Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
53801	Find the Critical Points	x^3-3x^2-24x+5	$x^{3} - 3 x^{2} - 24 x + 5$
53802	Find the Critical Points	x^3+9x^2+24x+1	$x^{3} + 9 x^{2} + 24 x + 1$
53803	Find the Critical Points	x^3-12x+23	$x^{3} - 12 x + 23$
53804	Find the Critical Points	x^3-12x-1	$x^{3} - 12 x - 1$
53805	Find the Critical Points	x^3-27x+6	$x^{3} - 27 x + 6$
53806	Find the Critical Points	x^3+12x+6	$x^{3} + 12 x + 6$
53807	Find the Critical Points	x^3+3x+6	$x^{3} + 3 x + 6$
53808	Find the Critical Points	-6 square root of 3cos(x)+6sin(x)^2	$- 6 \sqrt{3} \cos (x) + 6 \sin^{2} (x)$
53809	Find the Critical Points	5x-1	$5 x - 1$
53810	Find the Critical Points	5x-15x^(1/3)	$5 x - 15 x^{\frac{1}{3}}$
53811	Find the Critical Points	5x-9 natural log of x	$5 x - 9 \ln (x)$
53812	Find the Critical Points	6sin(x)+sin(2x)	$6 \sin (x) + \sin (2 x)$
53813	Find the Critical Points	6cos(theta)+3sin(theta)^2	$6 \cos (θ) + 3 \sin^{2} (θ)$
53814	Find the Critical Points	-6csc(x)	$- 6 \csc (x)$
53815	Find the Critical Points	64x^3-12x+1	$64 x^{3} - 12 x + 1$
53816	Find the Critical Points	64x^2+128/x+3	$64 x^{2} + \frac{128}{x} + 3$
53817	Find the Critical Points	6x square root of 64-x^2	$6 x \sqrt{64 - x^{2}}$
53818	Find the Critical Points	7x^3-3x^2+4	$7 x^{3} - 3 x^{2} + 4$
53819	Find the Critical Points	72x^2-48x	$72 x^{2} - 48 x$
53820	Find the Critical Points	6x natural log of x	$6 x \ln (x)$
53821	Find the Critical Points	6x+500000/x	$6 x + \frac{500000}{x}$
53822	Find the Critical Points	3x^3+4x^2+5	$3 x^{3} + 4 x^{2} + 5$
53823	Find the Critical Points	3x^2-8x+7	$3 x^{2} - 8 x + 7$
53824	Find the Critical Points	3x^2-5x+1	$3 x^{2} - 5 x + 1$
53825	Find the Critical Points	3x^2+6x-144	$3 x^{2} + 6 x - 144$
53826	Find the Critical Points	-3x^3-4x^4	$- 3 x^{3} - 4 x^{4}$
53827	Find the Critical Points	3x^4+4x^3-6x^2	$3 x^{4} + 4 x^{3} - 6 x^{2}$
53828	Find the Critical Points	3x^4-12x^3	$3 x^{4} - 12 x^{3}$
53829	Find the Critical Points	3x^3+9x^2-27x	$3 x^{3} + 9 x^{2} - 27 x$
53830	Find the Critical Points	44t+1/2t^2-t^3	$44 t + \frac{1}{2} t^{2} - t^{3}$
53831	Find the Critical Points	4-300000/(x^2)	$4 - \frac{300000}{x^{2}}$
53832	Find the Critical Points	5x^3-6x^2+1	$5 x^{3} - 6 x^{2} + 1$
53833	Find the Critical Points	-5x^2+40x	$- 5 x^{2} + 40 x$
53834	Find the Critical Points	4x+sin(4x)	$4 x + \sin (4 x)$
53835	Find the Critical Points	4x^3-9x^2-12x+7	$4 x^{3} - 9 x^{2} - 12 x + 7$
53836	Find the Critical Points	4x^3-4x^2-4x+5	$4 x^{3} - 4 x^{2} - 4 x + 5$
53837	Find the Critical Points	4x^3-63x^2+162x-1	$4 x^{3} - 63 x^{2} + 162 x - 1$
53838	Find the Critical Points	4x^3-36x^2+5	$4 x^{3} - 36 x^{2} + 5$
53839	Find the Critical Points	4x^3-400x	$4 x^{3} - 400 x$
53840	Find the Critical Points	4x^3-3x^2-60x+17	$4 x^{3} - 3 x^{2} - 60 x + 17$
53841	Find the Critical Points	4x^3+12x^2-16x	$4 x^{3} + 12 x^{2} - 16 x$
53842	Find the Critical Points	4x^3+36x^2+56x	$4 x^{3} + 36 x^{2} + 56 x$
53843	Find the Critical Points	x^(16/17)-x^(33/17)	$x^{\frac{16}{17}} - x^{\frac{33}{17}}$
53844	Find the Critical Points	sin(6x)+cos(6x)	$\sin (6 x) + \cos (6 x)$
53845	Find the Critical Points	t^(3/4)-4t^(1/4)	$t^{\frac{3}{4}} - 4 t^{\frac{1}{4}}$
53846	Find the Critical Points	t^4-8t^3+10t^2	$t^{4} - 8 t^{3} + 10 t^{2}$
53847	Find the Critical Points	x^(7/2)-6x^2	$x^{\frac{7}{2}} - 6 x^{2}$
53848	Find the Critical Points	x^(5/2)-6x^2	$x^{\frac{5}{2}} - 6 x^{2}$
53849	Find the Critical Points	x^2(1-x)^3	$x^{2} {(1 - x)}^{3}$
53850	Find the Critical Points	x^2(x-2)^2(x-1)^2	$x^{2} {(x - 2)}^{2} {(x - 1)}^{2}$
53851	Find the Critical Points	x^2+240/x	$x^{2} + \frac{240}{x}$
53852	Find the Critical Points	x^2+250/x	$x^{2} + \frac{250}{x}$
53853	Find the Critical Points	x^2-12x+39	$x^{2} - 12 x + 39$
53854	Find the Critical Points	x^2-22x+7	$x^{2} - 22 x + 7$
53855	Find the Critical Points	9sec(x)	$9 \sec (x)$
53856	Find the Critical Points	e^x-e^(3x)	$e^{x} - e^{3 x}$
53857	Find the Critical Points	e^(-3.5x^2)	$e^{- 3.5 x^{2}}$
53858	Find the Critical Points	arctan(2x-x^2)	$\arctan (2 x - x^{2})$
53859	Find the Critical Points	cos(pi/6x)	$\cos (\frac{π}{6} x)$
53860	Find the Critical Points	cos(x+pi/4)	$\cos (x + \frac{π}{4})$
53861	Find the Critical Points	8x^3-78x^2-288x+6	$8 x^{3} - 78 x^{2} - 288 x + 6$
53862	Find the Critical Points	8x^3-66x^2-72x+3	$8 x^{3} - 66 x^{2} - 72 x + 3$
53863	Find the Sample Standard Deviation	54 , 59 , 50 , 67 , 62 , 44 , 52	$54$ , $59$ , $50$ , $67$ , $62$ , $44$ , $52$
53864	Find the Tangent Given the Point	(( square root of 51)/10,7/10)	$(\frac{\sqrt{51}}{10}, \frac{7}{10})$
53865	Find the Tangent Given the Point	(-12/13,-5/13)	$(- \frac{12}{13}, - \frac{5}{13})$
53866	Find the Tangent Line at x=1	f(x) = natural log of 4-9x^2+8x^4 ; x=1	$f (x) = \ln (4 - 9 x^{2} + 8 x^{4})$ ; $x = 1$
53867	Find the Tangent Line at x=e^2	f(x) = natural log of x^5 ; x=e^2	$f (x) = \ln (x^{5})$ ; $x = e^{2}$
53868	Find the Tangent Line at x=a	f(x)=5x-7 ; x=a	$f (x) = 5 x - 7$ ; $x = a$
53869	Find the Tangent Line at x=e	f(x)=2+ natural log of x^6 ; x=e	$f (x) = 2 + \ln (x^{6})$ ; $x = e$
53870	Find the Tangent Line at x=9	f(x)=-7-x^2 ; x=9	$f (x) = - 7 - x^{2}$ ; $x = 9$
53871	Find the Tangent Line at x=p/3	f(x)=5tan(x) , x=pi/3	$f (x) = 5 \tan (x)$ , $x = \frac{π}{3}$
53872	Find the Tangent Line at x=-2	f(x)=x^4-32x^2+256 ; x=-2	$f (x) = x^{4} - 32 x^{2} + 256$ ; $x = - 2$
53873	Find the Tangent Line at a=0	f(x)=8e^(-6x) , a=0	$f (x) = 8 e^{- 6 x}$ , $a = 0$
53874	Find the Tangent Line at a=1/16	f(x)=3/( square root of x) , a=1/16	$f (x) = \frac{3}{\sqrt{x}}$ , $a = \frac{1}{16}$
53875	Find the Tangent Line at (4,17)	f(x)=8x-x^2 , (4,17)	$f (x) = 8 x - x^{2}$ , $(4, 17)$
53876	Find the Tangent Line at (-1,7)	f(x)=2x^2-5x , (-1,7)	$f (x) = 2 x^{2} - 5 x$ , $(- 1, 7)$
53877	Find the Tangent Line at a=6	f(x) = square root of 3x+7 , a=6	$f (x) = \sqrt{3 x + 7}$ , $a = 6$
53878	Find the Tangent Line at a=4	f(x)=6x-32 square root of x , a=4	$f (x) = 6 x - 32 \sqrt{x}$ , $a = 4$
53879	Find the Tangent Line at a=3	f(x) = square root of 3x+7 , a=3	$f (x) = \sqrt{3 x + 7}$ , $a = 3$
53880	Find the Tangent Line at x=1	f(x)=x/((4x-3)^8) , x=1	$f (x) = \frac{x}{{(4 x - 3)}^{8}}$ , $x = 1$
53881	Expand the Trigonometric Expression	(1+h)^4	${(1 + h)}^{4}$
53882	Expand the Trigonometric Expression	(1-cos(2x))(1+cos(2x))	$(1 - \cos (2 x)) (1 + \cos (2 x))$
53883	Expand the Trigonometric Expression	(1-u^2)^5	${(1 - u^{2})}^{5}$
53884	Expand the Trigonometric Expression	(2+h)^4	${(2 + h)}^{4}$
53885	Expand the Trigonometric Expression	(5+h)^3	${(5 + h)}^{3}$
53886	Expand the Trigonometric Expression	(6-z^2)(z^3-3z+5)	$(6 - z^{2}) (z^{3} - 3 z + 5)$
53887	Expand the Trigonometric Expression	(7+h)^3	${(7 + h)}^{3}$
53888	Expand the Trigonometric Expression	(x+1)(x-6)	$(x + 1) (x - 6)$
53889	Expand the Trigonometric Expression	(x-3)(x+1)	$(x - 3) (x + 1)$
53890	Expand the Trigonometric Expression	(x-5)(5x+1)	$(x - 5) (5 x + 1)$
53891	Expand the Trigonometric Expression	(x-7)(5x+1)	$(x - 7) (5 x + 1)$
53892	Expand the Trigonometric Expression	(y-5)^2	${(y - 5)}^{2}$
53893	Expand the Trigonometric Expression	-3(x+h)^2	$- 3 {(x + h)}^{2}$
53894	Expand the Trigonometric Expression	sin(3theta)	$\sin (3 θ)$
53895	Find @FORMULA	f(x)=5x+7	$f (x) = 5 x + 7$
53896	Find @FORMULA	f(x)=x^2+9	$f (x) = x^{2} + 9$
53897	Find @FORMULA	f(x)=-2x^2-3x-3	$f (x) = - 2 x^{2} - 3 x - 3$
53898	Find the Focus	x^2+10x=4y-13	$x^{2} + 10 x = 4 y - 13$
53899	Find the Focus	x^2=28y	$x^{2} = 28 y$
53900	Find the Focus	y^2=36x	$y^{2} = 36 x$