Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
39801	Find the Local Maxima and Minima	h(t)=-16t^2+320t+100	$h (t) = - 16 t^{2} + 320 t + 100$
39802	Find the Local Maxima and Minima	h(t)=16t^2+40t	$h (t) = 16 t^{2} + 40 t$
39803	Find the Local Maxima and Minima	h(t)=-16t^2+48t+6	$h (t) = - 16 t^{2} + 48 t + 6$
39804	Find the Local Maxima and Minima	h(t)=-16t^2+64t+192	$h (t) = - 16 t^{2} + 64 t + 192$
39805	Find the Local Maxima and Minima	h(t)=-16t^2+Vot+56	$h (t) = - 16 t^{2} + V o t + 56$
39806	Find the Local Maxima and Minima	h(t)=-16t^2+Vot+ho	$h (t) = - 16 t^{2} + V o t + h o$
39807	Find the Local Maxima and Minima	h(t)=-16t^2-30+124	$h (t) = - 16 t^{2} - 30 + 124$
39808	Find the Local Maxima and Minima	h(x)=18x^2-12x-12	$h (x) = 18 x^{2} - 12 x - 12$
39809	Find the Local Maxima and Minima	h(x)=2x^3+5x^2-25x	$h (x) = 2 x^{3} + 5 x^{2} - 25 x$
39810	Find the Local Maxima and Minima	h(x)=2x^3-15x^2+24x	$h (x) = 2 x^{3} - 15 x^{2} + 24 x$
39811	Find the Local Maxima and Minima	h(x)=24x^2-672x+2760	$h (x) = 24 x^{2} - 672 x + 2760$
39812	Find the Local Maxima and Minima	h(x)=x^3-3x+1	$h (x) = x^{3} - 3 x + 1$
39813	Find the Local Maxima and Minima	g(x)=3x^2-27x	$g (x) = 3 x^{2} - 27 x$
39814	Find the Local Maxima and Minima	H(t)=7/6t^12-t^14	$H (t) = \frac{7}{6} t^{12} - t^{14}$
39815	Find the Local Maxima and Minima	h(x) = square root of xe^(-x)	$h (x) = \sqrt{x} e^{- x}$
39816	Find the Local Maxima and Minima	g(x)=0.25(x-3)^2-7.25	$g (x) = 0.25 {(x - 3)}^{2} - 7.25$
39817	Find the Local Maxima and Minima	g(x)=-0.3t^2+2.4t+98.5	$g (x) = - 0.3 t^{2} + 2.4 t + 98.5$
39818	Find the Local Maxima and Minima	g(x)=-100e^(0.75x^4-6x^2)-30	$g (x) = - 100 e^{0.75 x^{4} - 6 x^{2}} - 30$
39819	Find the Local Maxima and Minima	g(x)=150+8x^3+x^4	$g (x) = 150 + 8 x^{3} + x^{4}$
39820	Find the Local Maxima and Minima	g(x)=-1-8x-2x^2	$g (x) = - 1 - 8 x - 2 x^{2}$
39821	Find the Local Maxima and Minima	g(x)=x^3-75x	$g (x) = x^{3} - 75 x$
39822	Find the Local Maxima and Minima	g(x)=x^3-9x^2+6	$g (x) = x^{3} - 9 x^{2} + 6$
39823	Find the Local Maxima and Minima	g(x)=x^4-3x^3-2x^2+14x-3	$g (x) = x^{4} - 3 x^{3} - 2 x^{2} + 14 x - 3$
39824	Find the Local Maxima and Minima	g(x)=x^4-4x^3+12	$g (x) = x^{4} - 4 x^{3} + 12$
39825	Find the Local Maxima and Minima	g(x)=2x^2+4000/x+10	$g (x) = 2 x^{2} + \frac{4000}{x} + 10$
39826	Find the Local Maxima and Minima	g(x)=2x^2+864/x+12	$g (x) = 2 x^{2} + \frac{864}{x} + 12$
39827	Find the Local Maxima and Minima	g(x)=x^3-5x^2-8x+1	$g (x) = x^{3} - 5 x^{2} - 8 x + 1$
39828	Find the Local Maxima and Minima	G(x)=x^3-5x^2-8x-2	$G (x) = x^{3} - 5 x^{2} - 8 x - 2$
39829	Find the Local Maxima and Minima	G(x)=x^3-4x^2-3x+1	$G (x) = x^{3} - 4 x^{2} - 3 x + 1$
39830	Find the Local Maxima and Minima	g(x)=2xe^(3-7x^2)	$g (x) = 2 x e^{3 - 7 x^{2}}$
39831	Find the Local Maxima and Minima	g(x)=250+8x^3+x^4	$g (x) = 250 + 8 x^{3} + x^{4}$
39832	Find the Local Maxima and Minima	g(x)=2sec(x)	$g (x) = 2 \sec (x)$
39833	Find the Local Maxima and Minima	g(x)=2x+7x^(2/7)	$g (x) = 2 x + 7 x^{\frac{2}{7}}$
39834	Find the Local Maxima and Minima	g(x)=3x^2+6x-9	$g (x) = 3 x^{2} + 6 x - 9$
39835	Find the Local Maxima and Minima	g(x)=3x^2*(18x)+25	$g (x) = 3 x^{2} \cdot (18 x) + 25$
39836	Find the Local Maxima and Minima	G(x)=x^3-x^2-x-5	$G (x) = x^{3} - x^{2} - x - 5$
39837	Find the Local Maxima and Minima	g(x)=-x^2-8x-11	$g (x) = - x^{2} - 8 x - 11$
39838	Find the Local Maxima and Minima	g(x)=x^2-10x-3	$g (x) = x^{2} - 10 x - 3$
39839	Find the Local Maxima and Minima	g(x)=x^3+3x^2-4x-12	$g (x) = x^{3} + 3 x^{2} - 4 x - 12$
39840	Find the Local Maxima and Minima	g(x)=-x^3+9x^2-6	$g (x) = - x^{3} + 9 x^{2} - 6$
39841	Find the Local Maxima and Minima	g(x)=x^3-15x	$g (x) = x^{3} - 15 x$
39842	Find the Local Maxima and Minima	g(x)=x^3-3x^2-24x-3	$g (x) = x^{3} - 3 x^{2} - 24 x - 3$
39843	Find the Local Maxima and Minima	g(x)=x^3-3x^2-9x+7	$g (x) = x^{3} - 3 x^{2} - 9 x + 7$
39844	Find the Local Maxima and Minima	g(x)=x^3-3x^2-9x-7	$g (x) = x^{3} - 3 x^{2} - 9 x - 7$
39845	Find the Local Maxima and Minima	G(x)=-x^3-3x^3+9x+1	$G (x) = - x^{3} - 3 x^{3} + 9 x + 1$
39846	Find the Local Maxima and Minima	f(x)=xsin(x)+cos(x)	$f (x) = x \sin (x) + \cos (x)$
39847	Find the Local Maxima and Minima	f(x)=x square root of 25-x^2	$f (x) = x \sqrt{25 - x^{2}}$
39848	Find the Local Maxima and Minima	f(x)=xy+1/x+1/y	$f (x) = x y + \frac{1}{x} + \frac{1}{y}$
39849	Find the Local Maxima and Minima	f(x)=xy+y-11x	$f (x) = x y + y - 11 x$
39850	Find the Local Maxima and Minima	f(x)=xy+y-19x	$f (x) = x y + y - 19 x$
39851	Find the Local Maxima and Minima	f(y)=x^2-y^2	$f (y) = x^{2} - y^{2}$
39852	Find the Local Maxima and Minima	f(y)=-x^2-y^2+22x+18y-102	$f (y) = - x^{2} - y^{2} + 22 x + 18 y - 102$
39853	Find the Local Maxima and Minima	f(y)=x^2+xy+y^2+4x-4y+3	$f (y) = x^{2} + x y + y^{2} + 4 x - 4 y + 3$
39854	Find the Local Maxima and Minima	f(y)=x^2-3xy+2y^2+4x-3y+4	$f (y) = x^{2} - 3 x y + 2 y^{2} + 4 x - 3 y + 4$
39855	Find the Local Maxima and Minima	f(y)=x^4-2x^2	$f (y) = x^{4} - 2 x^{2}$
39856	Find the Local Maxima and Minima	f(y)=12x+3x^2+6xy+y^2-6	$f (y) = 12 x + 3 x^{2} + 6 x y + y^{2} - 6$
39857	Find the Local Maxima and Minima	f(y)=2y^3-x^2-12y^2+4x-30y+15	$f (y) = 2 y^{3} - x^{2} - 12 y^{2} + 4 x - 30 y + 15$
39858	Find the Local Maxima and Minima	f(y)=2y+x^2	$f (y) = 2 y + x^{2}$
39859	Find the Local Maxima and Minima	f(y)=3.78x^2+1.5y^2-0.09x^3-0.01y^3	$f (y) = 3.78 x^{2} + 1.5 y^{2} - 0.09 x^{3} - 0.01 y^{3}$
39860	Find the Local Maxima and Minima	f(y)=-3x^2+7xy-4y^2+x+y	$f (y) = - 3 x^{2} + 7 x y - 4 y^{2} + x + y$
39861	Find the Local Maxima and Minima	f(y)=4x- natural log of 4x	$f (y) = 4 x - \ln (4 x)$
39862	Find the Local Maxima and Minima	f(y)=6-x^2-4x-y^2	$f (y) = 6 - x^{2} - 4 x - y^{2}$
39863	Find the Local Maxima and Minima	f(y)=xy+25x^-1+5y^-1	$f (y) = x y + 25 x^{- 1} + 5 y^{- 1}$
39864	Find the Local Maxima and Minima	f(y)=xy+y-14x	$f (y) = x y + y - 14 x$
39865	Find the Local Maxima and Minima	g(r)=-r^3+2r^2-4	$g (r) = - r^{3} + 2 r^{2} - 4$
39866	Find the Local Maxima and Minima	g(t)=t^4-8t^2+16	$g (t) = t^{4} - 8 t^{2} + 16$
39867	Find the Local Maxima and Minima	g(t) = square root of 25-t^2	$g (t) = \sqrt{25 - t^{2}}$
39868	Find the Local Maxima and Minima	g(t)=-3t^2-5t+1	$g (t) = - 3 t^{2} - 5 t + 1$
39869	Find the Local Maxima and Minima	g(t)=(4-t)*4^t	$g (t) = (4 - t) \cdot 4^{t}$
39870	Find the Local Maxima and Minima	G(t)=12000/(1+19e^(-1.2t))	$G (t) = \frac{12000}{1 + 19 e^{- 1.2 t}}$
39871	Find the Local Maxima and Minima	g(t)=t^(3/2)e^(-2t)	$g (t) = t^{\frac{3}{2}} e^{- 2 t}$
39872	Find the Local Maxima and Minima	g(t)=(t^2)/(2+t^2)	$g (t) = \frac{t^{2}}{2 + t^{2}}$
39873	Find the Local Maxima and Minima	f(x)=x- natural log of 6x	$f (x) = x - \ln (6 x)$
39874	Find the Local Maxima and Minima	f(x)=x- natural log of 7x	$f (x) = x - \ln (7 x)$
39875	Find the Critical Points	5sin(x)^2	$5 \sin^{2} (x)$
39876	Find the Local Maxima and Minima	f(x)=x+sin(2x)+1	$f (x) = x + \sin (2 x) + 1$
39877	Find the Concavity	f(x)=x^4-4x^3+1	$f (x) = x^{4} - 4 x^{3} + 1$
39878	Find the Local Maxima and Minima	f(x)=x-6 square root of x-6	$f (x) = x - 6 \sqrt{x} - 6$
39879	Find the Local Maxima and Minima	f(x)=x-6 natural log of x^2+1	$f (x) = x - 6 \ln (x^{2} + 1)$
39880	Find the Local Maxima and Minima	f(x)=x-8 square root of x-5	$f (x) = x - 8 \sqrt{x - 5}$
39881	Find the Local Maxima and Minima	f(x)=x-b natural log of x	$f (x) = x - b \ln (x)$
39882	Find the Tangent Line at (-1,0)	y=x^3-x at the point (-1,0)	$f (x) = x \cos (x) - \cos (x + 2) [- 2, 4]$
39883	Find the Local Maxima and Minima	x square root of 9-x^2	$x \sqrt{9 - x^{2}}$
39884	Find the Local Maxima and Minima	f(x)=x- natural log of x^2	$f (x) = x - \ln (x^{2})$
39885	Find the Local Maxima and Minima	f(x)=x- natural log of 2x	$f (x) = x - \ln (2 x)$
39886	Find the Local Maxima and Minima	f(x)=x natural log of 3x-2	$f (x) = x \ln (3 x - 2)$
39887	Find the Local Maxima and Minima	f(x)=x-(4 natural log of x*1)/4=x=8	$f (x) = x - \frac{4 \ln (x) \cdot 1}{4} = x = 8$
39888	Find the Local Maxima and Minima	f(x)=x-5 natural log of 3x-9	$f (x) = x - 5 \ln (3 x - 9)$
39889	Find the Local Maxima and Minima	f(x)=x-2 natural log of x+1	$f (x) = x - 2 \ln (x + 1)$
39890	Find the Horizontal Tangent Line	f(x)=4x^2-2x+5	$f (x) = 4 x^{2} - 2 x + 5$
39891	Find the Local Maxima and Minima	f(x)=x-15x^(1/3)	$f (x) = x - 15 x^{\frac{1}{3}}$
39892	Find the Local Maxima and Minima	f(x)=x+3cos(x)	$f (x) = x + 3 \cos (x)$
39893	Find the Local Maxima and Minima	F(x)=x+4cos(x)	$F (x) = x + 4 \cos (x)$
39894	Find the Local Maxima and Minima	f(x)=x+ square root of 6-x	$f (x) = x + \sqrt{6 - x}$
39895	Find the Local Maxima and Minima	f(x)=x+ square root of 7-x	$f (x) = x + \sqrt{7 - x}$
39896	Find the Local Maxima and Minima	f(x)=x+ square root of 9-x	$f (x) = x + \sqrt{9 - x}$
39897	Find the Local Maxima and Minima	f(x)=x+1- square root of x^2+x	$f (x) = x + 1 - \sqrt{x^{2} + x}$
39898	Find the Local Maxima and Minima	g(t)=-3t^2-5t+2	$g (t) = - 3 t^{2} - 5 t + 2$
39899	Find the Local Maxima and Minima	g(t)=-3t^2-5t-4	$g (t) = - 3 t^{2} - 5 t - 4$
39900	Find the Local Maxima and Minima	g(t)=3t^2-5t-4	$g (t) = 3 t^{2} - 5 t - 4$