Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
86801	Find the Tangent Line at (-1,2)	y=(-4x)/(x^2+1) at the origin and at the point (-1,2)	$y = \frac{- 4 x}{x^{2} + 1}$ at the origin and at the point $(- 1, 2)$
86802	Find the Tangent Line at (1,3)	y=3x^2-x+1 at (1,3)	$y = 3 x^{2} - x + 1$ at $(1, 3)$
86803	Find the Tangent Line at (8,3/8)	f(x)=3/x at (8,3/8)	$f (x) = \frac{3}{x}$ at $(8, \frac{3}{8})$
86804	Find the Tangent Line at (1,1/8)	y=(x^2)/(7+x) , (1,1/8)	$y = \frac{x^{2}}{7 + x}$ , $(1, \frac{1}{8})$
86805	Find the Tangent Line at (1,-5)	f(x)=x^3-7x+1 ; (1,-5)	$f (x) = x^{3} - 7 x + 1$ ; $(1, - 5)$
86806	Find the Tangent Line at (4,54)	y=x^3-3x+2 , (4,54)	$y = x^{3} - 3 x + 2$ , $(4, 54)$
86807	Find the Tangent Line at x=1/2⋅ln(2)	y=e^(2x) at x=1/2 natural log of 2	$y = e^{2 x}$ at $x = \frac{1}{2} \ln (2)$
86808	Find the Tangent Line at x=3	f(x)=x^2-5 at x=3	$f (x) = x^{2} - 5$ at $x = 3$
86809	Find the Tangent Line at (-1,3)	y=(6x)/(x-1) at (-1,3)	$y = \frac{6 x}{x - 1}$ at $(- 1, 3)$
86810	Find the Tangent Line at (1,1/2)	y=1/(2x^3) , (1,1/2)	$y = \frac{1}{2 x^{3}}$ , $(1, \frac{1}{2})$
86811	Find the Tangent Line at (0,1/3)	f(x)=(e^x)/(x+3) , (0,1/3)	$f (x) = \frac{e^{x}}{x + 3}$ , $(0, \frac{1}{3})$
86812	Find the Tangent Line at (-1,6)	f(x)=5/( cube root of x^2)-x ; , (-1,6)	$f (x) = \frac{5}{\sqrt[3]{x^{2}}} - x$ ; , $(- 1, 6)$
86813	Find the Tangent Line at x=0	f(x)=2x^2-1 ; x=0	$f (x) = 2 x^{2} - 1$ ; $x = 0$
86814	Find the Tangent Line at (2,5)	f(x) = square root of 7x+11 , (2,5)	$f (x) = \sqrt{7 x + 11}$ , $(2, 5)$
86815	Find the Tangent Line at (2,4)	f(x) = square root of 7x+2 , (2,4)	$f (x) = \sqrt{7 x + 2}$ , $(2, 4)$
86816	Find the Tangent Line at (2,2)	y = square root of 2x at (2,2)	$y = \sqrt{2 x}$ at $(2, 2)$
86817	Find the Tangent Line at (2,4)	y=x^2 , (2,4)	$y = x^{2}$ , $(2, 4)$
86818	Find the Tangent Line at (4,20)	f(x)=x^2+4 at (4,20)	$f (x) = x^{2} + 4$ at $(4, 20)$
86819	Find the Tangent Line at (π/6,2(√(3)/3))	y=sec(x) , (pi/6,2( square root of 3)/3)	$y = \sec (x)$ , $(\frac{π}{6}, 2 \frac{\sqrt{3}}{3})$
86820	Find the Tangent Line at (2,4)	y=x^3-3x+2 , (2,4)	$y = x^{3} - 3 x + 2$ , $(2, 4)$
86821	Find the Tangent Line at (5,0)	f(x)=25-x^2 , (5,0)	$f (x) = 25 - x^{2}$ , $(5, 0)$
86822	Find the Tangent Line at (5,0)	y=(x^3-25x)^14 at the point (5,0)	$y = {(x^{3} - 25 x)}^{14}$ at the point $(5, 0)$
86823	Find the Tangent Line at (2,-2)	2xy-2x+y=-14 ; (2,-2)	$2 x y - 2 x + y = - 14$ ; $(2, - 2)$
86824	Find the Tangent Line at x=e⁵	f(x) = natural log of x^4 ; x=e^5	$f (x) = \ln (x^{4})$ ; $x = e^{5}$
86825	Find the Tangent Line at (3,1)	3(x^2+y^2)^2=100xy^2 ; (3,1)	$3 {(x^{2} + y^{2})}^{2} = 100 x y^{2}$ ; $(3, 1)$
86826	Find the Tangent Line at (-1,1)	y=(2x)/(x-1) at (-1,1)	$y = \frac{2 x}{x - 1}$ at $(- 1, 1)$
86827	Find the Tangent Line at (1,2)	y=3x^2-2x+1 , (1,2)	$y = 3 x^{2} - 2 x + 1$ , $(1, 2)$
86828	Find the Tangent Line at (-4,3)	x^2+y^2=25 ; (-4,3)	$x^{2} + y^{2} = 25$ ; $(- 4, 3)$
86829	Find the Tangent Line at (2,1)	2(x^2+y^2)^2=25xy^2 ; (2,1)	$2 {(x^{2} + y^{2})}^{2} = 25 x y^{2}$ ; $(2, 1)$
86830	Find the Tangent Line at (1,-5)	f(x)=(x-2)(x^2+4) , (1,-5)	$f (x) = (x - 2) (x^{2} + 4)$ , $(1, - 5)$
86831	Find the Tangent Line at (3,5)	f(x) = square root of 3x+16 , (3,5)	$f (x) = \sqrt{3 x + 16}$ , $(3, 5)$
86832	Find the Tangent Line at (4,12)	f(x)=x^2-x at (4,12)	$f (x) = x^{2} - x$ at $(4, 12)$
86833	Find the Tangent Line at (1,5)	y=x^4+5x^2-x , (1,5)	$y = x^{4} + 5 x^{2} - x$ , $(1, 5)$
86834	Find the Tangent Line at (-1,-3)	y=(6x)/(x^2+1) , (-1,-3)	$y = \frac{6 x}{x^{2} + 1}$ , $(- 1, - 3)$
86835	Find the Tangent Line at (5,5)	f(x) = square root of 5x at (5,5)	$f (x) = \sqrt{5 x}$ at $(5, 5)$
86836	Find the Tangent Line at x=11	f(x)=( natural log of x)^4 at x=11	$f (x) = \ln^{4} (x)$ at $x = 11$
86837	Find the Tangent Line at (π/4,1)	f(x)=tan(x)^2 , (pi/4,1)	$f (x) = \tan^{2} (x)$ , $(\frac{π}{4}, 1)$
86838	Find the Tangent Line at (-1,-9)	f(x)=5x-4x^2 at (-1,-9)	$f (x) = 5 x - 4 x^{2}$ at $(- 1, - 9)$
86839	Find the Tangent Line at (8,4)	y = square root of 2x at (8,4)	$y = \sqrt{2 x}$ at $(8, 4)$
86840	Find the Tangent Line at (6,6)	y = square root of 6x at (6,6)	$y = \sqrt{6 x}$ at $(6, 6)$
86841	Find the Tangent Line at x=1	y = square root of x+3 , x=1	$y = \sqrt{x + 3}$ , $x = 1$
86842	Find the Tangent Line at x=2	f(x)=x^2+3 at x=2	$f (x) = x^{2} + 3$ at $x = 2$
86843	Find the Tangent Line at (18,6)	f(x) = square root of 2x at (18,6)	$f (x) = \sqrt{2 x}$ at $(18, 6)$
86844	Find the Tangent Line at (3,1)	2(x^2+y^2)^2=25(x^2-y^2) at (3,1)	$2 {(x^{2} + y^{2})}^{2} = 25 (x^{2} - y^{2})$ at $(3, 1)$
86845	Find the Tangent Line at x=1	f(x)=8- natural log of x ; x=1	$f (x) = 8 - \ln (x)$ ; $x = 1$
86846	Find the Tangent Line at (1,-1)	(x-y-1)^3=x ; (1,-1)	${(x - y - 1)}^{3} = x$ ; $(1, - 1)$
86847	Find the Tangent Line at (-2,0)	y=(x^3-4x)^8 at the point (-2,0)	$y = {(x^{3} - 4 x)}^{8}$ at the point $(- 2, 0)$
86848	Find the Tangent Line at (0,3)	g(x)=3e^(-5x) at the point (0,3)	$g (x) = 3 e^{- 5 x}$ at the point $(0, 3)$
86849	Find the Tangent Line at (5,16)	y=2x^2-7x+1 , (5,16)	$y = 2 x^{2} - 7 x + 1$ , $(5, 16)$
86850	Find the Tangent Line at (2,3)	y = square root of x^3+1 at (2,3)	$y = \sqrt{x^{3} + 1}$ at $(2, 3)$
86851	Find the Tangent Line at (5,16)	y=3x^2-12x+1 , (5,16)	$y = 3 x^{2} - 12 x + 1$ , $(5, 16)$
86852	Find the Tangent Line at (-2,-14)	f(x)=3x-2x^2 at (-2,-14)	$f (x) = 3 x - 2 x^{2}$ at $(- 2, - 14)$
86853	Find the Tangent Line at (2,6)	y=x^3-2x+2 , (2,6)	$y = x^{3} - 2 x + 2$ , $(2, 6)$
86854	Find the Tangent Line at (-1,0)	f(x)=1/2x natural log of x^4 , (-1,0)	$f (x) = \frac{1}{2} x \ln (x^{4})$ , $(- 1, 0)$
86855	Find the Tangent Line at (2,13)	y=2x^3-x^2+1 , (2,13)	$y = 2 x^{3} - x^{2} + 1$ , $(2, 13)$
86856	Find the Tangent Line at (1,1)	y=(\|x\|)/( square root of 2-x^2) , (1,1)	$y = \frac{\| x \|}{\sqrt{2 - x^{2}}}$ , $(1, 1)$
86857	Find the Tangent Line at (-1,1)	f(x)=3x^2+2x , (-1,1)	$f (x) = 3 x^{2} + 2 x$ , $(- 1, 1)$
86858	Find the Tangent Line at (-9,-1/3)	f(x)=3/x at (-9,-1/3)	$f (x) = \frac{3}{x}$ at $(- 9, - \frac{1}{3})$
86859	Find the Tangent Line at (-1,2)	y = square root of 1-3x , (-1,2)	$y = \sqrt{1 - 3 x}$ , $(- 1, 2)$
86860	Find the Tangent Line at (-3,-39)	f(x)=7x-2x^2 at (-3,-39)	$f (x) = 7 x - 2 x^{2}$ at $(- 3, - 39)$
86861	Find the Tangent Line at (1,2)	y=(4x)/(x^2+1) , (1,2)	$y = \frac{4 x}{x^{2} + 1}$ , $(1, 2)$
86862	Find the Tangent Line at (4,5/2)	f(x)=x^(1/2)+2x^-1 at the point (4,5/2)	$f (x) = x^{\frac{1}{2}} + 2 x^{- 1}$ at the point $(4, \frac{5}{2})$
86863	Find the Tangent Line at (-1,1)	(x^2+y^2)^2=4x^2y , (-1,1)	${(x^{2} + y^{2})}^{2} = 4 x^{2} y$ , $(- 1, 1)$
86864	Find the Tangent Line at (5,18)	f(x)=x^2-7 , (5,18)	$f (x) = x^{2} - 7$ , $(5, 18)$
86865	Find the Tangent Line at (11,11)	x^3+y^3=22xy ; (11,11)	$x^{3} + y^{3} = 22 x y$ ; $(11, 11)$
86866	Find the Tangent Line at (9,3)	Given: x^2=y^4 Find the equation of the tangent line at (9,3)	Given: $x^{2} = y^{4}$ Find the equation of the tangent line at $(9, 3)$
86867	Find the Tangent Line at (-1,1)	y=-1/(x^3) , (-1,1)	$y = - \frac{1}{x^{3}}$ , $(- 1, 1)$
86868	Find the Tangent Line at (3,4)	y=2x^2-5x+1 , (3,4)	$y = 2 x^{2} - 5 x + 1$ , $(3, 4)$
86869	Find the Tangent Line at (-1,-11)	f(x)=9x-2x^2 at (-1,-11)	$f (x) = 9 x - 2 x^{2}$ at $(- 1, - 11)$
86870	Find the Tangent Line at (1,1/2)	1/(1+x^2) , (1,1/2)	$\frac{1}{1 + x^{2}}$ , $(1, \frac{1}{2})$
86871	Find the Tangent Line at (-4,18)	f(x)=x^2+2 at (-4,18)	$f (x) = x^{2} + 2$ at $(- 4, 18)$
86872	Find the Tangent Line at (1,4)	y=(8x)/(x^2+1) at the origin and at the point (1,4)	$y = \frac{8 x}{x^{2} + 1}$ at the origin and at the point $(1, 4)$
86873	Find the Tangent Line at (0,6)	y=6e^xcos(x) , (0,6)	$y = 6 e^{x} \cos (x)$ , $(0, 6)$
86874	Find the Tangent Line at x=1	y=x^(cos(x)) ; x=1	$y = x^{\cos (x)}$ ; $x = 1$
86875	Find the Tangent Line at (-1,-1)	y=(2x)/(x^2+1) , (-1,-1)	$y = \frac{2 x}{x^{2} + 1}$ , $(- 1, - 1)$
86876	Find the Tangent Line at x=-1	f(x)=1/(x-3) ; x=-1	$f (x) = \frac{1}{x - 3}$ ; $x = - 1$
86877	Find the Tangent Line at x=2	y=x^2-6x+9 , at x=2	$y = x^{2} - 6 x + 9$ , at $x = 2$
86878	Find the Tangent Line at (2,26)	y=3x^3-x^2+6 , (2,26)	$y = 3 x^{3} - x^{2} + 6$ , $(2, 26)$
86879	Find the Tangent Line at (-1,-1)	y=(2x)/(x^2+1) at the origin and at the point (-1,-1)	$y = \frac{2 x}{x^{2} + 1}$ at the origin and at the point $(- 1, - 1)$
86880	Find the Tangent Line at x=2	f(x)=x(x^2-4x+5)^8 ; x=2	$f (x) = x {(x^{2} - 4 x + 5)}^{8}$ ; $x = 2$
86881	Find the Tangent Line at (1,1/6)	y=(x^2)/(5+x) , (1,1/6)	$y = \frac{x^{2}}{5 + x}$ , $(1, \frac{1}{6})$
86882	Find the Tangent Line at (2,1/24)	y=1/(3x^3) , (2,1/24)	$y = \frac{1}{3 x^{3}}$ , $(2, \frac{1}{24})$
86883	Find the Tangent Line at (1,-4)	y=(-8x)/(x^2+1) at the origin and at the point (1,-4)	$y = \frac{- 8 x}{x^{2} + 1}$ at the origin and at the point $(1, - 4)$
86884	Find the Tangent Line at (1,-7)	y=x^3-8x , (1,-7)	$y = x^{3} - 8 x$ , $(1, - 7)$
86885	Find the Tangent Line at (5,6)	y=3x^2-14x+1 , (5,6)	$y = 3 x^{2} - 14 x + 1$ , $(5, 6)$
86886	Find the Tangent Line at x=-π/4	f(x)=-2-cos(x) at x=-pi/4	$f (x) = - 2 - \cos (x)$ at $x = - \frac{π}{4}$
86887	Find the Tangent Line at x=e²	f(x) = natural log of x^4 ; x=e^2	$f (x) = \ln (x^{4})$ ; $x = e^{2}$
86888	Find the Tangent Line at (0,8)	y=x^4+8e^x , (0,8)	$y = x^{4} + 8 e^{x}$ , $(0, 8)$
86889	Find the Tangent Line at (1,0.25)	y=( square root of x)/(x+3) , (1,0.25)	$y = \frac{\sqrt{x}}{x + 3}$ , $(1, 0.25)$
86890	Find the Tangent Line at x=2	y=x^2+x-1 ; x=2	$y = x^{2} + x - 1$ ; $x = 2$
86891	Find the Tangent Line at x=2	y=1/((x^2-1)^3) ; x=2	$y = \frac{1}{{(x^{2} - 1)}^{3}}$ ; $x = 2$
86892	Find the Tangent Line at (2,0)	y=2x^3-8x , (2,0)	$y = 2 x^{3} - 8 x$ , $(2, 0)$
86893	Find the Tangent Line at (17,17)	x^3+y^3=34xy ; (17,17)	$x^{3} + y^{3} = 34 x y$ ; $(17, 17)$
86894	Find the Tangent Line at (5,11)	y=2x^2-8x+1 , (5,11)	$y = 2 x^{2} - 8 x + 1$ , $(5, 11)$
86895	Find the Tangent Line at (-1,2)	y=(-4x)/(x^2+1) , (-1,2)	$y = \frac{- 4 x}{x^{2} + 1}$ , $(- 1, 2)$
86896	Find the Tangent Line at x=1	y=x^(tan(x)) , x=1	$y = x^{\tan (x)}$ , $x = 1$
86897	Find the Tangent Line at (4,2)	3(x^2+y^2)^2=100(x^2-y^2) , (4,2)	$3 {(x^{2} + y^{2})}^{2} = 100 (x^{2} - y^{2})$ , $(4, 2)$
86898	Find the Tangent Line at (0,1/2)	y=(1+x)/(1+e^x) , (0,1/2)	$y = \frac{1 + x}{1 + e^{x}}$ , $(0, \frac{1}{2})$
86899	Find the Tangent Line at x=3	f(x)=x^2+2 at x=3	$f (x) = x^{2} + 2$ at $x = 3$
86900	Find the Tangent Line at (2,6)	f(x)=x^2+2 at (2,6)	$f (x) = x^{2} + 2$ at $(2, 6)$