Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
7801	Convert to Interval Notation	(x^2+8x)/(x-4)>0	$\frac{x^{2} + 8 x}{x - 4} > 0$
7802	Convert to Interval Notation	x^2-5x-36<0	$x^{2} - 5 x - 36 < 0$
7803	Convert to Interval Notation	x^2-6x-27<0	$x^{2} - 6 x - 27 < 0$
7804	Convert to Interval Notation	x^3<25x	$x^{3} < 25 x$
7805	Convert to Interval Notation	x^3<36x	$x^{3} < 36 x$
7806	Find the Integral	sin(4x)	$\sin (4 x)$
7807	Find the Integral	csc(x)	$\csc (x)$
7808	Find the Integral	tan(2x)	$\tan (2 x)$
7809	Find dy/dx	square root of xy=6+x^2y	$\sqrt{x y} = 6 + x^{2} y$
7810	Find dy/dx	x^(1/2)+y^(1/2)=16	$x^{\frac{1}{2}} + y^{\frac{1}{2}} = 16$
7811	Find dy/dx	x^(1/2)+y^(1/2)=13	$x^{\frac{1}{2}} + y^{\frac{1}{2}} = 13$
7812	Find dy/dx	x^(4/3)+y^(4/3)=1	$x^{\frac{4}{3}} + y^{\frac{4}{3}} = 1$
7813	Find dy/dx	e^y=x^2+y^2	$e^{y} = x^{2} + y^{2}$
7814	Find dy/dx	e^(xy)+x^2-y^2=10	$e^{x y} + x^{2} - y^{2} = 10$
7815	Find dy/dx	e^xy=1	$e^{x} y = 1$
7816	Find dy/dx	sin(3y)^2=x+y-1	$\sin^{2} (3 y) = x + y - 1$
7817	Find dy/dx	x^2+5xy+y^2=10	$x^{2} + 5 x y + y^{2} = 10$
7818	Find dy/dx	x^2+4xy+4y=1	$x^{2} + 4 x y + 4 y = 1$
7819	Find dy/dx	x^2+4y^2=7+3xy	$x^{2} + 4 y^{2} = 7 + 3 x y$
7820	Find dy/dx	x^2+3xy+y^3=10	$x^{2} + 3 x y + y^{3} = 10$
7821	Find dy/dx	x^2+y^2=6	$x^{2} + y^{2} = 6$
7822	Find dy/dx	x^2+y^2=225	$x^{2} + y^{2} = 225$
7823	Find dy/dx	e^(x^5+y)=9x+3y+10	$e^{x^{5} + y} = 9 x + 3 y + 10$
7824	Find dy/dx	(dy)/(dx)*y=-7x^3	$\frac{d y}{d x} \cdot y = - 7 x^{3}$
7825	Find dy/dx	e^(x^2+y)=5x+4y+2	$e^{x^{2} + y} = 5 x + 4 y + 2$
7826	Find dy/dx	(x^2)/16+(y^2)/9=1	$\frac{x^{2}}{16} + \frac{y^{2}}{9} = 1$
7827	Find dy/dx	3/x-3/y=2x	$\frac{3}{x} - \frac{3}{y} = 2 x$
7828	Find dy/dx	(x^2+3y^2)^5=2xy	${(x^{2} + 3 y^{2})}^{5} = 2 x y$
7829	Find dy/dx	(4x-y)^4+2y^3=79	${(4 x - y)}^{4} + 2 y^{3} = 79$
7830	Find dy/dx	(6x-y)^4+3y^3=38392	${(6 x - y)}^{4} + 3 y^{3} = 38392$
7831	Find dy/dx	(sin(pix)+cos(piy))^2=2	${(\sin (π x) + \cos (π y))}^{2} = 2$
7832	Find dy/dx	x^3+y^3=xy	$x^{3} + y^{3} = x y$
7833	Find dy/dx	x^3+xy-2x=1	$x^{3} + x y - 2 x = 1$
7834	Find dy/dx	x^7y+y^7x=4	$x^{7} y + y^{7} x = 4$
7835	Find the Derivative - d/dx	(5x^4)/(3y^2)	$\frac{5 x^{4}}{3 y^{2}}$
7836	Find dy/dx	x^5+y^5=40xy	$x^{5} + y^{5} = 40 x y$
7837	Find dy/dx	x^5+y^5=15xy	$x^{5} + y^{5} = 15 x y$
7838	Find dy/dx	x^5+y^5=25xy	$x^{5} + y^{5} = 25 x y$
7839	Find dy/dx	x^2=(x-y)/(x+y)	$x^{2} = \frac{x - y}{x + y}$
7840	Find dy/dx	x^2+xy=10	$x^{2} + x y = 10$
7841	Find dy/dx	x^2-2xy+y^3=10	$x^{2} - 2 x y + y^{3} = 10$
7842	Find dy/dx	x^2y=1	$x^{2} y = 1$
7843	Find dy/dx	x^3y^3+x=9	$x^{3} y^{3} + x = 9$
7844	Find dy/dx	x^3+y^3=64	$x^{3} + y^{3} = 64$
7845	Find dy/dx	x^2y+y^4=4+2x	$x^{2} y + y^{4} = 4 + 2 x$
7846	Find dy/dx	x^3+y^3+y-4=0	$x^{3} + y^{3} + y - 4 = 0$
7847	Find dy/dx	x^3+y^3=x^3y^3	$x^{3} + y^{3} = x^{3} y^{3}$
7848	Find dy/dx	xy^2+4xy=10	$x y^{2} + 4 x y = 10$
7849	Find dy/dx	y^2+2y=2x+1	$y^{2} + 2 y = 2 x + 1$
7850	Find dy/dx	y^2-x^2=9	$y^{2} - x^{2} = 9$
7851	Find dy/dx	y^2=5x^4-x^2	$y^{2} = 5 x^{4} - x^{2}$
7852	Find dy/dx	y^2=(x-y)(x^2+y)	$y^{2} = (x - y) (x^{2} + y)$
7853	Find dy/dx	y^2=(x-1)/(x+1)	$y^{2} = \frac{x - 1}{x + 1}$
7854	Find the Derivative Using Chain Rule - d/dx	y=tan(e^x)	$y = \tan (e^{x})$
7855	Find dy/dx	y=(x)tan(y)	$y = (x) \tan (y)$
7856	Find dy/dx	2x^2+y^2=22	$2 x^{2} + y^{2} = 22$
7857	Find dy/dx	2x^2+y^2=4	$2 x^{2} + y^{2} = 4$
7858	Find dy/dx	y^4-2y=4x^3+x	$y^{4} - 2 y = 4 x^{3} + x$
7859	Find dy/dx	y^5+x^2y^3=1+ye^(x^2)	$y^{5} + x^{2} y^{3} = 1 + y e^{x^{2}}$
7860	Find Where Undefined/Discontinuous	f(x)=(\|x\|)/x	$f (x) = \frac{\| x \|}{x}$
7861	Find dy/dx	y^5+x^2y^3=1+x^4y	$y^{5} + x^{2} y^{3} = 1 + x^{4} y$
7862	Find dy/dx	y^5=x^6	$y^{5} = x^{6}$
7863	Find dy/dx	y=tan(x)^2	$y = \tan^{2} (x)$
7864	Find dy/dx	y=(x^2)/3	$y = \frac{x^{2}}{3}$
7865	Find dy/dx	y+7xy-2=0	$y + 7 x y - 2 = 0$
7866	Find dy/dx	sin(xy)=2x+5	$\sin (x y) = 2 x + 5$
7867	Find dy/dx	sin(x)-cos(y)-2=0	$\sin (x) - \cos (y) - 2 = 0$
7868	Evaluate the Integral	integral of natural log of x^2+1 with respect to x	$\int \ln (x^{2} + 1) d x$
7869	Find dy/dx	tan(x-y)=y/(5+x^2)	$\tan (x - y) = \frac{y}{5 + x^{2}}$
7870	Find dy/dx	natural log of xy=e^(x+y)	$\ln (x y) = e^{x + y}$
7871	Find dy/dx	5x^2-y^2=1	$5 x^{2} - y^{2} = 1$
7872	Find dy/dx	natural log of x+y+e^x=cos(y^2)+e^y	$\ln (x + y) + e^{x} = \cos (y^{2}) + e^{y}$
7873	Find dy/dx	x+2y = square root of y	$x + 2 y = \sqrt{y}$
7874	Find dy/dx	xsin(y)+ysin(x)=1	$x \sin (y) + y \sin (x) = 1$
7875	Find dy/dx	x=cos(y)	$x = \cos (y)$
7876	Find dy/dx	xcos(y)=y	$x \cos (y) = y$
7877	Evaluate the Summation	sum from i=0 to 5 of 5^i	$\sum_{i = 0}^{5} 5^{i}$
7878	Find dy/dx	xy-x+y=2	$x y - x + y = 2$
7879	Find dy/dx	y-x^2y^2=6	$y - x^{2} y^{2} = 6$
7880	Find dy/dx	xy=5	$x y = 5$
7881	Find the Derivative - d/d@VAR	f(x)=-9	$f (x) = - 9$
7882	Find dy/dx	7y-2x^2=x-9	$7 y - 2 x^{2} = x - 9$
7883	Find dy/dx	8 square root of x+ square root of y=4	$8 \sqrt{x} + \sqrt{y} = 4$
7884	Find dy/dx	8x^2-y^2=1	$8 x^{2} - y^{2} = 1$
7885	Find dy/dx	8x^2-y^3-3=0	$8 x^{2} - y^{3} - 3 = 0$
7886	Find dy/dx	7cos(x)sin(y)=3	$7 \cos (x) \sin (y) = 3$
7887	Find dy/dx	8x^2+y^2=10	$8 x^{2} + y^{2} = 10$
7888	Find dy/dx	cos(xy)=x	$\cos (x y) = x$
7889	Find dy/dx	cos(4y)=x	$\cos (4 y) = x$
7890	Find dy/dx	9xy+1=0	$9 x y + 1 = 0$
7891	Find dy/dx	5x+7y=8	$5 x + 7 y = 8$
7892	Find dy/dx	6x^2+5y^2=36	$6 x^{2} + 5 y^{2} = 36$
7893	Find dy/dx	5x^2-y^2=3	$5 x^{2} - y^{2} = 3$
7894	Find dy/dx	5x^3+xy^2=5x^3y^3	$5 x^{3} + x y^{2} = 5 x^{3} y^{3}$
7895	Find dy/dx	4x^2-3y^2=5	$4 x^{2} - 3 y^{2} = 5$
7896	Find dy/dx	4x^2+y^2=8	$4 x^{2} + y^{2} = 8$
7897	Find dy/dx	4x^2+9y^2=36	$4 x^{2} + 9 y^{2} = 36$
7898	Find dy/dx	2x^3+3y^3=64	$2 x^{3} + 3 y^{3} = 64$
7899	Find dy/dx	2x^2+y^2=57	$2 x^{2} + y^{2} = 57$
7900	Find dy/dx	2x^3=(3xy+1)^2	$2 x^{3} = {(3 x y + 1)}^{2}$