Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
39601	Find the Local Maxima and Minima	-(x+1)(x-1)^2	$- (x + 1) {(x - 1)}^{2}$
39602	Find the Local Maxima and Minima	m(t)=-0.006t^2+0.4t	$m (t) = - 0.006 t^{2} + 0.4 t$
39603	Find the Local Maxima and Minima	M(t)=-2t^2+84t+160	$M (t) = - 2 t^{2} + 84 t + 160$
39604	Find the Local Maxima and Minima	m(t)=-3t^2+174t+130	$m (t) = - 3 t^{2} + 174 t + 130$
39605	Find the Local Maxima and Minima	m(x)=-0.015x^2+1.26x-7.8	$m (x) = - 0.015 x^{2} + 1.26 x - 7.8$
39606	Find the Local Maxima and Minima	M(x)=-0.15x^2+1.26x-7.8	$M (x) = - 0.15 x^{2} + 1.26 x - 7.8$
39607	Find the Local Maxima and Minima	N(a)=-a^2+300a+6	$N (a) = - a^{2} + 300 a + 6$
39608	Find the Local Maxima and Minima	N(t)=(5t)/(12+t^2)	$N (t) = \frac{5 t}{12 + t^{2}}$
39609	Find the Local Maxima and Minima	n(t)=-t^3+63t^2+552t+3037	$n (t) = - t^{3} + 63 t^{2} + 552 t + 3037$
39610	Find the Local Maxima and Minima	n(t)=t^3-3t^2-24t+5	$n (t) = t^{3} - 3 t^{2} - 24 t + 5$
39611	Find the Local Maxima and Minima	n(t)=1250e^(-0.0075t)	$n (t) = 1250 e^{- 0.0075 t}$
39612	Find the Local Maxima and Minima	N(t)=1500+15t^2-t^3	$N (t) = 1500 + 15 t^{2} - t^{3}$
39613	Find the Local Maxima and Minima	n(x)=x/(0.0192x^2+48)	$n (x) = \frac{x}{0.0192 x^{2} + 48}$
39614	Find the Local Maxima and Minima	N(x)=-x^2+200x-12	$N (x) = - x^{2} + 200 x - 12$
39615	Find the Local Maxima and Minima	N(x)=-x^2+50x+7	$N (x) = - x^{2} + 50 x + 7$
39616	Find the Local Maxima and Minima	N(x)=3x^3-0.25x^4+200	$N (x) = 3 x^{3} - 0.25 x^{4} + 200$
39617	Find the Local Maxima and Minima	p(x)=x^3-ax	$p (x) = x^{3} - a x$
39618	Find the Local Maxima and Minima	p(x)=-0.000002x^3+6x-400	$p (x) = - 0.000002 x^{3} + 6 x - 400$
39619	Find the Local Maxima and Minima	P(x)=-0.001x^2+8x-5000	$P (x) = - 0.001 x^{2} + 8 x - 5000$
39620	Find the Local Maxima and Minima	p(x)=-0.04x^2+240x-10000	$p (x) = - 0.04 x^{2} + 240 x - 10000$
39621	Find the Local Maxima and Minima	p(x)=-0.1x^5+3.8x^4+3000	$p (x) = - 0.1 x^{5} + 3.8 x^{4} + 3000$
39622	Find the Local Maxima and Minima	p(x)=-1.25x^2+120x+2000	$p (x) = - 1.25 x^{2} + 120 x + 2000$
39623	Find the Local Maxima and Minima	p(x)=106-x/12	$p (x) = 106 - \frac{x}{12}$
39624	Find the Local Maxima and Minima	p(x)=117-(x/26)	$p (x) = 117 - (\frac{x}{26})$
39625	Find the Local Maxima and Minima	p(x)=150-1/(10/10)	$p (x) = 150 - \frac{1}{\frac{10}{10}}$
39626	Find the Local Maxima and Minima	p(x)=168-x/10	$p (x) = 168 - \frac{x}{10}$
39627	Find the Local Maxima and Minima	P(x)=2x^5-3x^4-5x^2-2	$P (x) = 2 x^{5} - 3 x^{4} - 5 x^{2} - 2$
39628	Find the Local Maxima and Minima	p(x)=2x^5-7x^4+1	$p (x) = 2 x^{5} - 7 x^{4} + 1$
39629	Find the Local Maxima and Minima	p(x)=2x^5-8x^4+1	$p (x) = 2 x^{5} - 8 x^{4} + 1$
39630	Find the Local Maxima and Minima	P(x)=20-5x	$P (x) = 20 - 5 x$
39631	Find the Local Maxima and Minima	P(x)=230+20x-0.5x^2	$P (x) = 230 + 20 x - 0.5 x^{2}$
39632	Find the Local Maxima and Minima	p(x)=232-30x	$p (x) = 232 - 30 x$
39633	Find the Local Maxima and Minima	p(x)=3.78x^2+1.5y^2+0.09x^3-0.01y^3	$p (x) = 3.78 x^{2} + 1.5 y^{2} + 0.09 x^{3} - 0.01 y^{3}$
39634	Find the Local Maxima and Minima	p(x)=300-0.45e^(0.003x)	$p (x) = 300 - 0.45 e^{0.003 x}$
39635	Find the Local Maxima and Minima	p(x)=-0.02x^3+600x-20000	$p (x) = - 0.02 x^{3} + 600 x - 20000$
39636	Find the Local Maxima and Minima	P(x)=(-0.1^2+100x-60)/(4000x)	$P (x) = \frac{- {0.1}^{2} + 100 x - 60}{4000 x}$
39637	Find the Local Maxima and Minima	h(x)=x^5-2x^3+x	$h (x) = x^{5} - 2 x^{3} + x$
39638	Find the Local Maxima and Minima	h(x)=8x-9 natural log of x	$h (x) = 8 x - 9 \ln (x)$
39639	Find the Local Maxima and Minima	k(x)=( natural log of x)/( square root of x)	$k (x) = \frac{\ln (x)}{\sqrt{x}}$
39640	Find the Local Maxima and Minima	k(x)=x^(3/2)*e^(2x)	$k (x) = x^{\frac{3}{2}} \cdot e^{2 x}$
39641	Find the Local Maxima and Minima	k(x)=2cos(x)-sin(x)	$k (x) = 2 \cos (x) - \sin (x)$
39642	Find the Local Maxima and Minima	k(x)=x+2sin(x)	$k (x) = x + 2 \sin (x)$
39643	Find the Local Maxima and Minima	L(x)=4x^3-32x^2+60x	$L (x) = 4 x^{3} - 32 x^{2} + 60 x$
39644	Find the Local Maxima and Minima	P(x)=x(50-0.2x)-(4x+100)	$P (x) = x (50 - 0.2 x) - (4 x + 100)$
39645	Find the Local Maxima and Minima	p(y)=3.78x^2+1.5y^2-0.09x^3-0.01y^3	$p (y) = 3.78 x^{2} + 1.5 y^{2} - 0.09 x^{3} - 0.01 y^{3}$
39646	Find the Local Maxima and Minima	Q(L)=3700 square root of 2025	$Q (L) = 3700 \sqrt{2025}$
39647	Find the Local Maxima and Minima	Q(t)=1-12t	$Q (t) = 1 - 12 t$
39648	Find the Local Maxima and Minima	Q(t)=16.78sin(0.15x-1.25)+14.6	$Q (t) = 16.78 \sin (0.15 x - 1.25) + 14.6$
39649	Find the Local Maxima and Minima	Q(t)=810-440e^(-0.7t)	$Q (t) = 810 - 440 e^{- 0.7 t}$
39650	Find the Local Maxima and Minima	f(x)=e^(7x)+e^(-x)	$f (x) = e^{7 x} + e^{- x}$
39651	Find the Local Maxima and Minima	q(x)=20(e^(-t)-e^(-2t))	$q (x) = 20 (e^{- t} - e^{- 2 t})$
39652	Find the Local Maxima and Minima	R(p)=-6p^2+30000p	$R (p) = - 6 p^{2} + 30000 p$
39653	Find the Local Maxima and Minima	R(q)=((5000-q)/100)	$R (q) = (\frac{5000 - q}{100})$
39654	Find the Local Maxima and Minima	R(q)=100-4q^2	$R (q) = 100 - 4 q^{2}$
39655	Find the Local Maxima and Minima	r(t)=(3sin(t))i-5cos(3t)j+e^(-7t)k	$r (t) = (3 \sin (t)) i - 5 \cos (3 t) j + e^{- 7 t} k$
39656	Find the Local Maxima and Minima	R(t)=(18t)/(t^2+81)	$R (t) = \frac{18 t}{t^{2} + 81}$
39657	Find the Local Maxima and Minima	p(x)=800/(x+3)-3	$p (x) = \frac{800}{x + 3} - 3$
39658	Find the Local Maxima and Minima	p(x)=x^2(a-x)	$p (x) = x^{2} (a - x)$
39659	Find the Local Maxima and Minima	p(x)=-x^3+27/2x^2-60x+100	$p (x) = - x^{3} + \frac{27}{2} x^{2} - 60 x + 100$
39660	Find the Local Maxima and Minima	P(x)=-x^3+12x^2+60x-400	$P (x) = - x^{3} + 12 x^{2} + 60 x - 400$
39661	Find the Local Maxima and Minima	P(x)=-x^3+12x^2+99x-400	$P (x) = - x^{3} + 12 x^{2} + 99 x - 400$
39662	Find the Local Maxima and Minima	p(x)=x^3-12x^2+45x+2	$p (x) = x^{3} - 12 x^{2} + 45 x + 2$
39663	Find the Local Maxima and Minima	p(x)=400e^(-0.20*5)	$p (x) = 400 e^{- 0.2 \cdot 5}$
39664	Find the Local Maxima and Minima	P(x)=-5(x+1)^2+1	$P (x) = - 5 {(x + 1)}^{2} + 1$
39665	Find the Local Maxima and Minima	p(x)=5x^4-8x^3+3x^2-2x-7	$p (x) = 5 x^{4} - 8 x^{3} + 3 x^{2} - 2 x - 7$
39666	Find the Local Maxima and Minima	p(x)=60x^2-x^3+1500x-65000	$p (x) = 60 x^{2} - x^{3} + 1500 x - 65000$
39667	Find the Local Maxima and Minima	p(x)=7x^4-28/3x^3+7	$p (x) = 7 x^{4} - \frac{28}{3} x^{3} + 7$
39668	Find the Local Maxima and Minima	p(x)=790-x^2-(2300+50x)	$p (x) = 790 - x^{2} - (2300 + 50 x)$
39669	Find the Local Maxima and Minima	p(x)=800e^(-0.02x)	$p (x) = 800 e^{- 0.02 x}$
39670	Find the Local Maxima and Minima	P(x) = natural log of -x^3+12x^2+27x+1	$P (x) = \ln (- x^{3} + 12 x^{2} + 27 x + 1)$
39671	Find the Local Maxima and Minima	R(x)=200-1600/(x+8)-x	$R (x) = 200 - \frac{1600}{x + 8} - x$
39672	Find the Local Maxima and Minima	r(x)=240x+57x^2-x^3	$r (x) = 240 x + 57 x^{2} - x^{3}$
39673	Find the Local Maxima and Minima	R(x)=240x-80x^2	$R (x) = 240 x - 80 x^{2}$
39674	Find the Local Maxima and Minima	r(x)=250xe^(-0.000425250)	$r (x) = 250 x \cdot e^{- 0.000425 \cdot 250}$
39675	Find the Local Maxima and Minima	r(x)=25x-0.1x^2	$r (x) = 25 x - 0.1 x^{2}$
39676	Find the Local Maxima and Minima	R(x)=2646-0.18x^2	$R (x) = 2646 - 0.18 x^{2}$
39677	Find the Local Maxima and Minima	R(x)=2800x+7x^2	$R (x) = 2800 x + 7 x^{2}$
39678	Find the Local Maxima and Minima	r(x)=35x-0.25x^2	$r (x) = 35 x - 0.25 x^{2}$
39679	Find the Local Maxima and Minima	R(x)=4000(1-x/300)^2	$R (x) = 4000 {(1 - \frac{x}{300})}^{2}$
39680	Find the Local Maxima and Minima	r(x)=500x-0.02x^2	$r (x) = 500 x - 0.02 x^{2}$
39681	Find the Local Maxima and Minima	r(x)=50x-0.1x^2	$r (x) = 50 x - 0.1 x^{2}$
39682	Find the Local Maxima and Minima	r(x)=57x^2-396x+1448	$r (x) = 57 x^{2} - 396 x + 1448$
39683	Find the Local Maxima and Minima	r(x)=600x^2-0.02x^3	$r (x) = 600 x^{2} - 0.02 x^{3}$
39684	Find the Local Maxima and Minima	R(x)=60x-0.1x^2	$R (x) = 60 x - 0.1 x^{2}$
39685	Find the Local Maxima and Minima	r(x)=75x-0.2^2	$r (x) = 75 x - {0.2}^{2}$
39686	Find the Local Maxima and Minima	s(t)=((t-1)^3(3t+1))/12	$s (t) = \frac{{(t - 1)}^{3} (3 t + 1)}{12}$
39687	Find the Local Maxima and Minima	S(t)=(1000t^2)/(11+t^2)	$S (t) = \frac{1000 t^{2}}{11 + t^{2}}$
39688	Find the Local Maxima and Minima	s(t)=2/(t+2)-15/((t+2)^2)+22	$s (t) = \frac{2}{t + 2} - \frac{15}{{(t + 2)}^{2}} + 22$
39689	Find the Local Maxima and Minima	s(t)=(25000e^(-t))/((1+5e^(-t))^2)	$s (t) = \frac{25000 e^{- t}}{{(1 + 5 e^{- t})}^{2}}$
39690	Find the Local Maxima and Minima	s(t)=t^2+6t+10	$s (t) = t^{2} + 6 t + 10$
39691	Find the Local Maxima and Minima	s(t)=t^3-5.6t^2+2.4t+1	$s (t) = t^{3} - 5.6 t^{2} + 2.4 t + 1$
39692	Find the Local Maxima and Minima	s(t)=t^3-6t-2	$s (t) = t^{3} - 6 t - 2$
39693	Find the Local Maxima and Minima	s(t)=-0.00003237t^5+0.0009037t^4-0.008956t^3+0.03629t^2-0.04567t+0.4663	$s (t) = - 0.0000\overline{32} t^{5} + 0.0009037 t^{4} - 0.008956 t^{3} + 0.03629 t^{2} - 0.04567 t + 0.4663$
39694	Find the Local Maxima and Minima	s(t)=-0.3t^2+18t	$s (t) = - 0.3 t^{2} + 18 t$
39695	Find the Local Maxima and Minima	s(t)=12+64t-16t^2	$s (t) = 12 + 64 t - 16 t^{2}$
39696	Find the Local Maxima and Minima	s(t)=-15t^2+360t+4455	$s (t) = - 15 t^{2} + 360 t + 4455$
39697	Find the Local Maxima and Minima	s(t)=-16t^2+144t	$s (t) = - 16 t^{2} + 144 t$
39698	Find the Local Maxima and Minima	s(t)=-16t^2+160t	$s (t) = - 16 t^{2} + 160 t$
39699	Find the Local Maxima and Minima	s(t)=-16t^2+48t+17	$s (t) = - 16 t^{2} + 48 t + 17$
39700	Find the Local Maxima and Minima	s(t)=-16t^2+60t+2	$s (t) = - 16 t^{2} + 60 t + 2$