x^2-90x+6	$f (x) = 2 x^{3} + 6 x^{2} - 90 x + 6$
63193	Find the Critical Points	f(x)=2x^3+13x^2-60x-3	$f (x) = 2 x^{3} + 13 x^{2} - 60 x - 3$
63194	Find the Critical Points	f(x)=2x^3+3x^2-12x+8	$f (x) = 2 x^{3} + 3 x^{2} - 12 x + 8$
63195	Find the Critical Points	f(x) = square root of x^2-16	$f (x) = \sqrt{x^{2} - 16}$
63196	Find the Critical Points	f(x)=27x-x^3	$f (x) = 27 x - x^{3}$
63197	Find the Critical Points	f(x)=12x^3-27x^2-36x+6	$f (x) = 12 x^{3} - 27 x^{2} - 36 x + 6$
63198	Find the Critical Points	f(x)=12x^5-20x^3	$f (x) = 12 x^{5} - 20 x^{3}$
63199	Find the Critical Points	f(x)=4x^3-51x^2-180x+11	$f (x) = 4 x^{3} - 51 x^{2} - 180 x + 11$
63200	Find the Critical Points	f(x)=4x+5	$f (x) = 4 x + 5$