Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
10901	Find dy/dx	3x^2+y^2=1	$3 x^{2} + y^{2} = 1$
10902	Find dy/dx	3x^2+2xy+y^2=2	$3 x^{2} + 2 x y + y^{2} = 2$
10903	Find dy/dx	3x^2-7y^2=8	$3 x^{2} - 7 y^{2} = 8$
10904	Find dy/dX	3X^3+4y^3=2	$3 X^{3} + 4 y^{3} = 2$
10905	Find dy/dx	3x^2+4y^2-12=0	$3 x^{2} + 4 y^{2} - 12 = 0$
10906	Evaluate the Integral	integral of 12x^3 with respect to x	$\int 12 x^{3} d x$
10907	Find dy/dx	3x^2+y^2=4	$3 x^{2} + y^{2} = 4$
10908	Find dy/dx	2xy-9x+y=19	$2 x y - 9 x + y = 19$
10909	Find dy/dx	2xy+y^2=5	$2 x y + y^{2} = 5$
10910	Find dy/dx	3 square root of x+ square root of y=8	$3 \sqrt{x} + \sqrt{y} = 8$
10911	Find dy/dx	2y+x^5=sec(x)	$2 y + x^{5} = \sec (x)$
10912	Find dy/dx	2y+xy^2-6=0	$2 y + x y^{2} - 6 = 0$
10913	Find dy/dx	3x^3y^2-2y^3=-4	$3 x^{3} y^{2} - 2 y^{3} = - 4$
10914	Find dy/dx	3x^2-4xy^2+y^4+8=0	$3 x^{2} - 4 x y^{2} + y^{4} + 8 = 0$
10915	Find dy/dx	3x^2-4y^2=1	$3 x^{2} - 4 y^{2} = 1$
10916	Find dy/dx	3x^2-4y^2=2	$3 x^{2} - 4 y^{2} = 2$
10917	Find dy/dx	3x^2-4xy+3y^3=-148	$3 x^{2} - 4 x y + 3 y^{3} = - 148$
10918	Find dy/dx	3x^5+y=3y^5+x	$3 x^{5} + y = 3 y^{5} + x$
10919	Find dy/dx	3y^3-2xy=8	$3 y^{3} - 2 x y = 8$
10920	Find dy/dx	32e^y=x^5+y^3	$32 e^{y} = x^{5} + y^{3}$
10921	Find dy/dx	-32e^y=x^5+y^5	$- 32 e^{y} = x^{5} + y^{5}$
10922	Find dy/dx	3sin(x)cos(y)=1	$3 \sin (x) \cos (y) = 1$
10923	Find dy/dx	3y^3+x^2=5	$3 y^{3} + x^{2} = 5$
10924	Find dy/dx	3x+ natural log of y=x^2y^5	$3 x + \ln (y) = x^{2} y^{5}$
10925	Find dy/dx	3xy+y^2=2x+y	$3 x y + y^{2} = 2 x + y$
10926	Find dy/dx	3xy+2y^2=4	$3 x y + 2 y^{2} = 4$
10927	Find dy/dx	3xy-2x-2=0	$3 x y - 2 x - 2 = 0$
10928	Find dy/dx	6x+y^2-7y+4=0	$6 x + y^{2} - 7 y + 4 = 0$
10929	Find dy/dx	7x^2+3xy-y^2=4	$7 x^{2} + 3 x y - y^{2} = 4$
10930	Evaluate the Integral	integral of x^5e^(x^6) with respect to x	$\int x^{5} e^{x^{6}} d x$
10931	Find dy/dx	6cos(x)sin(y)=5	$6 \cos (x) \sin (y) = 5$
10932	Find dy/dx	6sin(x)+cos(y)=sin(x)cos(y)	$6 \sin (x) + \cos (y) = \sin (x) \cos (y)$
10933	Find dy/dx	6x^2-8y^2=9	$6 x^{2} - 8 y^{2} = 9$
10934	Find dy/dx	6+3x=sin(xy^4)	$6 + 3 x = \sin (x y^{4})$
10935	Find dy/dx	6x+7y=8	$6 x + 7 y = 8$
10936	Find dy/dx	7x^3-y^2-7=0	$7 x^{3} - y^{2} - 7 = 0$
10937	Find dy/dx	7x+2y=3	$7 x + 2 y = 3$
10938	Find dy/dx	7x+6y=9	$7 x + 6 y = 9$
10939	Find dy/dx	8x^2-y^3-8=0	$8 x^{2} - y^{3} - 8 = 0$
10940	Find dy/dx	5x^5+7y^5=12xy	$5 x^{5} + 7 y^{5} = 12 x y$
10941	Find dy/dx	y=x^7e^x	$y = x^{7} e^{x}$
10942	Find dy/dx	6x^3y^2-2y^3=-4	$6 x^{3} y^{2} - 2 y^{3} = - 4$
10943	Find dy/dx	6x^5y+x^4+y^4=2	$6 x^{5} y + x^{4} + y^{4} = 2$
10944	Find dy/dx	5x^2-4y^2=1	$5 x^{2} - 4 y^{2} = 1$
10945	Find dy/dx	5x^4+2y^4=7xy	$5 x^{4} + 2 y^{4} = 7 x y$
10946	Find dy/dx	5xy^2+8=4x	$5 x y^{2} + 8 = 4 x$
10947	Find dy/dx	5xy+y^2=6x+y	$5 x y + y^{2} = 6 x + y$
10948	Find dy/dx	5ysin(x^2)=3xsin(y^2)	$5 y \sin (x^{2}) = 3 x \sin (y^{2})$
10949	Find dy/dx	4x^2+y^2=7	$4 x^{2} + y^{2} = 7$
10950	Find dy/dx	4x^2+y^2=9	$4 x^{2} + y^{2} = 9$
10951	Find dy/dx	4x^2-y^2=7	$4 x^{2} - y^{2} = 7$
10952	Find dy/dx	4x^2+7xy-y^2=3	$4 x^{2} + 7 x y - y^{2} = 3$
10953	Find dy/dx	4x^2-5y^2=3	$4 x^{2} - 5 y^{2} = 3$
10954	Find dy/dx	4x^2y+2y^3=1+xy^2	$4 x^{2} y + 2 y^{3} = 1 + x y^{2}$
10955	Evaluate the Integral	integral of 1/(x^2+9) with respect to x	$\int \frac{1}{x^{2} + 9} d x$
10956	Find dy/dx	4x^3+x^2y-xy^3=6	$4 x^{3} + x^{2} y - x y^{3} = 6$
10957	Find dy/dx	5x^2-y^2-9=0	$5 x^{2} - y^{2} - 9 = 0$
10958	Find dy/dx	5x^2-2y^2=2	$5 x^{2} - 2 y^{2} = 2$
10959	Find dy/dx	5x^2-3y^2=3	$5 x^{2} - 3 y^{2} = 3$
10960	Find dy/dx	48(x^2+y^2)^2=625xy^2	$48 {(x^{2} + y^{2})}^{2} = 625 x y^{2}$
10961	Find dy/dx	4x+2y=0	$4 x + 2 y = 0$
10962	Find dy/dx	4x+7y=xy	$4 x + 7 y = x y$
10963	Find dy/dx	xe^y=1	$x e^{y} = 1$
10964	Find dy/dx	x^2y-x^2+y-1=0	$x^{2} y - x^{2} + y - 1 = 0$
10965	Find dy/dx	x^3-y^3=7	$x^{3} - y^{3} = 7$
10966	Find the Derivative - d/dx	7xe^x	$7 x e^{x}$
10967	Evaluate the Limit	limit as h approaches 0 of 3/( square root of 3h+1+1)	$lim_{h \to 0} \frac{3}{\sqrt{3 h + 1 + 1}}$
10968	Evaluate the Limit	limit as x approaches 5 of (x^2-25)/(x+5)	$lim_{x \to 5} \frac{x^{2} - 25}{x + 5}$
10969	Find dy/dx	x^4+y^4=2	$x^{4} + y^{4} = 2$
10970	Find dy/dx	x^4+y^4=5	$x^{4} + y^{4} = 5$
10971	Find dy/dx	x^2+y^2=5y	$x^{2} + y^{2} = 5 y$
10972	Evaluate the Limit	limit as h approaches 0 of ( square root of 5x+5h- square root of 5x)/h	$lim_{h \to 0} \frac{\sqrt{5 x + 5 h} - \sqrt{5 x}}{h}$
10973	Find dy/dx	x^2y^2+3y=4x	$x^{2} y^{2} + 3 y = 4 x$
10974	Find dy/dx	e^(5xy)=6y	$e^{5 x y} = 6 y$
10975	Find dy/dx	-x^(2/3)+y^(2/3)=1	$- x^{\frac{2}{3}} + y^{\frac{2}{3}} = 1$
10976	Find dy/dx	square root of y=2x^4y+5/(x^2)	$\sqrt{y} = 2 x^{4} y + \frac{5}{x^{2}}$
10977	Find dy/dc	x^2-2xy+y^3=c	$x^{2} - 2 x y + y^{3} = c$
10978	Find the Derivative - d/d@VAR	f(x)=sin(cos(2x))^2	$f (x) = \sin^{2} (\cos (2 x))$
10979	Find du/dx	u=x^2+10	$u = x^{2} + 10$
10980	Find dy/da	(x^2-y^2)^3=3a^4x^2	${(x^{2} - y^{2})}^{3} = 3 a^{4} x^{2}$
10981	Find dy/dx	(cos(pix)+sin(piy))^9=17	${(\cos (π x) + \sin (π y))}^{9} = 17$
10982	Find dy/dx	(xy^3)/(1+sec(y))=1+y^4	$\frac{x y^{3}}{1 + \sec (y)} = 1 + y^{4}$
10983	Find dy/dx	(dy)/(dx)=sin(5x)	$\frac{d y}{d x} = \sin (5 x)$
10984	Find dy/dx	(x^2)/36+(y^2)/25=1	$\frac{x^{2}}{36} + \frac{y^{2}}{25} = 1$
10985	Find dy/dx	e^(x^2+y^2)=xe^(5y)-y^2e^((5x)/2)	$e^{x^{2} + y^{2}} = x e^{5 y} - y^{2} e^{\frac{5 x}{2}}$
10986	Find dy/dx	e^(9x)=sin(x+5y)	$e^{9 x} = \sin (x + 5 y)$
10987	Find dy/dx	e^(2xy)+2xy=2	$e^{2 x y} + 2 x y = 2$
10988	Solve for x	-3x^2+30x+72=0	$- 3 x^{2} + 30 x + 72 = 0$
10989	Find dy/dx	x=2 natural log of y^2-3	$x = 2 \ln (y^{2} - 3)$
10990	Find dy/dx	x=(y^3)/27+9/(4y)	$x = \frac{y^{3}}{27} + \frac{9}{4 y}$
10991	Find dy/dx	x=2y	$x = 2 y$
10992	Find dy/dx	natural log of y=7x natural log of square root of x	$\ln (y) = 7 x \ln (\sqrt{x})$
10993	Find the Critical Points	x^3-3x^2	$x^{3} - 3 x^{2}$
10994	Find the Concavity	(x^5)/20+(x^4)/6-(x^3)/2	$\frac{x^{5}}{20} + \frac{x^{4}}{6} - \frac{x^{3}}{2}$
10995	Find dy/dx	cot(xy)+xy=0	$\cot (x y) + x y = 0$
10996	Find dy/dx	cos(xy)+x^6=y^6	$\cos (x y) + x^{6} = y^{6}$
10997	Find dy/dx	dy+5(yd)x=5e^(-5x)dx	$d y + 5 yds x = 5 e^{- 5 x} d x$
10998	Find dy/dx	5sin(x)+3cos(y)-5sin(x)cos(y)+x=4pi	$5 \sin (x) + 3 \cos (y) - 5 \sin (x) \cos (y) + x = 4 π$
10999	Find dy/dx	6 square root of y^3+1-2x^1.5-2=0	$6 \sqrt{y^{3} + 1} - 2 x^{1.5} - 2 = 0$
11000	Find the Derivative - d/d@VAR	f(x)=cos(x)tan(x)	$f (x) = \cos (x) \tan (x)$