Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
39701	Find the Local Maxima and Minima	s(t)=-16t^2+60t+5	$s (t) = - 16 t^{2} + 60 t + 5$
39702	Find the Local Maxima and Minima	s(t)=176t-16t^2	$s (t) = 176 t - 16 t^{2}$
39703	Find the Local Maxima and Minima	s(t)=2sin(t)-cos(2t)	$s (t) = 2 \sin (t) - \cos (2 t)$
39704	Find the Local Maxima and Minima	s(t)=3t^4+12t^3-6t^2	$s (t) = 3 t^{4} + 12 t^{3} - 6 t^{2}$
39705	Find the Local Maxima and Minima	s(t)=3t^4+4t^3-6t^2	$s (t) = 3 t^{4} + 4 t^{3} - 6 t^{2}$
39706	Find the Local Maxima and Minima	s(t)=4t^3+8t^2+4t	$s (t) = 4 t^{3} + 8 t^{2} + 4 t$
39707	Find the Local Maxima and Minima	s(t)=4-6 cube root of t	$s (t) = 4 - 6 \sqrt[3]{t}$
39708	Find the Local Maxima and Minima	s(t)=48+96t-16t	$s (t) = 48 + 96 t - 16 t$
39709	Find the Local Maxima and Minima	s(t)=5-18 cube root of t	$s (t) = 5 - 18 \sqrt[3]{t}$
39710	Find the Local Maxima and Minima	s(t)=-6t^2+144t+4536	$s (t) = - 6 t^{2} + 144 t + 4536$
39711	Find the Local Maxima and Minima	s(t)=6t^2+7t+1	$s (t) = 6 t^{2} + 7 t + 1$
39712	Find the Local Maxima and Minima	s(t)=64+48t-16t^2	$s (t) = 64 + 48 t - 16 t^{2}$
39713	Find the Local Maxima and Minima	S(t)=68-20 natural log of t+1	$S (t) = 68 - 20 \ln (t + 1)$
39714	Find the Local Maxima and Minima	s(t)=81-15 natural log of t+1	$s (t) = 81 - 15 \ln (t + 1)$
39715	Find the Local Maxima and Minima	r(t)=t^2(t-15)+27t+1500	$r (t) = t^{2} (t - 15) + 27 t + 1500$
39716	Find the Local Maxima and Minima	R(t)=t^2(t-15)+63t+2000	$R (t) = t^{2} (t - 15) + 63 t + 2000$
39717	Find the Local Maxima and Minima	r(x)=(40000+10000/3x)(30-x)+(40000+10000/3x)(6.00)	$r (x) = (40000 + \frac{10000}{3} x) (30 - x) + (40000 + \frac{10000}{3} x) (6)$
39718	Find the Local Maxima and Minima	R(x)=0.0683x^2+1.2118x+21779	$R (x) = 0.0683 x^{2} + 1.2118 x + 21779$
39719	Find the Local Maxima and Minima	r(x)=(x^3+1x^2)/(x^2-4)	$r (x) = \frac{x^{3} + 1 x^{2}}{x^{2} - 4}$
39720	Find the Local Maxima and Minima	R(x)=-1/2x^2+800x	$R (x) = - \frac{1}{2} x^{2} + 800 x$
39721	Find the Local Maxima and Minima	R(x)=-5/3x^3+30x^2+5	$R (x) = \frac{- 5}{3} x^{3} + 30 x^{2} + 5$
39722	Find the Local Maxima and Minima	R(x)=(63x-x^2)/(x^2+63)	$R (x) = \frac{63 x - x^{2}}{x^{2} + 63}$
39723	Find the Local Maxima and Minima	r(x)=-x^3+450x^2+52500x	$r (x) = - x^{3} + 450 x^{2} + 52500 x$
39724	Find the Local Maxima and Minima	R(x)=0.252x^2-0.0002x^3	$R (x) = 0.252 x^{2} - 0.0002 x^{3}$
39725	Find the Local Maxima and Minima	r(x)=-100x^2+157000x	$r (x) = - 100 x^{2} + 157000 x$
39726	Find the Local Maxima and Minima	R(x)=11000-x^3+36x^2+700x	$R (x) = 11000 - x^{3} + 36 x^{2} + 700 x$
39727	Find the Local Maxima and Minima	R(x)=1296x-0.12x^3	$R (x) = 1296 x - 0.12 x^{3}$
39728	Find the Local Maxima and Minima	r(x)=1425x-0.19x^3	$r (x) = 1425 x - 0.19 x^{3}$
39729	Find the Local Maxima and Minima	R(x)=171x^2-0.06x^3	$R (x) = 171 x^{2} - 0.06 x^{3}$
39730	Find the Local Maxima and Minima	sin(x)[-(5pi)/8,(5pi)/6]	$\sin (x) [- \frac{5 π}{8}, \frac{5 π}{6}]$
39731	Find the Local Maxima and Minima	t(r)=-3r^5+10r^3	$t (r) = - 3 r^{5} + 10 r^{3}$
39732	Find the Local Maxima and Minima	t(t)=-0.1t^2+1.2t+98.7	$t (t) = - 0.1 t^{2} + 1.2 t + 98.7$
39733	Find the Local Maxima and Minima	t(t)=-0.1t^2+1.4t+98.4	$t (t) = - 0.1 t^{2} + 1.4 t + 98.4$
39734	Find the Local Maxima and Minima	theta(t)=-0.4t^2+2.4t+98.6	$θ (t) = - 0.4 t^{2} + 2.4 t + 98.6$
39735	Find the Local Maxima and Minima	t(x)=101-1/6*(x^2(1-x/6))	$t (x) = 101 - \frac{1}{6} \cdot (x^{2} (1 - \frac{x}{6}))$
39736	Find the Local Maxima and Minima	t(x)=-21+39e^(-0.45x)	$t (x) = - 21 + 39 e^{- 0.45 x}$
39737	Find the Local Maxima and Minima	t(x)=-2cos(2x)	$t (x) = - 2 \cos (2 x)$
39738	Find the Local Maxima and Minima	u(x)=x square root of 6-x	$u (x) = x \sqrt{6 - x}$
39739	Find the Local Maxima and Minima	P(x)=1/9x^4-4/9x^3	$P (x) = \frac{1}{9} x^{4} - \frac{4}{9} x^{3}$
39740	Find the Local Maxima and Minima	p(x)=100/(1+47e^(-0.14x))	$p (x) = \frac{100}{1 + 47 e^{- 0.14 x}}$
39741	Find the Local Maxima and Minima	s(x)=1/2x^2-2x+6	$s (x) = \frac{1}{2} x^{2} - 2 x + 6$
39742	Find the Local Maxima and Minima	S(x)=-2x^3+27x^2+132x+207	$S (x) = - 2 x^{3} + 27 x^{2} + 132 x + 207$
39743	Find the Local Maxima and Minima	s(x)=-5x^2-40x-77	$s (x) = - 5 x^{2} - 40 x - 77$
39744	Find the Local Maxima and Minima	u(y)=100x+64y-0.01x^2-0.25y^2	$u (y) = 100 x + 64 y - 0.01 x^{2} - 0.25 y^{2}$
39745	Find the Local Maxima and Minima	u(y)=20(x)+70(y)+((x)^2)/1000+((x)*(y)^2)/100	$u (y) = 20 \cdot (x) + 70 \cdot (y) + \frac{{(x)}^{2}}{1000} + \frac{(x) \cdot {(y)}^{2}}{100}$
39746	Find the Local Maxima and Minima	v(t)=999.87-0.06426t+0.0085043t^2-0.00006797^3	$v (t) = 999.87 - 0.06426 t + 0.0085043 t^{2} - {0.0\overline{000679}}^{3}$
39747	Find the Local Maxima and Minima	V(r)=k(23r^2-r^3)	$V (r) = k (23 r^{2} - r^{3})$
39748	Find the Local Maxima and Minima	v(r)=k(28r^2-r^3)	$v (r) = k (28 r^{2} - r^{3})$
39749	Find the Local Maxima and Minima	V(t)=0.08t^3-0.24t^2	$V (t) = 0.08 t^{3} - 0.24 t^{2}$
39750	Find the Local Maxima and Minima	v(t)=170sin(120pit)	$v (t) = 170 \sin (120 π t)$
39751	Find the Local Maxima and Minima	v(t)=350 square root of t-35t	$v (t) = 350 \sqrt{t} - 35 t$
39752	Find the Local Maxima and Minima	v(t)=70-(35t^2)/((t+3)^2)	$v (t) = 70 - \frac{35 t^{2}}{{(t + 3)}^{2}}$
39753	Find the Local Maxima and Minima	V(x)=x(10-2x)(16-2x)	$V (x) = x (10 - 2 x) (16 - 2 x)$
39754	Find the Local Maxima and Minima	v(x)=x(16-2x)(12-2x)	$v (x) = x (16 - 2 x) (12 - 2 x)$
39755	Find the Local Maxima and Minima	w(t)=11.3+7.37 natural log of t	$w (t) = 11.3 + 7.37 \ln (t)$
39756	Find the Local Maxima and Minima	w(x)=3x^3-4x^2-5x+1	$w (x) = 3 x^{3} - 4 x^{2} - 5 x + 1$
39757	Find the Local Maxima and Minima	x(12-pi/4x-1/2x)+pi/2x	$x (12 - \frac{π}{4} x - \frac{1}{2} x) + \frac{π}{2} x$
39758	Find the Local Maxima and Minima	g(x)=3xe^(3-7x^2)	$g (x) = 3 x e^{3 - 7 x^{2}}$
39759	Find the Local Maxima and Minima	g(x)=4 fourth root of x	$g (x) = 4 \sqrt[4]{x}$
39760	Find the Local Maxima and Minima	g(x)=4x^2+5x+2	$g (x) = 4 x^{2} + 5 x + 2$
39761	Find the Local Maxima and Minima	g(x)=4x^3-36x	$g (x) = 4 x^{3} - 36 x$
39762	Find the Local Maxima and Minima	g(x)=4x^4-8x^3	$g (x) = 4 x^{4} - 8 x^{3}$
39763	Find the Local Maxima and Minima	g(x)=4+cos(x+pi)	$g (x) = 4 + \cos (x + π)$
39764	Find the Local Maxima and Minima	g(x)=-5(x-1)^2(x+2)(x-3)	$g (x) = - 5 {(x - 1)}^{2} (x + 2) (x - 3)$
39765	Find the Local Maxima and Minima	g(x)=5x^3-11	$g (x) = 5 x^{3} - 11$
39766	Find the Local Maxima and Minima	g(x)=5-12x-3x^2	$g (x) = 5 - 12 x - 3 x^{2}$
39767	Find the Local Maxima and Minima	g(x)=5-8x-4x^2	$g (x) = 5 - 8 x - 4 x^{2}$
39768	Find the Local Maxima and Minima	g(x)=-6xe^(2x)+11e^(2x)	$g (x) = - 6 x e^{2 x} + 11 e^{2 x}$
39769	Find the Local Maxima and Minima	g(x)=x+4	$g (x) = x + 4$
39770	Find the Local Maxima and Minima	g(y)=(y+1)/(y^2-y-6)	$g (y) = \frac{y + 1}{y^{2} - y - 6}$
39771	Find the Local Maxima and Minima	g(y)=(y-1)/(y^2-3y+3)	$g (y) = \frac{y - 1}{y^{2} - 3 y + 3}$
39772	Find the Local Maxima and Minima	g(x)=sin(x)	$g (x) = \sin (x)$
39773	Find the Local Maxima and Minima	g(x)=sin(x+pi/2)	$g (x) = \sin (x + \frac{π}{2})$
39774	Find the Local Maxima and Minima	h(t)=-1/3t^3+4t^2+20t+2	$h (t) = - \frac{1}{3} t^{3} + 4 t^{2} + 20 t + 2$
39775	Find the Local Maxima and Minima	h(t)=1/4t^4-8t	$h (t) = \frac{1}{4} t^{4} - 8 t$
39776	Find the Local Maxima and Minima	g(x)=8x+sin(8x)	$g (x) = 8 x + \sin (8 x)$
39777	Find the Local Maxima and Minima	h(d)=-0.002(61.25)^2+0.7(61.25)+6.9	$h (d) = - 0.002 {(61.25)}^{2} + 0.7 (61.25) + 6.9$
39778	Find the Local Maxima and Minima	h(p)=(p-1)/(p^2+5)	$h (p) = \frac{p - 1}{p^{2} + 5}$
39779	Find the Local Maxima and Minima	h(r)=-1/((r-2)^2)	$h (r) = - \frac{1}{{(r - 2)}^{2}}$
39780	Find the Local Maxima and Minima	h(t)=-16t^2+45t+40	$h (t) = - 16 t^{2} + 45 t + 40$
39781	Find the Local Maxima and Minima	h(t)=(t^2)/(t+3)	$h (t) = \frac{t^{2}}{t + 3}$
39782	Find the Local Maxima and Minima	h(t)=2t^3-6t-6	$h (t) = 2 t^{3} - 6 t - 6$
39783	Find the Local Maxima and Minima	h(t)=24+320t-16t^2	$h (t) = 24 + 320 t - 16 t^{2}$
39784	Find the Local Maxima and Minima	h(t)=3t^4+4t^3-6t^2	$h (t) = 3 t^{4} + 4 t^{3} - 6 t^{2}$
39785	Find the Local Maxima and Minima	h(t)=350t-4.9t^2	$h (t) = 350 t - 4.9 t^{2}$
39786	Find the Local Maxima and Minima	h(t)=3t-arcsin(t)	$h (t) = 3 t - \arcsin (t)$
39787	Find the Local Maxima and Minima	h(t)=-4.9t^2+19.6t+1	$h (t) = - 4.9 t^{2} + 19.6 t + 1$
39788	Find the Local Maxima and Minima	h(t)=64t-16t^2	$h (t) = 64 t - 16 t^{2}$
39789	Find the Local Maxima and Minima	h(t)=88t-16t^2	$h (t) = 88 t - 16 t^{2}$
39790	Find the Local Maxima and Minima	h(x)=(x-1) square root of x	$h (x) = (x - 1) \sqrt{x}$
39791	Find the Local Maxima and Minima	h(x)=(4x^2-4)/(x^4-16)	$h (x) = \frac{4 x^{2} - 4}{x^{4} - 16}$
39792	Find the Local Maxima and Minima	h(x)=(x+1)^7-7x-3	$h (x) = {(x + 1)}^{7} - 7 x - 3$
39793	Find the Local Maxima and Minima	h(x)=(x+2)^9-9x-1	$h (x) = {(x + 2)}^{9} - 9 x - 1$
39794	Find the Local Maxima and Minima	h(x)=(x^3)/3-5x^2+21x-20	$h (x) = \frac{x^{3}}{3} - 5 x^{2} + 21 x - 20$
39795	Find the Local Maxima and Minima	h(x)=\|x\|-6	$h (x) = \| x \| - 6$
39796	Find the Local Maxima and Minima	h(x)=0.6^4+1.3x^3+0.4x^2	$h (x) = {0.6}^{4} + 1.3 x^{3} + 0.4 x^{2}$
39797	Find the Local Maxima and Minima	h(x)=(-32x^2)/((100)^2)+x	$h (x) = \frac{- 32 x^{2}}{{(100)}^{2}} + x$
39798	Find the Local Maxima and Minima	h(x)=4/(x^2-36)	$h (x) = \frac{4}{x^{2} - 36}$
39799	Find the Local Maxima and Minima	h(t)=t^3-3t^2+4t	$h (t) = t^{3} - 3 t^{2} + 4 t$
39800	Find the Local Maxima and Minima	h(t)=-16t^2+130(t)	$h (t) = - 16 t^{2} + 130 (t)$