Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
36601	Find the Local Maxima and Minima	f(x)=2x- square root of 16-x^2	$f (x) = 2 x - \sqrt{16 - x^{2}}$
36602	Find the Local Maxima and Minima	f(x)=2x square root of 18-x^2	$f (x) = 2 x \sqrt{18 - x^{2}}$
36603	Find the Local Maxima and Minima	f(x)=2x square root of 3-x	$f (x) = 2 x \sqrt{3 - x}$
36604	Find the Local Maxima and Minima	f(x)=2x square root of 64-x^2	$f (x) = 2 x \sqrt{64 - x^{2}}$
36605	Find the Local Maxima and Minima	f(x)=2x(x+1)^2(3-x)^3	$f (x) = 2 x {(x + 1)}^{2} {(3 - x)}^{3}$
36606	Find the Local Maxima and Minima	f(x)=2x(x+5)^3+3x^2(x+5)^2	$f (x) = 2 x {(x + 5)}^{3} + 3 x^{2} {(x + 5)}^{2}$
36607	Find the Local Maxima and Minima	f(x)=2x(100-4/3x)	$f (x) = 2 x (100 - \frac{4}{3} x)$
36608	Find the Local Maxima and Minima	f(x)=2x(x-4)+7	$f (x) = 2 x (x - 4) + 7$
36609	Find the Local Maxima and Minima	f(x)=2x-x^5	$f (x) = 2 x - x^{5}$
36610	Find the Local Maxima and Minima	f(x)=2x-3^(2/3)	$f (x) = 2 x - 3^{\frac{2}{3}}$
36611	Find the Local Maxima and Minima	f(x)=2x-108/x	$f (x) = 2 x - \frac{108}{x}$
36612	Find Where Increasing/Decreasing Using Derivatives	f(x)=-3x^2+5x-3	$f (x) = - 3 x^{2} + 5 x - 3$
36613	Graph	y=8x-x^2	$y = 8 x - x^{2}$
36614	Find the Local Maxima and Minima	f(x)=2x^2-20x+32	$f (x) = 2 x^{2} - 20 x + 32$
36615	Find the Local Maxima and Minima	f(x)=2x^2-20x+5	$f (x) = 2 x^{2} - 20 x + 5$
36616	Find the Local Maxima and Minima	f(x)=2x^2-24x-10	$f (x) = 2 x^{2} - 24 x - 10$
36617	Find the Local Maxima and Minima	f(x)=-2x^2-24x-13	$f (x) = - 2 x^{2} - 24 x - 13$
36618	Find the Local Maxima and Minima	f(x)=-2x^2-24x-30	$f (x) = - 2 x^{2} - 24 x - 30$
36619	Find the Local Maxima and Minima	f(x)=2x^2-28x-21	$f (x) = 2 x^{2} - 28 x - 21$
36620	Find the Local Maxima and Minima	f(x)=2x^2-2x+1	$f (x) = 2 x^{2} - 2 x + 1$
36621	Find the Local Maxima and Minima	f(x)=2x^2-36 natural log of x	$f (x) = 2 x^{2} - 36 \ln (x)$
36622	Find the Local Maxima and Minima	f(x)=-2x^2-36x-26	$f (x) = - 2 x^{2} - 36 x - 26$
36623	Find the Local Maxima and Minima	f(x)=2x^2+3xy+4y^2-5x+2y	$f (x) = 2 x^{2} + 3 x y + 4 y^{2} - 5 x + 2 y$
36624	Find the Local Maxima and Minima	f(x)=2x^2+3xy+4y^2-7x-11y	$f (x) = 2 x^{2} + 3 x y + 4 y^{2} - 7 x - 11 y$
36625	Find the Local Maxima and Minima	f(x)=-2x^2+3x-6	$f (x) = - 2 x^{2} + 3 x - 6$
36626	Find the Local Maxima and Minima	f(x)=2x^2+3xy+4y^2+6x-7y	$f (x) = 2 x^{2} + 3 x y + 4 y^{2} + 6 x - 7 y$
36627	Find the Inverse	f(x)=2sin(x+1)	$f (x) = 2 \sin (x + 1)$
36628	Find the Local Maxima and Minima	f(x)=-2x^2-3x+5	$f (x) = - 2 x^{2} - 3 x + 5$
36629	Find the Local Maxima and Minima	f(x)=2x^2-3x+7	$f (x) = 2 x^{2} - 3 x + 7$
36630	Find the Local Maxima and Minima	f(x)=2x^2-3x-12	$f (x) = 2 x^{2} - 3 x - 12$
36631	Find the Local Maxima and Minima	f(x)=2x^2*(3xy)+4y^2-2x+10y	$f (x) = 2 x^{2} \cdot (3 x y) + 4 y^{2} - 2 x + 10 y$
36632	Find the Local Maxima and Minima	f(x)=-2x^2-3xy-2y^2+63x+63y+4	$f (x) = - 2 x^{2} - 3 x y - 2 y^{2} + 63 x + 63 y + 4$
36633	Find the Local Maxima and Minima	f(x)=2x^2-4	$f (x) = 2 x^{2} - 4$
36634	Find the Local Maxima and Minima	f(x)=2x^2-16x+37	$f (x) = 2 x^{2} - 16 x + 37$
36635	Find the Local Maxima and Minima	f(x)=2x^2-10x+6	$f (x) = 2 x^{2} - 10 x + 6$
36636	Find the Local Maxima and Minima	f(x)=2x^2-16 natural log of x	$f (x) = 2 x^{2} - 16 \ln (x)$
36637	Find the Local Maxima and Minima	f(x)=2x^2-4x+7	$f (x) = 2 x^{2} - 4 x + 7$
36638	Find the Local Maxima and Minima	f(x)=2x^2-5x+1	$f (x) = 2 x^{2} - 5 x + 1$
36639	Find the Local Maxima and Minima	f(x)=2x^2-5x+2	$f (x) = 2 x^{2} - 5 x + 2$
36640	Find the Local Maxima and Minima	f(x)=2x^2-5x-2	$f (x) = 2 x^{2} - 5 x - 2$
36641	Find the Local Maxima and Minima	f(x)=2x^2-5x-3	$f (x) = 2 x^{2} - 5 x - 3$
36642	Find the Local Maxima and Minima	f(x)=2x^2-60x+650	$f (x) = 2 x^{2} - 60 x + 650$
36643	Find the Local Maxima and Minima	f(x)=-2x^2-6xy-9y^2-48x-90y+3	$f (x) = - 2 x^{2} - 6 x y - 9 y^{2} - 48 x - 90 y + 3$
36644	Find the Local Maxima and Minima	f(x)=2x^2-7x+13	$f (x) = 2 x^{2} - 7 x + 13$
36645	Find the Local Maxima and Minima	f(x)=2(cos(2x)-sin(2x))	$f (x) = 2 (\cos (2 x) - \sin (2 x))$
36646	Find the Local Maxima and Minima	f(x)=2(x-1)(15x^3+5x^2-7x-1)	$f (x) = 2 (x - 1) (15 x^{3} + 5 x^{2} - 7 x - 1)$
36647	Find the Local Maxima and Minima	f(x)=2*x^3-3x^2-36x+12	$f (x) = 2 \cdot x^{3} - 3 x^{2} - 36 x + 12$
36648	Find the Local Maxima and Minima	f(x)=-2.3+3.4x-1.2x^2	$f (x) = - 2.3 + 3.4 x - 1.2 x^{2}$
36649	Find the Local Maxima and Minima	f(x)=2.3+5.4x-2.2x^2	$f (x) = 2.3 + 5.4 x - 2.2 x^{2}$
36650	Find the Local Maxima and Minima	f(x)=2.44x-(x^2)/20000-5000	$f (x) = 2.44 x - \frac{x^{2}}{20000} - 5000$
36651	Find the Local Maxima and Minima	f(x)=2.5x^2+75x+25000	$f (x) = 2.5 x^{2} + 75 x + 25000$
36652	Find the Local Maxima and Minima	f(x)=2.5+5.2x-2.1x^2	$f (x) = 2.5 + 5.2 x - 2.1 x^{2}$
36653	Find the Local Maxima and Minima	f(x)=2.6+3.8x-1.4x^2	$f (x) = 2.6 + 3.8 x - 1.4 x^{2}$
36654	Find the Local Maxima and Minima	f(x)=2.6+4.2x-1.1x^2	$f (x) = 2.6 + 4.2 x - 1.1 x^{2}$
36655	Find the Local Maxima and Minima	f(x)=2.6+5.4x-0.7x^2	$f (x) = 2.6 + 5.4 x - 0.7 x^{2}$
36656	Find the Local Maxima and Minima	f(x)=2.8+4.2x-1.1x^2	$f (x) = 2.8 + 4.2 x - 1.1 x^{2}$
36657	Evaluate the Integral	integral from 2 to 4 of 5x^5 with respect to x	$\int_{2}^{4} 5 x^{5} d x$
36658	Find the Local Maxima and Minima	f(x)=2x^2+2048/x+100	$f (x) = 2 x^{2} + \frac{2048}{x} + 100$
36659	Find the Local Maxima and Minima	f(x)=2x^2+2048/x+11	$f (x) = 2 x^{2} + \frac{2048}{x} + 11$
36660	Find the Local Maxima and Minima	f(x)=2x^2+2048/x+12	$f (x) = 2 x^{2} + \frac{2048}{x} + 12$
36661	Find the Local Maxima and Minima	f(x)=2x^2+256/x+10	$f (x) = 2 x^{2} + \frac{256}{x} + 10$
36662	Find the Local Maxima and Minima	f(x)=2x^2+4000/x+13	$f (x) = 2 x^{2} + \frac{4000}{x} + 13$
36663	Find the Local Maxima and Minima	f(x)=2x^2+864/x+9	$f (x) = 2 x^{2} + \frac{864}{x} + 9$
36664	Find the Local Maxima and Minima	f(x)=2x^2+12x+5	$f (x) = 2 x^{2} + 12 x + 5$
36665	Find the Local Maxima and Minima	f(x)=2x^2+16x+35	$f (x) = 2 x^{2} + 16 x + 35$
36666	Find the Local Maxima and Minima	f(x)=2x^2+3x^2-120x+6	$f (x) = 2 x^{2} + 3 x^{2} - 120 x + 6$
36667	Find the Local Maxima and Minima	f(x)=2x^2+3x^7+19	$f (x) = 2 x^{2} + 3 x^{7} + 19$
36668	Find the Local Maxima and Minima	f(x)=2x^(5/2)-x^2	$f (x) = 2 x^{\frac{5}{2}} - x^{2}$
36669	Find the Local Maxima and Minima	f(x)=2x^(5/2)-135x-1	$f (x) = 2 x^{\frac{5}{2}} - 135 x - 1$
36670	Find the Local Maxima and Minima	f(x)=2x^2-(m-1)x+2m-3	$f (x) = 2 x^{2} - (m - 1) x + 2 m - 3$
36671	Find the Local Maxima and Minima	f(x)=2x^2*4000/x+13	$f (x) = 2 x^{2} \cdot \frac{4000}{x} + 13$
36672	Evaluate the Integral	integral of z/((z-1)(z-2)^2) with respect to z	$\int \frac{z}{(z - 1) {(z - 2)}^{2}} d z$
36673	Find the Local Maxima and Minima	f(x)=2x^2+4x-30	$f (x) = 2 x^{2} + 4 x - 30$
36674	Find the Local Maxima and Minima	f(x)=-2x^2+50x+25.247	$f (x) = - 2 x^{2} + 50 x + 25.247$
36675	Find the Local Maxima and Minima	f(x)=2x^2+5x+4	$f (x) = 2 x^{2} + 5 x + 4$
36676	Find the Local Maxima and Minima	f(x)=-2x^2+60x-420	$f (x) = - 2 x^{2} + 60 x - 420$
36677	Find the Local Maxima and Minima	f(x)=2x^2+6x-5	$f (x) = 2 x^{2} + 6 x - 5$
36678	Find the Local Maxima and Minima	f(x)=-2x^2+80x+50	$f (x) = - 2 x^{2} + 80 x + 50$
36679	Find the Local Maxima and Minima	f(x)=-2x^2+8x+9	$f (x) = - 2 x^{2} + 8 x + 9$
36680	Find the Local Maxima and Minima	f(x)=-2x^2+8x-7	$f (x) = - 2 x^{2} + 8 x - 7$
36681	Find the Local Maxima and Minima	f(x)=2x^2+x+1	$f (x) = 2 x^{2} + x + 1$
36682	Find the Local Maxima and Minima	f(x)=2x^3+3x^3-36x	$f (x) = 2 x^{3} + 3 x^{3} - 36 x$
36683	Find the Local Maxima and Minima	f(x)=-2x^3+30x^2-126	$f (x) = - 2 x^{3} + 30 x^{2} - 126$
36684	Find the Local Maxima and Minima	f(x)=-2x^3+30x^2-126x	$f (x) = - 2 x^{3} + 30 x^{2} - 126 x$
36685	Find the Local Maxima and Minima	f(x)=2x^3+33x^2+168x+6	$f (x) = 2 x^{3} + 33 x^{2} + 168 x + 6$
36686	Find the Local Maxima and Minima	f(x)=-2x^3+33x^2-144x+4	$f (x) = - 2 x^{3} + 33 x^{2} - 144 x + 4$
36687	Find the Local Maxima and Minima	f(x)=-2x^3+33x^2-168x+5	$f (x) = - 2 x^{3} + 33 x^{2} - 168 x + 5$
36688	Find the Local Maxima and Minima	f(x)=-2x^3+33x^2-60x+3	$f (x) = - 2 x^{3} + 33 x^{2} - 60 x + 3$
36689	Find the Local Maxima and Minima	f(x)=-2x^3+33x^2-60x+9	$f (x) = - 2 x^{3} + 33 x^{2} - 60 x + 9$
36690	Find the Local Maxima and Minima	f(x)=2x^3+36x^2+192x+8	$f (x) = 2 x^{3} + 36 x^{2} + 192 x + 8$
36691	Find the Local Maxima and Minima	f(x)=-2x^3+36x^2-210x+7	$f (x) = - 2 x^{3} + 36 x^{2} - 210 x + 7$
36692	Find the Local Maxima and Minima	f(x)=2x^3+39x^2+240x+14	$f (x) = 2 x^{3} + 39 x^{2} + 240 x + 14$
36693	Find the Local Maxima and Minima	f(x)=2x^3+39x^2+240x+4	$f (x) = 2 x^{3} + 39 x^{2} + 240 x + 4$
36694	Find the Local Maxima and Minima	f(x)=-2x^3+39x^2-216x+8	$f (x) = - 2 x^{3} + 39 x^{2} - 216 x + 8$
36695	Find the Local Maxima and Minima	f(x)=2x^3+4x^2-8x+2	$f (x) = 2 x^{3} + 4 x^{2} - 8 x + 2$
36696	Find the Local Maxima and Minima	f(x)=2x^3+45x^2+324x+6	$f (x) = 2 x^{3} + 45 x^{2} + 324 x + 6$
36697	Find the Local Maxima and Minima	f(x)=2x^3+5	$f (x) = 2 x^{3} + 5$
36698	Evaluate the Integral	integral from 0 to pi/3 of xsin(2x) with respect to x	$\int_{0}^{\frac{π}{3}} x \sin (2 x) d x$
36699	Find the Local Maxima and Minima	f(x)=2x^3+3x^2-336x-3	$f (x) = 2 x^{3} + 3 x^{2} - 336 x - 3$
36700	Find the Local Maxima and Minima	f(x)=2x^3+3x^2-36+2	$f (x) = 2 x^{3} + 3 x^{2} - 36 + 2$