Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
61101	Find the Maximum/Minimum Value	f(x)=4+28x-x^2	$f (x) = 4 + 28 x - x^{2}$
61102	Find the Maximum/Minimum Value	f(x)=3x^3+2x	$f (x) = 3 x^{3} + 2 x$
61103	Find the Maximum/Minimum Value	f(x)=x^2+3x-1	$f (x) = x^{2} + 3 x - 1$
61104	Convert to a Mixed Number	6.25	$6.25$
61105	Solve Using the Quadratic Formula	4x^2+0.1x=0.02	$4 x^{2} + 0.1 x = 0.02$
61106	Find the Inflection Points	f(x)=x square root of 15-x	$f (x) = x \sqrt{15 - x}$
61107	Find the Inflection Points	f(x)=x^5-5x^4	$f (x) = x^{5} - 5 x^{4}$
61108	Find the Inflection Points	f(x)=20e^x-e^(2x)	$f (x) = 20 e^{x} - e^{2 x}$
61109	Find the Inflection Points	f(x) = natural log of x^2+1	$f (x) = \ln (x^{2} + 1)$
61110	Find the Inflection Points	f(x)=3x(x+5)^2	$f (x) = 3 x {(x + 5)}^{2}$
61111	Find the Inflection Points	f(x)=3x^4-4x^3+6	$f (x) = 3 x^{4} - 4 x^{3} + 6$
61112	Find the Inflection Points	f(x)=7 square root of xe^(-x)	$f (x) = 7 \sqrt{x} e^{- x}$
61113	Find the Inflection Points	f(x)=(x-1)^(5/3)	$f (x) = {(x - 1)}^{\frac{5}{3}}$
61114	Find the Inflection Points	f(x)=(x^2-9x+50)/(x-7)	$f (x) = \frac{x^{2} - 9 x + 50}{x - 7}$
61115	Find the Third Derivative	xe^(-2x)	$x e^{- 2 x}$
61116	Find the Directrix	x^2+10x=8y-9	$x^{2} + 10 x = 8 y - 9$
61117	Find the Directrix	x^2+16y=0	$x^{2} + 16 y = 0$
61118	Find the Directrix	x^2-8x-6y-8=0	$x^{2} - 8 x - 6 y - 8 = 0$
61119	Find the Directrix	x^2+8x+4y=0	$x^{2} + 8 x + 4 y = 0$
61120	Find the Local Maxima and Minima	1/2x^4-4x^2+4	$\frac{1}{2} x^{4} - 4 x^{2} + 4$
61121	Find the Local Maxima and Minima	x^2+xy+y^2-28y+261	$x^{2} + x y + y^{2} - 28 y + 261$
61122	Find the Local Maxima and Minima	x square root of 8-x^2	$x \sqrt{8 - x^{2}}$
61123	Find the Local Maxima and Minima	x^3+y^3-9xy	$x^{3} + y^{3} - 9 x y$
61124	Find the Local Maxima and Minima	x^5-5x+5	$x^{5} - 5 x + 5$
61125	Find the Center and Radius	x^2+y^2-16x+2y+65=0	$x^{2} + y^{2} - 16 x + 2 y + 65 = 0$
61126	Find the Maximum/Minimum Value	f(x,y)=18xy-x^3-9y^2	$f (x, y) = 18 x y - x^{3} - 9 y^{2}$
61127	Find the Maximum/Minimum Value	f(x,y)=x^2+xy+y^2-10y+33	$f (x, y) = x^{2} + x y + y^{2} - 10 y + 33$
61128	Find the Maximum/Minimum Value	f(x,y)=x^2+xy+y^2-19y+120	$f (x, y) = x^{2} + x y + y^{2} - 19 y + 120$
61129	Find the Maximum/Minimum Value	f(x,y)=x^3-12xy+8y^3	$f (x, y) = x^{3} - 12 x y + 8 y^{3}$
61130	Find the Local Maxima and Minima	f(x,y)=4xy-x^2y-xy^2	$f (x, y) = 4 x y - x^{2} y - x y^{2}$
61131	Find the Local Maxima and Minima	f(x,y)=6-x^2-5x-y^2	$f (x, y) = 6 - x^{2} - 5 x - y^{2}$
61132	Find the Maximum/Minimum Value	y=x^2-8x+15	$y = x^{2} - 8 x + 15$
61133	Find the Maximum/Minimum Value	y=x^2-2x+2	$y = x^{2} - 2 x + 2$
61134	Find the Maximum/Minimum Value	y=x^3-12x+3	$y = x^{3} - 12 x + 3$
61135	Find the Local Maxima and Minima	y=2x^3-24x-8	$y = 2 x^{3} - 24 x - 8$
61136	Find the Local Maxima and Minima	y=2x^3-18x^2+9	$y = 2 x^{3} - 18 x^{2} + 9$
61137	Find the Local Maxima and Minima	y=(x^2)/(x^2+243)	$y = \frac{x^{2}}{x^{2} + 243}$
61138	Find the Local Maxima and Minima	y=x square root of 64-x^2	$y = x \sqrt{64 - x^{2}}$
61139	Find the Local Maxima and Minima	y=x^3-4x^2-16x+2	$y = x^{3} - 4 x^{2} - 16 x + 2$
61140	Find the Local Maxima and Minima	y=x^3-7x^2-24x+8	$y = x^{3} - 7 x^{2} - 24 x + 8$
61141	Find the Inflection Points	y=e^(-2x^2)	$y = e^{- 2 x^{2}}$
61142	Find the Inflection Points	y=x^3-3x^2-1	$y = x^{3} - 3 x^{2} - 1$
61143	Find the Inflection Points	y=1/12x^4-1/2x^2	$y = \frac{1}{12} x^{4} - \frac{1}{2} x^{2}$
61144	Complete the Square	y^2+6y	$y^{2} + 6 y$
61145	Find the Inflection Points	y=2x- natural log of 2x	$y = 2 x - \ln (2 x)$
61146	Find the Inflection Points	y=-x+sin(2x)	$y = - x + \sin (2 x)$
61147	Find the Inflection Points	y=x^4-4x^2-4	$y = x^{4} - 4 x^{2} - 4$
61148	Find the Inflection Points	y=x^4-4x^3+16x-16	$y = x^{4} - 4 x^{3} + 16 x - 16$
61149	Find the Inflection Points	y=x^3-7x^2-5x+5	$y = x^{3} - 7 x^{2} - 5 x + 5$
61150	Find the Inflection Points	y=x^3-5x^2-8x+7	$y = x^{3} - 5 x^{2} - 8 x + 7$
61151	Find the Inverse	cube root of x-1	$\sqrt[3]{x - 1}$
61152	Find the Inverse	2 square root of x	$2 \sqrt{x}$
61153	Determine if Continuous	f(x)=(x^2+7)/(x^2+x-6)	$f (x) = \frac{x^{2} + 7}{x^{2} + x - 6}$
61154	Solve over the Interval	y=e^(2x) ; [0,2]	$y = e^{2 x}$ ; $[0, 2]$
61155	Solve over the Interval	y=e^(3x) ; [0,2]	$y = e^{3 x}$ ; $[0, 2]$
61156	Expand the Logarithmic Expression	log base b of 32	$\log_{b} (32)$
61157	Expand the Logarithmic Expression	log base b of ( square root of x)/( cube root of z)	$\log_{b} (\frac{\sqrt{x}}{\sqrt[3]{z}})$
61158	Expand the Logarithmic Expression	log of square root of y^3xz^5	$\log (\sqrt{y^{3} x z^{5}})$
61159	Find the Inflection Points	4x^3-6x^2-24x	$4 x^{3} - 6 x^{2} - 24 x$
61160	Find the Inflection Points	2x^3+9x^2+12x	$2 x^{3} + 9 x^{2} + 12 x$
61161	Find the Inflection Points	1/3x^3-7/2x^2+10x-4	$\frac{1}{3} x^{3} - \frac{7}{2} x^{2} + 10 x - 4$
61162	Find the Inflection Points	1/3x^3-x	$\frac{1}{3} x^{3} - x$
61163	Find the Inflection Points	1/x	$\frac{1}{x}$
61164	Find the Inflection Points	cube root of x	$\sqrt[3]{x}$
61165	Find the Inflection Points	(x^3)/(x^2-9)	$\frac{x^{3}}{x^{2} - 9}$
61166	Find the Inflection Points	(x^2)/(x^2-4)	$\frac{x^{2}}{x^{2} - 4}$
61167	Find the Inflection Points	sin(x)+cos(x)	$\sin (x) + \cos (x)$
61168	Find the Inflection Points	x^4-4x^3+6	$x^{4} - 4 x^{3} + 6$
61169	Find the Inflection Points	x^3-9x^2+24x-10	$x^{3} - 9 x^{2} + 24 x - 10$
61170	Find the Inflection Points	x^4+4x^3+6x^2+4x+1	$x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 1$
61171	Find the Inflection Points	x^4-12x^3	$x^{4} - 12 x^{3}$
61172	Add	square root of 5-x+ square root of x^2-9	$\sqrt{5 - x} + \sqrt{x^{2} - 9}$
61173	Convert to Rectangular	r=4cot(theta)csc(theta)	$r = 4 \cot (θ) \csc (θ)$
61174	Find Where Increasing/Decreasing Using Derivatives	8+3x-x^3	$8 + 3 x - x^{3}$
61175	Find Where Increasing/Decreasing Using Derivatives	7sin(x)+7cos(x)	$7 \sin (x) + 7 \cos (x)$
61176	Find Where Increasing/Decreasing Using Derivatives	4x^6-5x^5	$4 x^{6} - 5 x^{5}$
61177	Find Where Increasing/Decreasing Using Derivatives	x^3-27x	$x^{3} - 27 x$
61178	Find Where Increasing/Decreasing Using Derivatives	x square root of 4-x^2	$x \sqrt{4 - x^{2}}$
61179	Convert to Rectangular	r=1/(1-cos(theta))	$r = \frac{1}{1 - \cos (θ)}$
61180	Convert to Rectangular	(3(cos(30 degrees )+isin(30 degrees )))^2	${(3 (\cos (30 °) + i \sin (30 °)))}^{2}$
61181	Convert to Rectangular	(3(cos(30 degrees )+isin(30 degrees )))^6	${(3 (\cos (30 °) + i \sin (30 °)))}^{6}$
61182	Find the Derivative Using Chain Rule - d/dx	y=(5x^2)/( natural log of \|3x\|)	$y = \frac{5 x^{2}}{\ln (\| 3 x \|)}$
61183	Convert to Rectangular	x=t^2 , y=t^7	$x = t^{2}$ , $y = t^{7}$
61184	Solve the System of @WORD	(x-2)(x-5)>40	$(x - 2) (x - 5) > 40$
61185	Find the Mean	8 , 6 , 9 , 12 , 7 , 10 , 8	$8$ , $6$ , $9$ , $12$ , $7$ , $10$ , $8$
61186	Convert to Interval Notation	(x+1)(x-3)^2>0	$(x + 1) {(x - 3)}^{2} > 0$
61187	Find the Domain	natural log of 3-2x+1	$\ln (3 - 2 x) + 1$
61188	Find the Domain	(x^2)/3	$\frac{x^{2}}{3}$
61189	Find the Critical Points	y=x^3-3x+2	$y = x^{3} - 3 x + 2$
61190	Find the Critical Points	y=x^(3/2)-3x^(5/2)	$y = x^{\frac{3}{2}} - 3 x^{\frac{5}{2}}$
61191	Find the Critical Points	y=x^(1/5)-x^(6/5)	$y = x^{\frac{1}{5}} - x^{\frac{6}{5}}$
61192	Find the Critical Points	y=2x square root of 64-x^2	$y = 2 x \sqrt{64 - x^{2}}$
61193	Find dy/dx at (3,1)	2(x^2+y^2)^2=25(x^2-y^2) , (3,1)	$2 {(x^{2} + y^{2})}^{2} = 25 (x^{2} - y^{2})$ , $(3, 1)$
61194	Find the Critical Points	(x+1)^2	${(x + 1)}^{2}$
61195	Find the Critical Points	(3x-4)/(x^2+1)	$\frac{3 x - 4}{x^{2} + 1}$
61196	Find the Critical Points	3x^2-12x+9	$3 x^{2} - 12 x + 9$
61197	Find the Critical Points	3x^2-48	$3 x^{2} - 48$
61198	Find the Critical Points	2x^3-15x^2+36x	$2 x^{3} - 15 x^{2} + 36 x$
61199	Find the Critical Points	15x^4-15x^2	$15 x^{4} - 15 x^{2}$
61200	Find the Critical Points	e^xsin(x)	$e^{x} \sin (x)$