Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
37201	Evaluate the Limit	limit as x approaches infinity of (5x^2+2x+7)/(3x^2-x-2)	$lim_{x \to \infty} \frac{5 x^{2} + 2 x + 7}{3 x^{2} - x - 2}$
37202	Find the Local Maxima and Minima	f(x)=6sin(x)^2+6sin(x)	$f (x) = 6 \sin^{2} (x) + 6 \sin (x)$
37203	Find the Local Maxima and Minima	f(x)=5x-3x natural log of x	$f (x) = 5 x - 3 x \ln (x)$
37204	Find the Local Maxima and Minima	f(x)=5x-5	$f (x) = 5 x - 5$
37205	Find the Local Maxima and Minima	f(x)=5x-9	$f (x) = 5 x - 9$
37206	Evaluate the Limit	limit as x approaches 0 of ((-7+x)^2-49)/x	$lim_{x \to 0} \frac{{(- 7 + x)}^{2} - 49}{x}$
37207	Find the Local Maxima and Minima	f(x)=5+4x-x^2	$f (x) = 5 + 4 x - x^{2}$
37208	Find the Local Maxima and Minima	f(x)=5+54x-2x^3	$f (x) = 5 + 54 x - 2 x^{3}$
37209	Find the Local Maxima and Minima	f(x)=5+6x^2-4x^3	$f (x) = 5 + 6 x^{2} - 4 x^{3}$
37210	Find the Local Maxima and Minima	f(x)=5+x+x^2-x^3	$f (x) = 5 + x + x^{2} - x^{3}$
37211	Find the Local Maxima and Minima	f(x)=50x^(1/2)-0.5x-500	$f (x) = 50 x^{\frac{1}{2}} - 0.5 x - 500$
37212	Find the Local Maxima and Minima	f(x)=50+40x	$f (x) = 50 + 40 x$
37213	Find the Local Maxima and Minima	f(x)=50+50x-4.7x^2	$f (x) = 50 + 50 x - 4.7 x^{2}$
37214	Find the Local Maxima and Minima	f(x)=(5000x)/(x^2+3)	$f (x) = \frac{5000 x}{x^{2} + 3}$
37215	Find the Local Maxima and Minima	f(x)=500x-0.5*(9.8x^2)	$f (x) = 500 x - 0.5 \cdot (9.8 x^{2})$
37216	Find the Local Maxima and Minima	f(x)=50x-0.1x^2	$f (x) = 50 x - 0.1 x^{2}$
37217	Find the Local Maxima and Minima	f(x)=512x-16x^2	$f (x) = 512 x - 16 x^{2}$
37218	Find the Local Maxima and Minima	f(x)=5-2x^2	$f (x) = 5 - 2 x^{2}$
37219	Find the Local Maxima and Minima	f(x)=520x-0.02x^2-160x+100000	$f (x) = 520 x - 0.02 x^{2} - 160 x + 100000$
37220	Find the Local Maxima and Minima	f(x)=5-3x+x^3	$f (x) = 5 - 3 x + x^{3}$
37221	Find the Local Maxima and Minima	f(x)=5-4x^2	$f (x) = 5 - 4 x^{2}$
37222	Find the Local Maxima and Minima	f(x)=5-4 natural log of x	$f (x) = 5 - 4 \ln (x)$
37223	Find the Local Maxima and Minima	f(x)=5-5x^2	$f (x) = 5 - 5 x^{2}$
37224	Find the Local Maxima and Minima	f(x)=5-6x^2	$f (x) = 5 - 6 x^{2}$
37225	Find the Local Maxima and Minima	f(x)=56x-0.1x^2+10	$f (x) = 56 x - 0.1 x^{2} + 10$
37226	Find the Local Maxima and Minima	f(x)=5-7x^4	$f (x) = 5 - 7 x^{4}$
37227	Find the Local Maxima and Minima	f(x)=5-7x-4x^2	$f (x) = 5 - 7 x - 4 x^{2}$
37228	Find the Local Maxima and Minima	f(x)=5a-3	$f (x) = 5 a - 3$
37229	Find the Local Maxima and Minima	f(x)=-5arctan(x)	$f (x) = - 5 \arctan (x)$
37230	Find the Local Maxima and Minima	f(x)=-5sin(pi/12x+pi/3)+2	$f (x) = - 5 \sin (\frac{π}{12} x + \frac{π}{3}) + 2$
37231	Find the Local Maxima and Minima	f(x)=5sin(x)+5cos(x)	$f (x) = 5 \sin (x) + 5 \cos (x)$
37232	Evaluate the Limit	limit as x approaches 256 of x^(3/4)	$lim_{x \to 256} x^{\frac{3}{4}}$
37233	Find the Local Maxima and Minima	f(x)=5x square root of 16-x^2	$f (x) = 5 x \sqrt{16 - x^{2}}$
37234	Find the Local Maxima and Minima	f(x)=5y^4-40y^2+3x^2-11	$f (x) = 5 y^{4} - 40 y^{2} + 3 x^{2} - 11$
37235	Find the Local Maxima and Minima	f(x)=5+(9+5x)^(2/5)	$f (x) = 5 + {(9 + 5 x)}^{\frac{2}{5}}$
37236	Find the Local Maxima and Minima	f(x)=5+(9+7x)^(2/7)	$f (x) = 5 + {(9 + 7 x)}^{\frac{2}{7}}$
37237	Find the Local Maxima and Minima	f(x)=5+1/9x+10000/x	$f (x) = 5 + \frac{1}{9} x + \frac{10000}{x}$
37238	Find the Local Maxima and Minima	f(x)=5x^3-6x^8+2	$f (x) = 5 x^{3} - 6 x^{8} + 2$
37239	Find the Local Maxima and Minima	f(x)=5x^3-60x^2+40	$f (x) = 5 x^{3} - 60 x^{2} + 40$
37240	Evaluate the Limit	limit as x approaches infinity of (x^2-4x+12)/(x^3-6x^2+7)	$lim_{x \to \infty} \frac{x^{2} - 4 x + 12}{x^{3} - 6 x^{2} + 7}$
37241	Find the Local Maxima and Minima	f(x)=5x^3-30x^2+10	$f (x) = 5 x^{3} - 30 x^{2} + 10$
37242	Evaluate the Limit	limit as x approaches negative infinity of (3(negative infinity)-5(negative infinity)^3)/(1+negative infinity+(negative infinity)^3)	$lim_{x \to - \infty} \frac{3 - \infty - 5 {(- \infty)}^{3}}{1 + - \infty + {(- \infty)}^{3}}$
37243	Find the Local Maxima and Minima	f(x)=5e^x	$f (x) = 5 e^{x}$
37244	Find the Local Maxima and Minima	f(x)=5e^x+5e^(-x)	$f (x) = 5 e^{x} + 5 e^{- x}$
37245	Find the Local Maxima and Minima	f(x)=5(x+2)^4-2(x+2)^2+8	$f (x) = 5 {(x + 2)}^{4} - 2 {(x + 2)}^{2} + 8$
37246	Find the Local Maxima and Minima	f(x)=5-2/3x	$f (x) = 5 - \frac{2}{3} x$
37247	Find the Local Maxima and Minima	f(x)=-4y+10x+4	$f (x) = - 4 y + 10 x + 4$
37248	Find the Local Maxima and Minima	f(x)=5.1x-2e^(0.3x)+4.5	$f (x) = 5.1 x - 2 e^{0.3 x} + 4.5$
37249	Evaluate the Limit	limit as x approaches infinity of x/( square root of x^2+1)	$lim_{x \to \infty} \frac{x}{\sqrt{x^{2} + 1}}$
37250	Find the Local Maxima and Minima	f(x)=5x^(2/3)-2x^(5/3)	$f (x) = 5 x^{\frac{2}{3}} - 2 x^{\frac{5}{3}}$
37251	Find the Local Maxima and Minima	f(x)=5x^(7/4)-70x+15	$f (x) = 5 x^{\frac{7}{4}} - 70 x + 15$
37252	Find the Local Maxima and Minima	f(x)=-5x^2-2x-8	$f (x) = - 5 x^{2} - 2 x - 8$
37253	Find the Local Maxima and Minima	f(x)=5x^2-3x^3	$f (x) = 5 x^{2} - 3 x^{3}$
37254	Find the Local Maxima and Minima	f(x)=5x^2-3x+4	$f (x) = 5 x^{2} - 3 x + 4$
37255	Find the Local Maxima and Minima	f(x)=5x^2-3x+7	$f (x) = 5 x^{2} - 3 x + 7$
37256	Find the Local Maxima and Minima	f(x)=5x^2-3x-2	$f (x) = 5 x^{2} - 3 x - 2$
37257	Evaluate the Limit	limit as t approaches 0 of (tan(9t))/(sin(3t))	$lim_{t \to 0} \frac{\tan (9 t)}{\sin (3 t)}$
37258	Find the Local Maxima and Minima	f(x)=-5x^2-40x-28	$f (x) = - 5 x^{2} - 40 x - 28$
37259	Find the Local Maxima and Minima	f(x)=5x^2-4x	$f (x) = 5 x^{2} - 4 x$
37260	Find the Local Maxima and Minima	f(x)=5x^2-4x-8	$f (x) = 5 x^{2} - 4 x - 8$
37261	Find the Local Maxima and Minima	f(x)=5x^2-5x-4	$f (x) = 5 x^{2} - 5 x - 4$
37262	Find the Local Maxima and Minima	f(x)=5x^2-60x+135	$f (x) = 5 x^{2} - 60 x + 135$
37263	Find the Local Maxima and Minima	f(x)=-5x^2-70x-12	$f (x) = - 5 x^{2} - 70 x - 12$
37264	Find the Local Maxima and Minima	f(x)=-5x^2-80x+2	$f (x) = - 5 x^{2} - 80 x + 2$
37265	Find the Local Maxima and Minima	f(x)=5x^2-9x+2	$f (x) = 5 x^{2} - 9 x + 2$
37266	Find the Local Maxima and Minima	f(x)=5x^2+6x-9	$f (x) = 5 x^{2} + 6 x - 9$
37267	Find the Local Maxima and Minima	f(x)=5x^2+7x+10	$f (x) = 5 x^{2} + 7 x + 10$
37268	Find the Local Maxima and Minima	f(x)=5x^2+7x+8	$f (x) = 5 x^{2} + 7 x + 8$
37269	Find the Local Maxima and Minima	f(x)=5x^2+8x-3	$f (x) = 5 x^{2} + 8 x - 3$
37270	Find the Local Maxima and Minima	f(x)=5x^2+6x-1	$f (x) = 5 x^{2} + 6 x - 1$
37271	Evaluate the Limit	limit as x approaches -1/2 of (6x^2+x-1)/(4x^2-2x-2)	$lim_{x \to - \frac{1}{2}} \frac{6 x^{2} + x - 1}{4 x^{2} - 2 x - 2}$
37272	Find the Local Maxima and Minima	f(x)=-5x^2+6x-3	$f (x) = - 5 x^{2} + 6 x - 3$
37273	Evaluate the Limit	limit as x approaches -1 of square root of x+4	$lim_{x \to - 1} \sqrt{x + 4}$
37274	Find the Local Maxima and Minima	f(x)=-5x^2+50x-105	$f (x) = - 5 x^{2} + 50 x - 105$
37275	Find the Local Maxima and Minima	f(x)=5x^2+6y^2	$f (x) = 5 x^{2} + 6 y^{2}$
37276	Find the Local Maxima and Minima	f(x)=-5x^2+6x-7	$f (x) = - 5 x^{2} + 6 x - 7$
37277	Find the Local Maxima and Minima	f(x)=5x^2+8x-8	$f (x) = 5 x^{2} + 8 x - 8$
37278	Find the Local Maxima and Minima	f(x)=-5x^2-100x-7	$f (x) = - 5 x^{2} - 100 x - 7$
37279	Find the Local Maxima and Minima	f(x)=5x^2-10x-120	$f (x) = 5 x^{2} - 10 x - 120$
37280	Find the Local Maxima and Minima	f(x)=5x^2-2x^2-2	$f (x) = 5 x^{2} - 2 x^{2} - 2$
37281	Find the Local Maxima and Minima	f(x)=5x^3+4x^2-12x+7	$f (x) = 5 x^{3} + 4 x^{2} - 12 x + 7$
37282	Find the Local Maxima and Minima	f(x)=-5x^3+4x+6	$f (x) = - 5 x^{3} + 4 x + 6$
37283	Find the Local Maxima and Minima	f(x)=5x^3+60x^2+7	$f (x) = 5 x^{3} + 60 x^{2} + 7$
37284	Find the Local Maxima and Minima	f(x)=5x^3+8x^2-7	$f (x) = 5 x^{3} + 8 x^{2} - 7$
37285	Find the Local Maxima and Minima	f(x)=5x^3-10x^2+5x+3	$f (x) = 5 x^{3} - 10 x^{2} + 5 x + 3$
37286	Find the Local Maxima and Minima	f(x)=5x^3+15x+1	$f (x) = 5 x^{3} + 15 x + 1$
37287	Find the Local Maxima and Minima	f(x)=5x^3-2x^2+5	$f (x) = 5 x^{3} - 2 x^{2} + 5$
37288	Evaluate the Limit	limit as x approaches 0 of (sin(6x))/(sin(8x))	$lim_{x \to 0} \frac{\sin (6 x)}{\sin (8 x)}$
37289	Find the Local Maxima and Minima	f(x)=5x^4-6x^2	$f (x) = 5 x^{4} - 6 x^{2}$
37290	Find the Local Maxima and Minima	f(x)=5x^5-3x^3+6	$f (x) = 5 x^{5} - 3 x^{3} + 6$
37291	Find the Local Maxima and Minima	f(x)=5x^6-48x^5+120x^4	$f (x) = 5 x^{6} - 48 x^{5} + 120 x^{4}$
37292	Find the Local Maxima and Minima	f(x)=5x^7+35x^6-49x^5	$f (x) = 5 x^{7} + 35 x^{6} - 49 x^{5}$
37293	Find the Local Maxima and Minima	f(x)=5x^9 natural log of 2x	$f (x) = 5 x^{9} \ln (2 x)$
37294	Find the Local Maxima and Minima	f(x)=5xe^(-0.2x)	$f (x) = 5 x e^{- 0.2 x}$
37295	Find the Local Maxima and Minima	f(x)=5x^4+10x^2+3	$f (x) = 5 x^{4} + 10 x^{2} + 3$
37296	Find the Local Maxima and Minima	f(x)=5x^4+8x^3-6x^2-8x+3	$f (x) = 5 x^{4} + 8 x^{3} - 6 x^{2} - 8 x + 3$
37297	Find the Local Maxima and Minima	f(x)=5x^4-10x^2+1	$f (x) = 5 x^{4} - 10 x^{2} + 1$
37298	Evaluate the Limit	limit as h approaches 0 of (2(4+h)^2-4(4+h)+6-22)/h	$lim_{h \to 0} \frac{2 {(4 + h)}^{2} - 4 (4 + h) + 6 - 22}{h}$
37299	Find the Local Maxima and Minima	f(x)=5x^4-10x^2-4	$f (x) = 5 x^{4} - 10 x^{2} - 4$
37300	Find the Local Maxima and Minima	f(x)=5x^4-120x^3+2	$f (x) = 5 x^{4} - 120 x^{3} + 2$