Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
7901	Find dy/dx	2y^2=(5x-3)/(5x+3)	$2 y^{2} = \frac{5 x - 3}{5 x + 3}$
7902	Find dy/dx	2x+3y=7	$2 x + 3 y = 7$
7903	Find dy/dx	3x^2-y^2=1	$3 x^{2} - y^{2} = 1$
7904	Find dy/dx	3x^2+y^2=6	$3 x^{2} + y^{2} = 6$
7905	Find the Derivative - d/dx	9/( square root of x)	$\frac{9}{\sqrt{x}}$
7906	Find dx/dt	x^3+t^3x+t^2-7=0	$x^{3} + t^{3} x + t^{2} - 7 = 0$
7907	Find ds/dx	5.5=14s-14x	$5.5 = 14 s - 14 x$
7908	Find dw/dt	w=3/(t^3)	$w = \frac{3}{t^{3}}$
7909	Find dy/dw	w=2/3-(y^2)/5+(4y^2)/3	$w = \frac{2}{3} - \frac{y^{2}}{5} + \frac{4 y^{2}}{3}$
7910	Find dy/dx	2x^2+x+xy=1	$2 x^{2} + x + x y = 1$
7911	Find du/dt	u = seventh root of t+6 square root of t^7	$u = \sqrt[7]{t} + 6 \sqrt{t^{7}}$
7912	Find du/dv	u=v^2 square root of 10v-9	$u = v^{2} \sqrt{10 v - 9}$
7913	Find dy/dx	y=arctan(e^(x^4))	$y = \arctan (e^{x^{4}})$
7914	Find dp/dq	p=400e^(-0.2q)	$p = 400 e^{- 0.2 q}$
7915	Find dy/dx	y=x(x-4)^3	$y = x {(x - 4)}^{3}$
7916	Find the Local Maxima and Minima	y=3x^(2/3)-2x	$y = 3 x^{\frac{2}{3}} - 2 x$
7917	Find dy/dX	y=(X^2+4X+3)/( square root of X)	$y = \frac{X^{2} + 4 X + 3}{\sqrt{X}}$
7918	Find dy/dx	y=1/12*((sec(3x)^2)(tan(3x)^2-1))	$y = \frac{1}{12} \cdot ((\sec^{2} (3 x)) (\tan^{2} (3 x) - 1))$
7919	Find the Inflection Points	f(x)=1/3x^3+6x^2	$f (x) = \frac{1}{3} x^{3} + 6 x^{2}$
7920	Find dy/dx	y=3x^6	$y = 3 x^{6}$
7921	Find dy/dx	y = square root of 2x	$y = \sqrt{2 x}$
7922	Find dy/da	x^3-3axy+y^3=0	$x^{3} - 3 a x y + y^{3} = 0$
7923	Find dy/dx	ysin(8x)=xcos(2y)	$y \sin (8 x) = x \cos (2 y)$
7924	Find the Implicit Differentiation - dy/dn	y = natural log of 3	$y = \ln (3)$
7925	Find dy/dt	y=2-7t	$y = 2 - 7 t$
7926	Find dy/dt	y=2-t	$y = 2 - t$
7927	Evaluate the Integral	integral of x^11e^(x^12) with respect to x	$\int x^{11} e^{x^{12}} d x$
7928	Find dy/dX	y^5+X^2y^3=1+X^4y	$y^{5} + X^{2} y^{3} = 1 + X^{4} y$
7929	Find dy/dx	cos(x)+ square root of y=8	$\cos (x) + \sqrt{y} = 8$
7930	Evaluate the Integral	integral of 4x^3 with respect to x	$\int 4 x^{3} d x$
7931	Find dy/dx	square root of x^4+y^2=5x+2y^3	$\sqrt{x^{4} + y^{2}} = 5 x + 2 y^{3}$
7932	Find dx/dt	x=t-t^-1	$x = t - t^{- 1}$
7933	Find dx/du	x=8uv	$x = 8 u v$
7934	Find dy/dx	e^(4x)=sin(x+9y)	$e^{4 x} = \sin (x + 9 y)$
7935	Find dy/dx	x^3-y^2=5	$x^{3} - y^{2} = 5$
7936	Find dy/dx	5x^2y-picos(y)=6pi	$5 x^{2} y - π \cos (y) = 6 π$
7937	Find dy/dx	6x^2+y^2=8	$6 x^{2} + y^{2} = 8$
7938	Find the Derivative - d/dx	y=arctan( square root of (1-x)/(1+x))	$y = \arctan (\sqrt{\frac{1 - x}{1 + x}})$
7939	Find dy/dx	7x^2+4y^2=1	$7 x^{2} + 4 y^{2} = 1$
7940	Find dy/dx	3x+2y=5	$3 x + 2 y = 5$
7941	Find dy/dx	3y^2=(5x-4)/(5x+4)	$3 y^{2} = \frac{5 x - 4}{5 x + 4}$
7942	Find dy/dx	2x+5y=xy	$2 x + 5 y = x y$
7943	Find dy/dx	3x^2+2xy-6y^2=1	$3 x^{2} + 2 x y - 6 y^{2} = 1$
7944	Find dy/dx	3(x^2+y^2)^2=100xy	$3 {(x^{2} + y^{2})}^{2} = 100 x y$
7945	Evaluate the Limit	limit as x approaches 12 of (x^2-144)/(x-12)	$lim_{x \to 12} \frac{x^{2} - 144}{x - 12}$
7946	Find dy/dx	3x^2+xy+3y^2=7	$3 x^{2} + x y + 3 y^{2} = 7$
7947	Find the Antiderivative	x^2+1	$x^{2} + 1$
7948	Find dy/dx	2x^2-y^2=4	$2 x^{2} - y^{2} = 4$
7949	Find dy/dx	2x^2-y^2=1	$2 x^{2} - y^{2} = 1$
7950	Find dy/dx	2x^2+y^2=17	$2 x^{2} + y^{2} = 17$
7951	Find dy/dx	y^2-x^3=41	$y^{2} - x^{3} = 41$
7952	Find dy/dx	xy^3=2	$x y^{3} = 2$
7953	Find dy/dx	x^3+y^3=8xy-5	$x^{3} + y^{3} = 8 x y - 5$
7954	Find dy/dx	y^2=x/(x+1)	$y^{2} = \frac{x}{x + 1}$
7955	Find dy/dx	y^2=4x	$y^{2} = 4 x$
7956	Find dy/dx	xy^2+8xy=14	$x y^{2} + 8 x y = 14$
7957	Find dy/dx	y^3=4x	$y^{3} = 4 x$
7958	Find dy/dx	y^2-2x^3=33	$y^{2} - 2 x^{3} = 33$
7959	Find dy/dx	y^2-50xy=600	$y^{2} - 50 x y = 600$
7960	Find dy/dx	y^2-xy+x^2=8	$y^{2} - x y + x^{2} = 8$
7961	Find dy/dx	y^2-xy-6=0	$y^{2} - x y - 6 = 0$
7962	Evaluate	sin(1/(2/pi))	$\sin (\frac{1}{\frac{2}{π}})$
7963	Find dy/dx	y^3+x^2y^5-x^4=27	$y^{3} + x^{2} y^{5} - x^{4} = 27$
7964	Find dy/dx	y^3+3x^2y+13=0	$y^{3} + 3 x^{2} y + 13 = 0$
7965	Evaluate the Limit	limit as t approaches -6 of (t^3+216)/(t+6)	$lim_{t \to - 6} \frac{t^{3} + 216}{t + 6}$
7966	Find dy/dx	12x^3y^2-4y^3=2	$12 x^{3} y^{2} - 4 y^{3} = 2$
7967	Find dy/dx	1+ natural log of xy=e^(x-y)	$1 + \ln (x y) = e^{x - y}$
7968	Find dy/dx	162=yx^2	$162 = y x^{2}$
7969	Evaluate the Limit	limit as x approaches -1 of (x^2-5x)/(x^2-4x-5)	$lim_{x \to - 1} \frac{x^{2} - 5 x}{x^{2} - 4 x - 5}$
7970	Find dy/dX	X^3+y^3=26	$X^{3} + y^{3} = 26$
7971	Find dy/dx	x^3-xy+y^3=1	$x^{3} - x y + y^{3} = 1$
7972	Find dy/dx	x^4+7x+6xy-y^7=9	$x^{4} + 7 x + 6 x y - y^{7} = 9$
7973	Find dy/dx	x^6y+y^6x=3	$x^{6} y + y^{6} x = 3$
7974	Find dy/dx	x^2-4xy+y^2=1	$x^{2} - 4 x y + y^{2} = 1$
7975	Find dy/dx	x^2-3y^2=4	$x^{2} - 3 y^{2} = 4$
7976	Find the Derivative - d/dx	log base 7 of x	$\log_{7} (x)$
7977	Find dy/dx	x^2y-y^2=4	$x^{2} y - y^{2} = 4$
7978	Find dy/dx	x^2y-xy^2+x^2+y^2=0	$x^{2} y - x y^{2} + x^{2} + y^{2} = 0$
7979	Find dy/dx	x^3-x^2-xy=4	$x^{3} - x^{2} - x y = 4$
7980	Find dy/dx	y=(x+1)(x^2-1)	$y = (x + 1) (x^{2} - 1)$
7981	Find dy/dx	y=(4x-3)^2	$y = {(4 x - 3)}^{2}$
7982	Find the Antiderivative	csc(x)	$\csc (x)$
7983	Find dy/dx	x^2+y^2=169	$x^{2} + y^{2} = 169$
7984	Find dy/dx	x^2+y^2=14x	$x^{2} + y^{2} = 14 x$
7985	Find dy/dx	square root of x+ square root of y=3	$\sqrt{x} + \sqrt{y} = 3$
7986	Find the Derivative - d/d@VAR	f(x) = square root of x+7	$f (x) = \sqrt{x + 7}$
7987	Find the Derivative - d/d@VAR	f(x)=9-x^2	$f (x) = 9 - x^{2}$
7988	Find dy/dx	square root of xy=x-4y	$\sqrt{x y} = x - 4 y$
7989	Find the Derivative - d/d?	cot(cos(theta))^2	$\cot^{2} (\cos (θ))$
7990	Find dy/dx	(dy)/(dx)=-x/y	$\frac{d y}{d x} = - \frac{x}{y}$
7991	Find dy/dx	e^(x/y)=4x-y	$e^{\frac{x}{y}} = 4 x - y$
7992	Find dy/dx	y=x^2	$y = x^{2}$
7993	Find dy/dx	(6x-y)^2-5y=2	${(6 x - y)}^{2} - 5 y = 2$
7994	Find dy/d?	y=3cot(nx)	$y = 3 \cot (n x)$
7995	Find dy/dt	y=(4t-1)(2t-2)^-1	$y = (4 t - 1) {(2 t - 2)}^{- 1}$
7996	Find dy/du	y=ucos(u)	$y =$ ucos $(u)$
7997	Find dy/du	y=e^u	$y = e^{u}$
7998	Find dy/dt	y=cos( square root of 6t+12)	$y = \cos (\sqrt{6 t + 12})$
7999	Find dy/dt	y=tan( square root of 7t)	$y = \tan (\sqrt{7 t})$
8000	Find dx/dy	y=17^x	$y = 17^{x}$