Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
55901	Find dx/dy at (4,10)	y^2=25x ; (4,10)	$y^{2} = 25 x$ ; $(4, 10)$
55902	Find dx/dy at (4,5)	x^2+y^2=41 , (4,5)	$x^{2} + y^{2} = 41$ , $(4, 5)$
55903	Find dx/dy at (-8,-6)	xy=48 , (-8,-6)	$x y = 48$ , $(- 8, - 6)$
55904	Find dx/dy at (9,15)	y^3=375x , (9,15)	$y^{3} = 375 x$ , $(9, 15)$
55905	Find dx/dy at (-9,-2)	xy=18 , (-9,-2)	$x y = 18$ , $(- 9, - 2)$
55906	Find dy/dx at (0,0.5)	x^2+y^2=(3x^2+2y^2-x)^2 , (0,0.5)	$x^{2} + y^{2} = {(3 x^{2} + 2 y^{2} - x)}^{2}$ , $(0, 0.5)$
55907	Find dy/dx at (1,2)	4x^2+2y^2=12 , (1,2)	$4 x^{2} + 2 y^{2} = 12$ , $(1, 2)$
55908	Find dy/dx at (1,3)	y^3=27x ; (1,3)	$y^{3} = 27 x$ ; $(1, 3)$
55909	Find dy/dx at (-1,6)	y=4x^2-2x ; (-1,6)	$y = 4 x^{2} - 2 x$ ; $(- 1, 6)$
55910	Find dy/dx at (1/8,4)	arcsin(xy)=2/3arctan(8x) , (1/8,4)	$\arcsin (x y) = \frac{2}{3} \arctan (8 x)$ , $(\frac{1}{8}, 4)$
55911	Find dy/dx at (12,6)	y^2=3x ; (12,6)	$y^{2} = 3 x$ ; $(12, 6)$
55912	Find dy/dx at (2,3)	6x^2+5xy+2y^2=72 ; (2,3)	$6 x^{2} + 5 x y + 2 y^{2} = 72$ ; $(2, 3)$
55913	Find dy/dx at (2,3)	x^2+xy-y^2=1 , (2,3)	$x^{2} + x y - y^{2} = 1$ , $(2, 3)$
55914	Find dy/dx at (2,-4)	x^2+y^2=20 , (2,-4)	$x^{2} + y^{2} = 20$ , $(2, - 4)$
55915	Find dy/dx at (3,2)	y^4-4y^2=x^4-9x^2 , (3,2)	$y^{4} - 4 y^{2} = x^{4} - 9 x^{2}$ , $(3, 2)$
55916	Find dy/dx at (-3,3)	y^2+4y+7x=0 ; (-3,3)	$y^{2} + 4 y + 7 x = 0$ ; $(- 3, 3)$
55917	Find dy/dx at (3,4)	48(x^2+y^2)=625xy^2 ; (3,4)	$48 (x^{2} + y^{2}) = 625 x y^{2}$ ; $(3, 4)$
55918	Find dy/dx at (4,10)	y^2=25x ; (4,10)	$y^{2} = 25 x$ ; $(4, 10)$
55919	Find dy/dx at (4,3)	x^2+y^2=25 , (4,3)	$x^{2} + y^{2} = 25$ , $(4, 3)$
55920	Find dy/dx at (4,5)	x^2+y^2=41 , (4,5)	$x^{2} + y^{2} = 41$ , $(4, 5)$
55921	Find dy/dx at (-8,-6)	xy=48 , (-8,-6)	$x y = 48$ , $(- 8, - 6)$
55922	Find dy/dx at (9,15)	y^3=375x , (9,15)	$y^{3} = 375 x$ , $(9, 15)$
55923	Find dy/dx at (p^+2^,p)	sin(y)+x=y^2 ; (pi^2,pi)	$\sin (y) + x = y^{2}$ ; $(π^{2}, π)$
55924	Find the Remainder	(2x^6-8x^4+x^2-19)/(x+2)	$\frac{(2 x^{6} - 8 x^{4} + x^{2} - 19)}{(x + 2)}$
55925	Evaluate Using Summation Formulas	sum from i=1 to 5 of 3i	$\sum_{i = 1}^{5} 3 i$
55926	Evaluate Using Summation Formulas	sum from j=1 to 7 of 1/4(j+1)	$\sum_{j = 1}^{7} \frac{1}{4} (j + 1)$
55927	Find the Area Under the Curve	f(x)=1+4e^(0.2x) , [-3,4]	$f (x) = 1 + 4 e^{0.2 x}$ , $[- 3, 4]$
55928	Find the Area Under the Curve	f(x)=1/(7x-1) , [4,5]	$f (x) = \frac{1}{7 x - 1}$ , $[4, 5]$
55929	Find the Area Under the Curve	f(x)=5/(6x-4) , [2,5]	$f (x) = \frac{5}{6 x - 4}$ , $[2, 5]$
55930	Find the Area Under the Curve	f(x)=4+4x , [1,5]	$f (x) = 4 + 4 x$ , $[1, 5]$
55931	Find the Area Under the Curve	f(x)=4x^2+9 , [2,5]	$f (x) = 4 x^{2} + 9$ , $[2, 5]$
55932	Find the Area Under the Curve	f(x)=6 square root of x , [4,9]	$f (x) = 6 \sqrt{x}$ , $[4, 9]$
55933	Find the Area Under the Curve	f(x)=6x-2 , [1,3]	$f (x) = 6 x - 2$ , $[1, 3]$
55934	Find the Area Under the Curve	f(x)=x^2-2x-8 , [0,6]	$f (x) = x^{2} - 2 x - 8$ , $[0, 6]$
55935	Find the Area Under the Curve	f(x)=x^2-x-12 , [1,5]	$f (x) = x^{2} - x - 12$ , $[1, 5]$
55936	Find the Roots (Zeros)	0=-sin(x)^2+cos(x)^2	$0 = - \sin^{2} (x) + \cos^{2} (x)$
55937	Find the Roots (Zeros)	-15x^2+x+28=0	$- 15 x^{2} + x + 28 = 0$
55938	Find the Roots (Zeros)	4x^3-2x=0	$4 x^{3} - 2 x = 0$
55939	Find the Roots (Zeros)	5^x+125(5)^(-x)=30	$5^{x} + 125 {(5)}^{- x} = 30$
55940	Find the Roots (Zeros)	y=2x^3+3x^2-12x+3	$y = 2 x^{3} + 3 x^{2} - 12 x + 3$
55941	Find the Roots (Zeros)	y=x^2-3x-18	$y = x^{2} - 3 x - 18$
55942	Find the Roots (Zeros)	0=3x^2-24x+45	$0 = 3 x^{2} - 24 x + 45$
55943	Find the Roots (Zeros)	3x-5=0	$3 x - 5 = 0$
55944	Find the Roots (Zeros)	5x^2-6x+1=0	$5 x^{2} - 6 x + 1 = 0$
55945	Find the Roots (Zeros)	6x^2+72x+210=0	$6 x^{2} + 72 x + 210 = 0$
55946	Find the Roots (Zeros)	70x^3-87x^2+32x-3=0	$70 x^{3} - 87 x^{2} + 32 x - 3 = 0$
55947	Find the Roots (Zeros)	9x^2-12x+4=0	$9 x^{2} - 12 x + 4 = 0$
55948	Find the Roots (Zeros)	cos(3theta)=-1	$\cos (3 θ) = - 1$
55949	Find the Roots (Zeros)	sin(2theta)=-( square root of 3)/2	$\sin (2 θ) = - \frac{\sqrt{3}}{2}$
55950	Find the Roots (Zeros)	sin(2theta)=1/2	$\sin (2 θ) = \frac{1}{2}$
55951	Find the Roots (Zeros)	sin(x)=1/2	$\sin (x) = \frac{1}{2}$
55952	Find the Roots (Zeros)	tan(theta)=1	$\tan (θ) = 1$
55953	Find the Roots (Zeros)	x^2+5x-4=0	$x^{2} + 5 x - 4 = 0$
55954	Find the Roots (Zeros)	x^2+7x-8=0	$x^{2} + 7 x - 8 = 0$
55955	Find the Roots (Zeros)	x^2-4x-5=0	$x^{2} - 4 x - 5 = 0$
55956	Find the Roots (Zeros)	x^2-6x-3=0	$x^{2} - 6 x - 3 = 0$
55957	Find the Roots (Zeros)	x^3-7x^2+9x-63=0	$x^{3} - 7 x^{2} + 9 x - 63 = 0$
55958	Find the Roots (Zeros)	x^5-3x-1=0	$x^{5} - 3 x - 1 = 0$
55959	Find the Roots (Zeros)	x^7+3x-10=0	$x^{7} + 3 x - 10 = 0$
55960	Find the Roots (Zeros)	x^7+7x-10=0	$x^{7} + 7 x - 10 = 0$
55961	Find the Roots (Zeros)	y=3x^2+6x+1	$y = 3 x^{2} + 6 x + 1$
55962	Find the Roots (Zeros)	y=x^2+x+2	$y = x^{2} + x + 2$
55963	Find the Equation Using Slope-Intercept Form	sin(y)+4x=y^2 ; ((pi^2)/4,pi)	$\sin (y) + 4 x = y^{2}$ ; $(\frac{π^{2}}{4}, π)$
55964	Find the Equation Using Slope-Intercept Form	sin(y)+6x=y^2 ; ((pi^2)/6,pi)	$\sin (y) + 6 x = y^{2}$ ; $(\frac{π^{2}}{6}, π)$
55965	Find the Equation Using Slope-Intercept Form	y=(3+csc(x))/(7-csc(x)) , (pi/6,1)	$y = \frac{3 + \csc (x)}{7 - \csc (x)}$ , $(\frac{π}{6}, 1)$
55966	Find the Equation Using Slope-Intercept Form	y = square root of x , (81,9)	$y = \sqrt{x}$ , $(81, 9)$
55967	Find the Equation Using Slope-Intercept Form	y=3arcsin(x) , (1/2,pi/2)	$y = 3 \arcsin (x)$ , $(\frac{1}{2}, \frac{π}{2})$
55968	Find the Equation Using Slope-Intercept Form	(x^2+y^2)^2=4x^2y , (1,1)	${(x^{2} + y^{2})}^{2} = 4 x^{2} y$ , $(1, 1)$
55969	Find Where the Mean Value Theorem is Satisfied	f(x)=x/(x+1) , [1,2]	$f (x) = \frac{x}{x + 1}$ , $[1, 2]$
55970	Find Where the Mean Value Theorem is Satisfied	f(x)=x/(x+7) , [1,14]	$f (x) = \frac{x}{x + 7}$ , $[1, 14]$
55971	Find Where the Mean Value Theorem is Satisfied	f(x)=(x^2-3x-4)/(x+2) , [-1,4]	$f (x) = \frac{x^{2} - 3 x - 4}{x + 2}$ , $[- 1, 4]$
55972	Find Where the Mean Value Theorem is Satisfied	f(x) = square root of 3-x , [-22,3]	$f (x) = \sqrt{3 - x}$ , $[- 22, 3]$
55973	Find Where the Mean Value Theorem is Satisfied	f(x)=3x^2+6x-5 , [-2,10]	$f (x) = 3 x^{2} + 6 x - 5$ , $[- 2, 10]$
55974	Find Where the Mean Value Theorem is Satisfied	f(x) = square root of 7-x , [-2,7]	$f (x) = \sqrt{7 - x}$ , $[- 2, 7]$
55975	Find Where the Mean Value Theorem is Satisfied	f(x)=2sin(x) , [0,2pi]	$f (x) = 2 \sin (x)$ , $[0, 2 π]$
55976	Find Where the Mean Value Theorem is Satisfied	f(x)=2x^2-5x+1 , [0,2]	$f (x) = 2 x^{2} - 5 x + 1$ , $[0, 2]$
55977	Find Where the Mean Value Theorem is Satisfied	f(x)=4 square root of 4-x^2 , [0,2]	$f (x) = 4 \sqrt{4 - x^{2}}$ , $[0, 2]$
55978	Find Where the Mean Value Theorem is Satisfied	f(x)=4x^2-3x+2 , [0,2]	$f (x) = 4 x^{2} - 3 x + 2$ , $[0, 2]$
55979	Find Where the Mean Value Theorem is Satisfied	f(x)=7sin(x) , [0,2pi]	$f (x) = 7 \sin (x)$ , $[0, 2 π]$
55980	Find Where the Mean Value Theorem is Satisfied	f(x) = natural log of x , [1,7]	$f (x) = \ln (x)$ , $[1, 7]$
55981	Find Where the Mean Value Theorem is Satisfied	f(x)=sin(2x) , [0,2pi]	$f (x) = \sin (2 x)$ , $[0, 2 π]$
55982	Find Where the Mean Value Theorem is Satisfied	f(x)=-x^2+2x , [0,2]	$f (x) = - x^{2} + 2 x$ , $[0, 2]$
55983	Find Where the Mean Value Theorem is Satisfied	f(x)=x^3+x-7 , [0,2]	$f (x) = x^{3} + x - 7$ , $[0, 2]$
55984	Find Where the Mean Value Theorem is Satisfied	f(x)=x^3-9x , [0,3]	$f (x) = x^{3} - 9 x$ , $[0, 3]$
55985	Find the Domain	f(x,y) = square root of y-x^2	$f (x, y) = \sqrt{y - x^{2}}$
55986	Find the Domain	y=\|x^2-49\|	$y = \| x^{2} - 49 \|$
55987	Find the Domain	f(x,y) = square root of 16-x^2-4y^2	$f (x, y) = \sqrt{16 - x^{2} - 4 y^{2}}$
55988	Find the Domain	f(x,y) = square root of 25-x^2-y^2	$f (x, y) = \sqrt{25 - x^{2} - y^{2}}$
55989	Find the Domain	y=-100x^(-1/4)	$y = - 100 x^{- \frac{1}{4}}$
55990	Find the Domain	y=arccos(cos(x))	$y = \arccos (\cos (x))$
55991	Find the Domain	y = natural log of x^2-5x+6	$y = \ln (x^{2} - 5 x + 6)$
55992	Find the Antiderivative	f(p)=5(p^2-8)^4(2p)	$f (p) = 5 {(p^{2} - 8)}^{4} (2 p)$
55993	Find the Antiderivative	f(x)=5-2x^3	$f (x) = 5 - 2 x^{3}$
55994	Find the Antiderivative	f(x)=7x^2-3x	$f (x) = 7 x^{2} - 3 x$
55995	Find the Antiderivative	f(x)=7x^2-7x	$f (x) = 7 x^{2} - 7 x$
55996	Find the Antiderivative	f(x)=7x^2-9x	$f (x) = 7 x^{2} - 9 x$
55997	Find the Antiderivative	f(x)=9x^2-1	$f (x) = 9 x^{2} - 1$
55998	Find the Antiderivative	f(x)=cos(4x)	$f (x) = \cos (4 x)$
55999	Find the Antiderivative	f(x)=cos(6x)	$f (x) = \cos (6 x)$
56000	Find the Antiderivative	h(theta)=2sin(theta)-sec(theta)^2	$h (θ) = 2 \sin (θ) - \sec^{2} (θ)$