Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
39501	Find the Local Maxima and Minima	y=5/2*sin(1/2x)	$y = \frac{5}{2} \cdot \sin (\frac{1}{2} x)$
39502	Find the Local Maxima and Minima	y=5/3x^3+5x^2-15x+6	$y = \frac{5}{3} x^{3} + 5 x^{2} - 15 x + 6$
39503	Find the Local Maxima and Minima	y=5/6x^3-5/2x^2-20	$y = \frac{5}{6} x^{3} - \frac{5}{2} x^{2} - 20$
39504	Find the Local Maxima and Minima	y=7/( square root of x)	$y = \frac{7}{\sqrt{x}}$
39505	Find the Local Maxima and Minima	y=(7x)/(x^2+1)	$y = \frac{7 x}{x^{2} + 1}$
39506	Find the Local Maxima and Minima	y=e^(3x)-6e^x	$y = e^{3 x} - 6 e^{x}$
39507	Find the Local Maxima and Minima	y=e^x	$y = e^{x}$
39508	Find the Local Maxima and Minima	y=e^x-3e^(-x)-4x	$y = e^{x} - 3 e^{- x} - 4 x$
39509	Find the Local Maxima and Minima	y = square root of x^4-3x+5	$y = \sqrt{x^{4} - 3 x + 5}$
39510	Find the Local Maxima and Minima	y=9/( square root of x)	$y = \frac{9}{\sqrt{x}}$
39511	Find the Local Maxima and Minima	y=9/5x^5-47/3x^3+10x	$y = \frac{9}{5} x^{5} - \frac{47}{3} x^{3} + 10 x$
39512	Find the Local Maxima and Minima	y=(9x)/(x^2+36)	$y = \frac{9 x}{x^{2} + 36}$
39513	Find the Local Maxima and Minima	y=e^(-0.5x^2)x^2-e^(-0.5x^2)	$y = e^{- 0.5 x^{2}} x^{2} - e^{- 0.5 x^{2}}$
39514	Find the Local Maxima and Minima	y=e^(11x)	$y = e^{11 x}$
39515	Find the Local Maxima and Minima	y=(x^3)/3+2x^2+3x+3	$y = \frac{x^{3}}{3} + 2 x^{2} + 3 x + 3$
39516	Find the Local Maxima and Minima	y=(x^2-4x+5)/(x-2)	$y = \frac{x^{2} - 4 x + 5}{x - 2}$
39517	Find the Local Maxima and Minima	y=(cos(x)*(sin(x)))/(\|cos(x)\|)	$y = \frac{\cos (x) \cdot (\sin (x))}{\| \cos (x) \|}$
39518	Find the Local Maxima and Minima	y=(x+1)/(x^2+3x+3)	$y = \frac{x + 1}{x^{2} + 3 x + 3}$
39519	Find the Local Maxima and Minima	y=(x+2)^2(x-1)	$y = {(x + 2)}^{2} (x - 1)$
39520	Find the Local Maxima and Minima	y=(x-1)^3+2	$y = {(x - 1)}^{3} + 2$
39521	Find the Local Maxima and Minima	y=-(x-3)^2(x-5)	$y = - {(x - 3)}^{2} (x - 5)$
39522	Find the Local Maxima and Minima	y=(x-6)^5	$y = {(x - 6)}^{5}$
39523	Find the Local Maxima and Minima	y=((x-5)^7)/((x-4)^6)	$y = \frac{{(x - 5)}^{7}}{{(x - 4)}^{6}}$
39524	Find the Local Maxima and Minima	y=1/3x^3-3x^2+5x+5	$y = \frac{1}{3} x^{3} - 3 x^{2} + 5 x + 5$
39525	Find the Local Maxima and Minima	y=(2x^5)/5-(3x^4)/4-x^3+x^2	$y = \frac{2 x^{5}}{5} - \frac{3 x^{4}}{4} - x^{3} + x^{2}$
39526	Find the Local Maxima and Minima	y=(e^(5x)+e^(-5x))/8	$y = \frac{e^{5 x} + e^{- 5 x}}{8}$
39527	Find the Local Maxima and Minima	y=(x^2)/2- natural log of x	$y = \frac{x^{2}}{2} - \ln (x)$
39528	Find the Local Maxima and Minima	y=(x^2)/(x+6)	$y = \frac{x^{2}}{x + 6}$
39529	Find the Local Maxima and Minima	y=(x^2-11x+54)/(x-9)	$y = \frac{x^{2} - 11 x + 54}{x - 9}$
39530	Find the Local Maxima and Minima	y=e^(x/5)	$y = e^{\frac{x}{5}}$
39531	Find the Local Maxima and Minima	y=13x^3-5x^2	$y = 13 x^{3} - 5 x^{2}$
39532	Find the Local Maxima and Minima	y=6x^5-90x^3	$y = 6 x^{5} - 90 x^{3}$
39533	Find the Local Maxima and Minima	y=9-5x^2	$y = 9 - 5 x^{2}$
39534	Find the Local Maxima and Minima	y = log of 2x	$y = \log (2) x$
39535	Find the Local Maxima and Minima	y=(4/x+x)(4/x-x)	$y = (\frac{4}{x} + x) (\frac{4}{x} - x)$
39536	Find the Local Maxima and Minima	y=(5.4)cos((pix)/6)	$y = (5.4) \cos (\frac{π x}{6})$
39537	Find the Local Maxima and Minima	y=(65+x)(325-5x)	$y = (65 + x) (325 - 5 x)$
39538	Find the Local Maxima and Minima	y=(7-x)e^(-x)	$y = (7 - x) e^{- x}$
39539	Find the Local Maxima and Minima	y=(x+9)e^(-x/4)	$y = (x + 9) e^{- \frac{x}{4}}$
39540	Find the Local Maxima and Minima	y=(x-7)e^x	$y = (x - 7) e^{x}$
39541	Find the Local Maxima and Minima	y=0.1x^2+7x+2250	$y = 0.1 x^{2} + 7 x + 2250$
39542	Find the Local Maxima and Minima	y=(1/x)^2	$y = {(\frac{1}{x})}^{2}$
39543	Find the Local Maxima and Minima	y=(x^2-8x+37)/(x-6)	$y = \frac{x^{2} - 8 x + 37}{x - 6}$
39544	Find the Local Maxima and Minima	x(4+50/(x-8))	$x (4 + \frac{50}{x - 8})$
39545	Find the Local Maxima and Minima	x* square root of 64-x^2	$x \cdot \sqrt{64 - x^{2}}$
39546	Find the Local Maxima and Minima	x(x^2+25)^(1/2)	$x {(x^{2} + 25)}^{\frac{1}{2}}$
39547	Find the Local Maxima and Minima	x(8-x)^(1/3)	$x {(8 - x)}^{\frac{1}{3}}$
39548	Find the Local Maxima and Minima	x square root of 16-x^2	$x \sqrt{16 - x^{2}}$
39549	Find the Local Maxima and Minima	x square root of 196-x^2	$x \sqrt{196 - x^{2}}$
39550	Find the Local Maxima and Minima	x cube root of x-6	$x \sqrt[3]{x - 6}$
39551	Find the Local Maxima and Minima	x+(32/x)^2	$x + {(\frac{32}{x})}^{2}$
39552	Find the Critical Points	f(x)=2x(12-x)^3	$f (x) = 2 x {(12 - x)}^{3}$
39553	Find the Local Maxima and Minima	y=x^2-4x-1	$y = x^{2} - 4 x - 1$
39554	Find the Local Maxima and Minima	y=x^2+4x+5	$y = x^{2} + 4 x + 5$
39555	Find the Local Maxima and Minima	y=x^3-3x^2	$y = x^{3} - 3 x^{2}$
39556	Find the Local Maxima and Minima	y=x^4-24x^2+75	$y = x^{4} - 24 x^{2} + 75$
39557	Find the Local Maxima and Minima	y=5x^3-9x^2	$y = 5 x^{3} - 9 x^{2}$
39558	Find the Local Maxima and Minima	y=8e-x	$y = 8 e - x$
39559	Find the Local Maxima and Minima	y=(x+1)(x-2)(x-5)	$y = (x + 1) (x - 2) (x - 5)$
39560	Find the Local Maxima and Minima	y(x)=13+2cos(9x)	$y (x) = 13 + 2 \cos (9 x)$
39561	Find the Local Maxima and Minima	y(t)=-7cos(57)t	$y (t) = - 7 \cos (57) t$
39562	Find the Local Maxima and Minima	x+ square root of 9-x	$x + \sqrt{9 - x}$
39563	Find the Local Maxima and Minima	x+2	$x + 2$
39564	Find the Local Maxima and Minima	x-10 square root of x	$x - 10 \sqrt{x}$
39565	Find the Local Maxima and Minima	x+13/x	$x + \frac{13}{x}$
39566	Find the Local Maxima and Minima	P(d)=3+15(1-e^(-0.2d))	$P (d) = 3 + 15 (1 - e^{- 0.2 d})$
39567	Find the Local Maxima and Minima	p(q)=-0.03q^2+3q-32	$p (q) = - 0.03 q^{2} + 3 q - 32$
39568	Find the Local Maxima and Minima	P(t)=0.0000000216t^4-0.0000167t^3+0.00156t^2+0.002t+0.24	$P (t) = 0.00000002 t^{4} - 0.0000167 t^{3} + 0.00156 t^{2} + 0.002 t + 0.24$
39569	Find the Local Maxima and Minima	p(t)=(100t)/(t+3)	$p (t) = \frac{100 t}{t + 3}$
39570	Find the Local Maxima and Minima	p(t)=2500/(1+5.25e^(-0.32t))	$p (t) = \frac{2500}{1 + 5.25 e^{- 0.32 t}}$
39571	Find the Local Maxima and Minima	P(t)=340/(1+2e^(-0.3t))	$P (t) = \frac{340}{1 + 2 e^{- 0.3 t}}$
39572	Find the Local Maxima and Minima	P(t)=3675/(1+3.74e^(-0.34t))	$P (t) = \frac{3675}{1 + 3.74 e^{- 0.34 t}}$
39573	Find the Local Maxima and Minima	P(t)=k/(1+12.8e^(-0.266t))	$P (t) = \frac{k}{1 + 12.8 e^{- 0.266 t}}$
39574	Find the Local Maxima and Minima	P(t)=0.0000000215t^4-0.0000167t^3+0.00155t^2+0.002t+0.23	$P (t) = 0.00000002 t^{4} - 0.0000167 t^{3} + 0.00155 t^{2} + 0.002 t + 0.23$
39575	Find the Local Maxima and Minima	P(t)=0.0000000215t^4-0.0000167t^3+0.00156t^2+0.002t+0.22	$P (t) = 0.00000002 t^{4} - 0.0000167 t^{3} + 0.00156 t^{2} + 0.002 t + 0.22$
39576	Find the Local Maxima and Minima	p(t)=0.18e^(0.10t)	$p (t) = 0.18 e^{0.1 t}$
39577	Find the Local Maxima and Minima	p(t)=29t+6t^2-t^3	$p (t) = 29 t + 6 t^{2} - t^{3}$
39578	Find the Local Maxima and Minima	P(t)=3t+5	$P (t) = 3 t + 5$
39579	Find the Local Maxima and Minima	p(t)=561+(36t^0.6-108)	$p (t) = 561 + (36 t^{0.6} - 108)$
39580	Find the Local Maxima and Minima	P(t)=576t+36t^2-6t^3	$P (t) = 576 t + 36 t^{2} - 6 t^{3}$
39581	Find the Local Maxima and Minima	p(t)=6te^(-t/13)	$p (t) = 6 t e^{- \frac{t}{13}}$
39582	Find the Local Maxima and Minima	p(t)=7(10)e^(-10/10)	$p (t) = 7 (10) e^{- \frac{10}{10}}$
39583	Find the Local Maxima and Minima	p(t)=7p(5-p)	$p (t) = 7 p (5 - p)$
39584	Find the Local Maxima and Minima	P(x)=-5600+9.5x-0.0017x^2	$P (x) = - 5600 + 9.5 x - 0.0017 x^{2}$
39585	Find the Local Maxima and Minima	p(x)=-0.1x^2+32x+4	$p (x) = - 0.1 x^{2} + 32 x + 4$
39586	Find the Local Maxima and Minima	P(x)=(-1/2x^2+700x)-(5500+400x)	$P (x) = (- \frac{1}{2} x^{2} + 700 x) - (5500 + 400 x)$
39587	Find the Local Maxima and Minima	P(x)=(0.17x^2-0.00016x^3)-(0.374x^2-0.0002x^3)	$P (x) = (0.17 x^{2} - 0.00016 x^{3}) - (0.374 x^{2} - 0.0002 x^{3})$
39588	Find the Local Maxima and Minima	P(x)=(220000p-10000p^2)-4p	$P (x) = (220000 p - 10000 p^{2}) - 4 p$
39589	Find the Local Maxima and Minima	p(x)=(4x)-0.5x^2+0.3x+1	$p (x) = (4 x) - 0.5 x^{2} + 0.3 x + 1$
39590	Find the Local Maxima and Minima	p(x)=(-5x-8)(x+2)(x-2)(x+3)	$p (x) = (- 5 x - 8) (x + 2) (x - 2) (x + 3)$
39591	Find the Local Maxima and Minima	h(x)=sin(x)+x/2	$h (x) = \sin (x) + \frac{x}{2}$
39592	Find the Local Maxima and Minima	h(x)=x+32/(x^2)	$h (x) = x + \frac{32}{x^{2}}$
39593	Find the Local Maxima and Minima	h(y)=arctan(y^2)	$h (y) = \arctan (y^{2})$
39594	Find the Local Maxima and Minima	k(t)=t^2(t^2-4)^3	$k (t) = t^{2} {(t^{2} - 4)}^{3}$
39595	Find the Local Maxima and Minima	k(t)=15t^3-t^5	$k (t) = 15 t^{3} - t^{5}$
39596	Find the Local Maxima and Minima	h(x)=3x^2+24x+40	$h (x) = 3 x^{2} + 24 x + 40$
39597	Find the Local Maxima and Minima	h(x)=3x^5-5x^3+3	$h (x) = 3 x^{5} - 5 x^{3} + 3$
39598	Find the Local Maxima and Minima	h(x)=5x^(2/5)-2x	$h (x) = 5 x^{\frac{2}{5}} - 2 x$
39599	Find the Local Maxima and Minima	h(x)=6x^2-6x-36	$h (x) = 6 x^{2} - 6 x - 36$
39600	Find the Local Maxima and Minima	h(x)=7(x-8)^3	$h (x) = 7 {(x - 8)}^{3}$