Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
58001	Find the Critical Points	f(x)=-8 square root of 3cos(x)+8sin(x)^2	$f (x) = - 8 \sqrt{3} \cos (x) + 8 \sin^{2} (x)$
58002	Find the Critical Points	R(x)=10000-x^3+36x^2+800x	$R (x) = 10000 - x^{3} + 36 x^{2} + 800 x$
58003	Find the Critical Points	f(x)=2x^3+39x^2+216x+9	$f (x) = 2 x^{3} + 39 x^{2} + 216 x + 9$
58004	Find the Critical Points	f(x)=3x^3+12x^2+16x-5	$f (x) = 3 x^{3} + 12 x^{2} + 16 x - 5$
58005	Find the Critical Points	f(x)=2/3x^3-6x^2-32x-16	$f (x) = \frac{2}{3} x^{3} - 6 x^{2} - 32 x - 16$
58006	Find the Critical Points	f(x)=5x-8	$f (x) = 5 x - 8$
58007	Find the Critical Points	f(x)=8x^3-18x^2-24x+2	$f (x) = 8 x^{3} - 18 x^{2} - 24 x + 2$
58008	Find the Critical Points	f(x)=12x^3-117x^2-432x+2	$f (x) = 12 x^{3} - 117 x^{2} - 432 x + 2$
58009	Find the Critical Points	f(x)=2(x-1)(x+2)(3x-1)	$f (x) = 2 (x - 1) (x + 2) (3 x - 1)$
58010	Find the Critical Points	g(x)=4x^3-16	$g (x) = 4 x^{3} - 16$
58011	Find the Critical Points	f(x)=2.6+2.8x-0.9x^2	$f (x) = 2.6 + 2.8 x - 0.9 x^{2}$
58012	Find the Critical Points	f(x)=x^7-7x^6	$f (x) = x^{7} - 7 x^{6}$
58013	Find the Critical Points	f(x)=x^4-1/3x^3-3/2x^2	$f (x) = x^{4} - \frac{1}{3} x^{3} - \frac{3}{2} x^{2}$
58014	Find the Critical Points	T(t)=-0.2t^2+1.6t+98.6	$T (t) = - 0.2 t^{2} + 1.6 t + 98.6$
58015	Find the Critical Points	f(x)=-5x^2+8x-4	$f (x) = - 5 x^{2} + 8 x - 4$
58016	Find the Critical Points	f(x)=4x^2-5x-1	$f (x) = 4 x^{2} - 5 x - 1$
58017	Find the Critical Points	f(x)=0.00393x^2-0.567x+35.504	$f (x) = 0.00393 x^{2} - 0.567 x + 35.504$
58018	Find the Critical Points	f(x)=x^3-5x^2-9x+8	$f (x) = x^{3} - 5 x^{2} - 9 x + 8$
58019	Find the Critical Points	f(x)=x-cos(x)	$f (x) = x - \cos (x)$
58020	Find the Critical Points	f(x)=x^4+20x^3+100x^2+3	$f (x) = x^{4} + 20 x^{3} + 100 x^{2} + 3$
58021	Find the Critical Points	g(x)=-3x^3+x^4	$g (x) = - 3 x^{3} + x^{4}$
58022	Find the Critical Points	p(x)=-0.002x^2+6x-5000	$p (x) = - 0.002 x^{2} + 6 x - 5000$
58023	Find the Critical Points	f(x)=x^-9 natural log of x	$f (x) = x^{- 9} \ln (x)$
58024	Find the Critical Points	f(x)=30x-5x^2	$f (x) = 30 x - 5 x^{2}$
58025	Find the Critical Points	f(x)=1/2x^2+2x+7	$f (x) = \frac{1}{2} x^{2} + 2 x + 7$
58026	Find the Critical Points	f(x)=-8x^2-144x+6	$f (x) = - 8 x^{2} - 144 x + 6$
58027	Find the Critical Points	f(x)=x^3+15x^2+63x-10	$f (x) = x^{3} + 15 x^{2} + 63 x - 10$
58028	Find the Critical Points	g(x) = square root of x^3+8x	$g (x) = \sqrt{x^{3} + 8 x}$
58029	Find the Critical Points	f(x)=-x^3+12x-22	$f (x) = - x^{3} + 12 x - 22$
58030	Find the Critical Points	g(x)=-8-8x-2x^2	$g (x) = - 8 - 8 x - 2 x^{2}$
58031	Find the Critical Points	f(x)=x^3-9x^2+27x-2	$f (x) = x^{3} - 9 x^{2} + 27 x - 2$
58032	Find the Critical Points	f(x)=1/2x^2+9x+4	$f (x) = \frac{1}{2} x^{2} + 9 x + 4$
58033	Find the Critical Points	f(x)=(7x)/(x^2+49)	$f (x) = \frac{7 x}{x^{2} + 49}$
58034	Find the Critical Points	f(x)=x^4-8x^3+18x^2+2	$f (x) = x^{4} - 8 x^{3} + 18 x^{2} + 2$
58035	Find the Critical Points	f(x)=49x+64/x	$f (x) = 49 x + \frac{64}{x}$
58036	Find the Critical Points	f(x)=(2sin(x)-2)( square root of 2cos(x)+1) , 0<=x<=2pi	$f (x) = (2 \sin (x) - 2) (\sqrt{2} \cos (x) + 1)$ , $0 \leq x \leq 2 π$
58037	Find the Critical Points	p(x)=(10x^3-250x^2-2320x+577000)/80000	$p (x) = \frac{10 x^{3} - 250 x^{2} - 2320 x + 577000}{80000}$
58038	Find the Critical Points	f(x)=sec((pix)/4)	$f (x) = \sec (\frac{π x}{4})$
58039	Find the Critical Points	g(x)=-x^3+x^2+8x-2	$g (x) = - x^{3} + x^{2} + 8 x - 2$
58040	Find the Critical Points	f(x)=2.5+2.8x-0.9x^2	$f (x) = 2.5 + 2.8 x - 0.9 x^{2}$
58041	Find the Critical Points	f(x)=2x^2+5x-4	$f (x) = 2 x^{2} + 5 x - 4$
58042	Find the Critical Points	f(x)=-x^3+12x-14	$f (x) = - x^{3} + 12 x - 14$
58043	Find the Critical Points	f(x)=8x^3-42x^2-48x+4	$f (x) = 8 x^{3} - 42 x^{2} - 48 x + 4$
58044	Find the Critical Points	f(x)=-10+2x-x^2	$f (x) = - 10 + 2 x - x^{2}$
58045	Find the Critical Points	f(x)=5-9x	$f (x) = 5 - 9 x$
58046	Find the Critical Points	f(x)=x^3+9x^2+15x+1	$f (x) = x^{3} + 9 x^{2} + 15 x + 1$
58047	Find the Critical Points	f(x)=7+8/x+24/(x^2)	$f (x) = 7 + \frac{8}{x} + \frac{24}{x^{2}}$
58048	Find the Critical Points	f(x)=(e^x+e^(-x))/8	$f (x) = \frac{e^{x} + e^{- x}}{8}$
58049	Find the Critical Points	f(x)=1/2x^2+6x+8	$f (x) = \frac{1}{2} x^{2} + 6 x + 8$
58050	Find the Critical Points	f(x)=x^3-12x+600	$f (x) = x^{3} - 12 x + 600$
58051	Find the Critical Points	f(x)=x-sin(x)	$f (x) = x - \sin (x)$
58052	Find All Complex Number Solutions	x^3-7/2x^2-33/2x+9=1/2(2x^3-7x^2-33x+18)	$x^{3} - \frac{7}{2} x^{2} - \frac{33}{2} x + 9 = \frac{1}{2} (2 x^{3} - 7 x^{2} - 33 x + 18)$
58053	Find All Complex Number Solutions	z^7=128i	$z^{7} = 128 i$
58054	Write in y=mx+b Form	y-27=-2/9(x-9)	$y - 27 = - \frac{2}{9} (x - 9)$
58055	Write in y=mx+b Form	9x+4y-20=0	$9 x + 4 y - 20 = 0$
58056	Write in y=mx+b Form	y-3=-1/13(x-5)	$y - 3 = - \frac{1}{13} (x - 5)$
58057	Write in y=mx+b Form	y-12=-5/12(x-5)	$y - 12 = - \frac{5}{12} (x - 5)$
58058	Write in y=mx+b Form	10x-5y=3	$10 x - 5 y = 3$
58059	Write in y=mx+b Form	x-2y=0	$x - 2 y = 0$
58060	Write in y=mx+b Form	y-14=6(x-3)	$y - 14 = 6 (x - 3)$
58061	Write in y=mx+b Form	y-57=46(x-4)	$y - 57 = 46 (x - 4)$
58062	Write in y=mx+b Form	y-5=-1/8(x-2)	$y - 5 = - \frac{1}{8} (x - 2)$
58063	Write in y=mx+b Form	y-1=12(x-1)	$y - 1 = 12 (x - 1)$
58064	Write in y=mx+b Form	3x-6y=12	$3 x - 6 y = 12$
58065	Write in y=mx+b Form	y-7=21/8(x-3)	$y - 7 = \frac{21}{8} (x - 3)$
58066	Write in y=mx+b Form	y-7/4=-7/16(x-4)	$y - \frac{7}{4} = - \frac{7}{16} (x - 4)$
58067	Write in y=mx+b Form	y-3=9(x-1)	$y - 3 = 9 (x - 1)$
58068	Write in y=mx+b Form	y-7=3(x-1)	$y - 7 = 3 (x - 1)$
58069	Write in y=mx+b Form	y-7=6/5(x-2)	$y - 7 = \frac{6}{5} (x - 2)$
58070	Write in y=mx+b Form	y-3=13(x-5)	$y - 3 = 13 (x - 5)$
58071	Write in y=mx+b Form	4x-3=2y	$4 x - 3 = 2 y$
58072	Write in y=mx+b Form	y-3=-4/7(x-2)	$y - 3 = - \frac{4}{7} (x - 2)$
58073	Write in y=mx+b Form	y-1=6(x-pi/12)	$y - 1 = 6 (x - \frac{π}{12})$
58074	Write in y=mx+b Form	y-7=4/7(x-4)	$y - 7 = \frac{4}{7} (x - 4)$
58075	Write in y=mx+b Form	4x-8y=16	$4 x - 8 y = 16$
58076	Write in y=mx+b Form	y-12=7(x-3)	$y - 12 = 7 (x - 3)$
58077	Write in y=mx+b Form	y-7pi=14(x-pi/2)	$y - 7 π = 14 (x - \frac{π}{2})$
58078	Write in y=mx+b Form	4x-2y-4=0	$4 x - 2 y - 4 = 0$
58079	Write in y=mx+b Form	9/4x+3y=27/4	$\frac{9}{4} x + 3 y = \frac{27}{4}$
58080	Write in y=mx+b Form	x-10y-9=0	$x - 10 y - 9 = 0$
58081	Write in y=mx+b Form	y-8=6(x-4)	$y - 8 = 6 (x - 4)$
58082	Write in y=mx+b Form	y-9/8=39/64(x-3)	$y - \frac{9}{8} = \frac{39}{64} (x - 3)$
58083	Write in y=mx+b Form	(y-1) = square root of 3(x-pi/6)	$(y - 1) = \sqrt{3} (x - \frac{π}{6})$
58084	Write in y=mx+b Form	y-5=5/2(x-0)	$y - 5 = \frac{5}{2} (x - 0)$
58085	Write in y=mx+b Form	y-8 square root of 5=( square root of 5)/5(x-8)	$y - 8 \sqrt{5} = \frac{\sqrt{5}}{5} (x - 8)$
58086	Write in y=mx+b Form	2x+y=2	$2 x + y = 2$
58087	Write in y=mx+b Form	2x+3y-6=0	$2 x + 3 y - 6 = 0$
58088	Write in y=mx+b Form	y-12=3/4(x-9)	$y - 12 = \frac{3}{4} (x - 9)$
58089	Write in y=mx+b Form	y-(-3/4)=-3/16(x-(-4))	$y - (- \frac{3}{4}) = - \frac{3}{16} (x - (- 4))$
58090	Write in y=mx+b Form	y-11=5/11(x-10)	$y - 11 = \frac{5}{11} (x - 10)$
58091	Write in y=mx+b Form	(-11,4) , (-7,-2)	$(- 11, 4) (- 7, - 2)$
58092	Write in y=mx+b Form	10x+7y=21	$10 x + 7 y = 21$
58093	Write in y=mx+b Form	3x-2y=12	$3 x - 2 y = 12$
58094	Write in y=mx+b Form	y-81=864(x-2)	$y - 81 = 864 (x - 2)$
58095	Write in y=mx+b Form	x+9y=6y-2	$x + 9 y = 6 y - 2$
58096	Write in y=mx+b Form	-3x+5y=2x+3y	$- 3 x + 5 y = 2 x + 3 y$
58097	Write in y=mx+b Form	15=-3y+21x	$15 = - 3 y + 21 x$
58098	Write in y=mx+b Form	y-9=29/8(x-5)	$y - 9 = \frac{29}{8} (x - 5)$
58099	Write in y=mx+b Form	y-1=1/4(x-1)	$y - 1 = \frac{1}{4} (x - 1)$
58100	Write in y=mx+b Form	y-12=11(x-3)	$y - 12 = 11 (x - 3)$