Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
37101	Find the Local Maxima and Minima	f(x)=8x^2+4x-2	$f (x) = 8 x^{2} + 4 x - 2$
37102	Find the Local Maxima and Minima	f(x)=8x^2+78x+240	$f (x) = 8 x^{2} + 78 x + 240$
37103	Find the Local Maxima and Minima	f(x)=8x^2+8sin(2x)	$f (x) = 8 x^{2} + 8 \sin (2 x)$
37104	Find the Local Maxima and Minima	f(x)=6x+7x^-1	$f (x) = 6 x + 7 x^{- 1}$
37105	Find the Local Maxima and Minima	f(x)=6x-2x^3	$f (x) = 6 x - 2 x^{3}$
37106	Find the Local Maxima and Minima	f(x)=6x-24x^-2	$f (x) = 6 x - 24 x^{- 2}$
37107	Find the Local Maxima and Minima	f(x)=6x-4x natural log of x	$f (x) = 6 x - 4 x \ln (x)$
37108	Find the Local Maxima and Minima	f(x)=6x-6	$f (x) = 6 x - 6$
37109	Find the Local Maxima and Minima	f(x)=6x natural log of x	$f (x) = 6 x \ln (x)$
37110	Find the Local Maxima and Minima	f(x)=6xy-x^3-3y^2	$f (x) = 6 x y - x^{3} - 3 y^{2}$
37111	Find the Local Maxima and Minima	f(x)=7.2x^3-153.5x^2+1078x-307	$f (x) = 7.2 x^{3} - 153.5 x^{2} + 1078 x - 307$
37112	Find the Local Maxima and Minima	f(x)=7-2e^x	$f (x) = 7 - 2 e^{x}$
37113	Find the Local Maxima and Minima	f(x)=7e^(3x)+3e^3x	$f (x) = 7 e^{3 x} + 3 e^{3} x$
37114	Find the Local Maxima and Minima	f(x)=7e^x	$f (x) = 7 e^{x}$
37115	Find the Local Maxima and Minima	f(x)=7t^3-4t^2	$f (x) = 7 t^{3} - 4 t^{2}$
37116	Find the Local Maxima and Minima	f(x)=7te^(-t/6)	$f (x) = 7 t e^{- \frac{t}{6}}$
37117	Find the Local Maxima and Minima	f(x)=7x^(2/3)+5	$f (x) = 7 x^{\frac{2}{3}} + 5$
37118	Find the Local Maxima and Minima	f(x)=7x^(2/3)+7	$f (x) = 7 x^{\frac{2}{3}} + 7$
37119	Find the Antiderivative	e^(x^3)	$e^{x^{3}}$
37120	Find the Local Maxima and Minima	f(x)=-7x^-2+16x^-3	$f (x) = - 7 x^{- 2} + 16 x^{- 3}$
37121	Find the Local Maxima and Minima	f(x)=-7x^2+4x-4	$f (x) = - 7 x^{2} + 4 x - 4$
37122	Find the Local Maxima and Minima	f(x)=7x^2-112x+453	$f (x) = 7 x^{2} - 112 x + 453$
37123	Find the Local Maxima and Minima	f(x)=-7x^2-2x-8	$f (x) = - 7 x^{2} - 2 x - 8$
37124	Find the Local Maxima and Minima	f(x)=64x^4+32x^3	$f (x) = 64 x^{4} + 32 x^{3}$
37125	Find the Local Maxima and Minima	f(x)=6-4x-16/x	$f (x) = 6 - 4 x - \frac{16}{x}$
37126	Find the Local Maxima and Minima	f(x)=64x+25/x	$f (x) = 64 x + \frac{25}{x}$
37127	Find the Local Maxima and Minima	f(x)=64x+49/x	$f (x) = 64 x + \frac{49}{x}$
37128	Find the Local Maxima and Minima	f(x)=-6-6x-3x^2	$f (x) = - 6 - 6 x - 3 x^{2}$
37129	Find the Local Maxima and Minima	f(x)=672x-90x^2+4x^3	$f (x) = 672 x - 90 x^{2} + 4 x^{3}$
37130	Find the Local Maxima and Minima	f(x)=6cos(2x)	$f (x) = 6 \cos (2 x)$
37131	Find the Local Maxima and Minima	f(x)=64x^2+54/x-3	$f (x) = 64 x^{2} + \frac{54}{x} - 3$
37132	Find the Local Maxima and Minima	f(x)=64x^3+12x+7	$f (x) = 64 x^{3} + 12 x + 7$
37133	Find the Local Maxima and Minima	f(x)=64x^3-12x+2	$f (x) = 64 x^{3} - 12 x + 2$
37134	Find the Antiderivative	xe^(-x^2)	$x e^{- x^{2}}$
37135	Find the Local Maxima and Minima	f(x)=6+10x-x^2	$f (x) = 6 + 10 x - x^{2}$
37136	Find the Local Maxima and Minima	f(x)=6+12x^2-8x^3	$f (x) = 6 + 12 x^{2} - 8 x^{3}$
37137	Find the Local Maxima and Minima	f(x)=6+2x^2-x^4	$f (x) = 6 + 2 x^{2} - x^{4}$
37138	Find the Local Maxima and Minima	f(x)=6+5x-5x^2	$f (x) = 6 + 5 x - 5 x^{2}$
37139	Find the Local Maxima and Minima	f(x)=6+6e^(-0.1x)	$f (x) = 6 + 6 e^{- 0.1 x}$
37140	Find the Local Maxima and Minima	f(x)=6+9x-3x^2-x^3	$f (x) = 6 + 9 x - 3 x^{2} - x^{3}$
37141	Find the Local Maxima and Minima	f(x)=6+x-x^2	$f (x) = 6 + x - x^{2}$
37142	Find the Local Maxima and Minima	f(x)=600(1-7/(x+1)+14/((x+1)^2))	$f (x) = 600 (1 - \frac{7}{x + 1} + \frac{14}{{(x + 1)}^{2}})$
37143	Find the Local Maxima and Minima	f(x)=600+30x-(0.2x)^2	$f (x) = 600 + 30 x - {(0.2 x)}^{2}$
37144	Find the Local Maxima and Minima	f(x)=600x-1/20x^3	$f (x) = 600 x - \frac{1}{20} x^{3}$
37145	Find the Local Maxima and Minima	f(x)=60x-0.1x^2-(5x+15)	$f (x) = 60 x - 0.1 x^{2} - (5 x + 15)$
37146	Find the Local Maxima and Minima	f(x)=62x^2+27500	$f (x) = 62 x^{2} + 27500$
37147	Find the Local Maxima and Minima	f(x)=6x^3+54x^2+90x	$f (x) = 6 x^{3} + 54 x^{2} + 90 x$
37148	Find the Local Maxima and Minima	f(x)=6x^3+63x^2+180x	$f (x) = 6 x^{3} + 63 x^{2} + 180 x$
37149	Find the Local Maxima and Minima	f(x)=6x^3-12x^2+6x+4	$f (x) = 6 x^{3} - 12 x^{2} + 6 x + 4$
37150	Find the Local Maxima and Minima	f(x)=6x^3-12x^2+6x-7	$f (x) = 6 x^{3} - 12 x^{2} + 6 x - 7$
37151	Find the Local Maxima and Minima	f(x)=6x^3-18x^2+12x-20	$f (x) = 6 x^{3} - 18 x^{2} + 12 x - 20$
37152	Find the Local Maxima and Minima	f(x)=-6x^3-18x^2+144x+90	$f (x) = - 6 x^{3} - 18 x^{2} + 144 x + 90$
37153	Find the Local Maxima and Minima	f(x)=-6x^3-27x^2+72x	$f (x) = - 6 x^{3} - 27 x^{2} + 72 x$
37154	Find the Local Maxima and Minima	f(x)=6x^3-3x^2+4	$f (x) = 6 x^{3} - 3 x^{2} + 4$
37155	Find the Local Maxima and Minima	f(x)=-6x^3-45x^2-72x+54	$f (x) = - 6 x^{3} - 45 x^{2} - 72 x + 54$
37156	Find the Local Maxima and Minima	f(x)=6x^3-63x^2-144x-3	$f (x) = 6 x^{3} - 63 x^{2} - 144 x - 3$
37157	Find the Local Maxima and Minima	f(x)=-6x^3-9x^2+360x-12	$f (x) = - 6 x^{3} - 9 x^{2} + 360 x - 12$
37158	Find the Local Maxima and Minima	f(x)=6x^3-9x^2-216x+2	$f (x) = 6 x^{3} - 9 x^{2} - 216 x + 2$
37159	Find the Local Maxima and Minima	f(x)=6x^3-9x^2-36x	$f (x) = 6 x^{3} - 9 x^{2} - 36 x$
37160	Find the Local Maxima and Minima	f(x)=6x^5-30x^4+36x^3	$f (x) = 6 x^{5} - 30 x^{4} + 36 x^{3}$
37161	Find the Local Maxima and Minima	f(x)=6x^5-75x^4+300x^3-375x^2-1	$f (x) = 6 x^{5} - 75 x^{4} + 300 x^{3} - 375 x^{2} - 1$
37162	Find the Local Maxima and Minima	f(x)=6x^6-7x^5	$f (x) = 6 x^{6} - 7 x^{5}$
37163	Find the Local Maxima and Minima	f(x)=6xe^-0.4	$f (x) = 6 x e^{- 0.4}$
37164	Find the Local Maxima and Minima	f(x)=6x^4-48x^3+108x^2+4	$f (x) = 6 x^{4} - 48 x^{3} + 108 x^{2} + 4$
37165	Find the Local Maxima and Minima	f(x)=6x^5+2x^4+120x^3+40x^2-750x-250	$f (x) = 6 x^{5} + 2 x^{4} + 120 x^{3} + 40 x^{2} - 750 x - 250$
37166	Find the Local Maxima and Minima	f(x)=6x^4-16x^3-111x^2+120x+27	$f (x) = 6 x^{4} - 16 x^{3} - 111 x^{2} + 120 x + 27$
37167	Find the Local Maxima and Minima	f(x)=6x^4-24x^3-93x^2+360x+20	$f (x) = 6 x^{4} - 24 x^{3} - 93 x^{2} + 360 x + 20$
37168	Find the Local Maxima and Minima	f(x)=6x^4-24x^3-93x^2+360x+25	$f (x) = 6 x^{4} - 24 x^{3} - 93 x^{2} + 360 x + 25$
37169	Find the Local Maxima and Minima	f(x)=6x^4-32x^3-27x^2+216x+27	$f (x) = 6 x^{4} - 32 x^{3} - 27 x^{2} + 216 x + 27$
37170	Find the Local Maxima and Minima	210+8x^3+x^4	$210 + 8 x^{3} + x^{4}$
37171	Find the Local Maxima and Minima	f(x)=6x^2-3x^4	$f (x) = 6 x^{2} - 3 x^{4}$
37172	Find the Local Maxima and Minima	f(x)=6x^2-4x^3	$f (x) = 6 x^{2} - 4 x^{3}$
37173	Find the Local Maxima and Minima	f(x)=6x^2-4x-2	$f (x) = 6 x^{2} - 4 x - 2$
37174	Find the Local Maxima and Minima	f(x)=6x^2-54x+108	$f (x) = 6 x^{2} - 54 x + 108$
37175	Find the Local Maxima and Minima	f(x)=5x-10 natural log of x	$f (x) = 5 x - 10 \ln (x)$
37176	Find the Local Maxima and Minima	f(x)=-6x^2-7xy-8y^2+20x-36y+4	$f (x) = - 6 x^{2} - 7 x y - 8 y^{2} + 20 x - 36 y + 4$
37177	Find the Local Maxima and Minima	f(x)=6x^2-8	$f (x) = 6 x^{2} - 8$
37178	Find the Local Maxima and Minima	f(x)=-6x^2-8xy-7y^2-100x-110y+8	$f (x) = - 6 x^{2} - 8 x y - 7 y^{2} - 100 x - 110 y + 8$
37179	Find the Local Maxima and Minima	f(x)=6x^3+18x^2-270x-1	$f (x) = 6 x^{3} + 18 x^{2} - 270 x - 1$
37180	Find the Local Maxima and Minima	f(x)=6x^3+4x^2-6x+7	$f (x) = 6 x^{3} + 4 x^{2} - 6 x + 7$
37181	Find the Local Maxima and Minima	f(x)=6x^3+45x^2-252x+4	$f (x) = 6 x^{3} + 45 x^{2} - 252 x + 4$
37182	Find the Local Maxima and Minima	f(x)=6*e^x	$f (x) = 6 \cdot e^{x}$
37183	Find the Local Maxima and Minima	f(x)=6.9xe^(-0.24t)	$f (x) = 6.9 x e^{- 0.24 t}$
37184	Find the Local Maxima and Minima	f(x)=6.9xe^(-0.24x)	$f (x) = 6.9 x e^{- 0.24 x}$
37185	Find the Local Maxima and Minima	f(x)=-6(3x^2-27)^2+5	$f (x) = - 6 {(3 x^{2} - 27)}^{2} + 5$
37186	Find the Local Maxima and Minima	f(x)=6(x-1)^(2/3)-2(x-1)^2	$f (x) = 6 {(x - 1)}^{\frac{2}{3}} - 2 {(x - 1)}^{2}$
37187	Find the Local Maxima and Minima	f(x)=-6 1/3	$f (x) = - 6 \frac{1}{3}$
37188	Find the Local Maxima and Minima	f(x)=5x^4-20x^3+17	$f (x) = 5 x^{4} - 20 x^{3} + 17$
37189	Find the Local Maxima and Minima	f(x)=5x^4-24x^2+16	$f (x) = 5 x^{4} - 24 x^{2} + 16$
37190	Find the Local Maxima and Minima	f(x)=5x^4-3x^2+5	$f (x) = 5 x^{4} - 3 x^{2} + 5$
37191	Find the Local Maxima and Minima	f(x)=5x+35/x	$f (x) = 5 x + \frac{35}{x}$
37192	Find the Local Maxima and Minima	f(x)=5x+7x^-1	$f (x) = 5 x + 7 x^{- 1}$
37193	Find the Local Maxima and Minima	f(x)=6x^2+12x+6	$f (x) = 6 x^{2} + 12 x + 6$
37194	Find the Local Maxima and Minima	f(x)=6x^2+18x-24	$f (x) = 6 x^{2} + 18 x - 24$
37195	Evaluate	3 log base 8 of 3	$3 \log_{8} (3)$
37196	Find the Local Maxima and Minima	f(x)=-6x^2+96x-8	$f (x) = - 6 x^{2} + 96 x - 8$
37197	Find the Local Maxima and Minima	f(x)=6x^2-10x+6	$f (x) = 6 x^{2} - 10 x + 6$
37198	Find the Local Maxima and Minima	f(x)=-6x^2-12xy+7y^2	$f (x) = - 6 x^{2} - 12 x y + 7 y^{2}$
37199	Find the Local Maxima and Minima	f(x)=6x^2-18x	$f (x) = 6 x^{2} - 18 x$
37200	Find the Local Maxima and Minima	f(x)=6x^(4/3)-3x^(1/3)	$f (x) = 6 x^{\frac{4}{3}} - 3 x^{\frac{1}{3}}$