Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
86201	Find the Tangent Line at (3,3)	y=x^2-4x+6 at (3,3)	$y = x^{2} - 4 x + 6$ at $(3, 3)$
86202	Find the Tangent Line at (1,5)	y=x^4+5x^2-x , (1,5)	$y = x^{4} + 5 x^{2} - x$ , $(1, 5)$
86203	Find the Tangent Line at (1,4)	y=x^4+4x^2-x , (1,4)	$y = x^{4} + 4 x^{2} - x$ , $(1, 4)$
86204	Find the Tangent Line at (0,7)	y=7e^x+x , (0,7)	$y = 7 e^{x} + x$ , $(0, 7)$
86205	Find the Tangent Line at (1,3)	y=2x^3-x^2+2 , (1,3)	$y = 2 x^{3} - x^{2} + 2$ , $(1, 3)$
86206	Find the Tangent Line at (9,3)	x^2=y^4 , (9,3)	$x^{2} = y^{4}$ , $(9, 3)$
86207	Find the Tangent Line at x=-2	f(x) = square root of x^2+3 , x=-2	$f (x) = \sqrt{x^{2} + 3}$ , $x = - 2$
86208	Find the Tangent Line at (2,0)	y=2x^3-8x at the point (2,0)	$y = 2 x^{3} - 8 x$ at the point $(2, 0)$
86209	Find the Tangent Line at x=π/3	y=4sin(x)cos(x) ; x=pi/3	$y = 4 \sin (x) \cos (x)$ ; $x = \frac{π}{3}$
86210	Find the Tangent Line at (2,5)	y=x^3-2x+1 , (2,5)	$y = x^{3} - 2 x + 1$ , $(2, 5)$
86211	Find the Tangent Line at (1,4)	x^2+xy-y^2=-11 , (1,4)	$x^{2} + x y - y^{2} = - 11$ , $(1, 4)$
86212	Find the Tangent Line at (3,4)	x^2+xy-y^2=5 , (3,4)	$x^{2} + x y - y^{2} = 5$ , $(3, 4)$
86213	Find the Tangent Line at (2,5)	x^2+xy-y^2=-11 , (2,5)	$x^{2} + x y - y^{2} = - 11$ , $(2, 5)$
86214	Find the Tangent Line at (1,2)	f(x)=x^2+2x-1 , (1,2)	$f (x) = x^{2} + 2 x - 1$ , $(1, 2)$
86215	Find the Tangent Line at (4,57)	y=x^3-2x+1 , (4,57)	$y = x^{3} - 2 x + 1$ , $(4, 57)$
86216	Find the Tangent Line at (-2,48)	g(x)=3x^4 ; (-2,48)	$g (x) = 3 x^{4}$ ; $(- 2, 48)$
86217	Find the Tangent Line at (0,1/3)	y=(1+x)/(2+e^x) , (0,1/3)	$y = \frac{1 + x}{2 + e^{x}}$ , $(0, \frac{1}{3})$
86218	Find the Tangent Line at (1,1)	8x^2+xy+8y^2=17 , (1,1)	$8 x^{2} + x y + 8 y^{2} = 17$ , $(1, 1)$
86219	Find the Tangent Line at (1,0)	y=3x^3-3x at the point (1,0)	$y = 3 x^{3} - 3 x$ at the point $(1, 0)$
86220	Find the Tangent Line at (0,1/8)	y=(1+x)/(7+e^x) , (0,1/8)	$y = \frac{1 + x}{7 + e^{x}}$ , $(0, \frac{1}{8})$
86221	Find the Tangent Line at (4,5)	x^2+xy-y^2=11 , (4,5)	$x^{2} + x y - y^{2} = 11$ , $(4, 5)$
86222	Find the Tangent Line at (-1,1)	y = square root of 2+x^3 , (-1,1)	$y = \sqrt{2 + x^{3}}$ , $(- 1, 1)$
86223	Find the Tangent Line at x=π/2	y=cos(x) at x=pi/2	$y = \cos (x)$ at $x = \frac{π}{2}$
86224	Find the Tangent Line at (0,7)	y=x^4+7e^x , (0,7)	$y = x^{4} + 7 e^{x}$ , $(0, 7)$
86225	Find the Tangent Line at (3,0)	y=x^3-9x at the point (3,0)	$y = x^{3} - 9 x$ at the point $(3, 0)$
86226	Find the Tangent Line at (3,2)	x^2+xy-y^2=11 , (3,2)	$x^{2} + x y - y^{2} = 11$ , $(3, 2)$
86227	Find the Tangent Line at (1,6)	f(x)=(x^3+5)(3x^2-4x+2) ; (1,6)	$f (x) = (x^{3} + 5) (3 x^{2} - 4 x + 2)$ ; $(1, 6)$
86228	Find the Tangent Line at (0,1/6)	y=(1+x)/(5+e^x) , (0,1/6)	$y = \frac{1 + x}{5 + e^{x}}$ , $(0, \frac{1}{6})$
86229	Find the Tangent Line at (1,5)	f(x)=6x^2-x^3 , (1,5)	$f (x) = 6 x^{2} - x^{3}$ , $(1, 5)$
86230	Find the Tangent Line at (π/3,2)	y=sec(x) , (pi/3,2)	$y = \sec (x)$ , $(\frac{π}{3}, 2)$
86231	Find the Tangent Line at (3,22)	y=x^3-2x+1 , (3,22)	$y = x^{3} - 2 x + 1$ , $(3, 22)$
86232	Find the Tangent Line at (0,1/4)	y=(1+x)/(3+e^x) , (0,1/4)	$y = \frac{1 + x}{3 + e^{x}}$ , $(0, \frac{1}{4})$
86233	Find the Tangent Line at (0,0)	y=6xe^x , (0,0)	$y = 6 x e^{x}$ , $(0, 0)$
86234	Find the Tangent Line at (0,2)	f(x)=2/3x^2+x+2 at (0,2)	$f (x) = \frac{2}{3} x^{2} + x + 2$ at $(0, 2)$
86235	Find the Tangent Line at (1,5)	f(x)=(x^3+4)(3x^2-4x+2) ; (1,5)	$f (x) = (x^{3} + 4) (3 x^{2} - 4 x + 2)$ ; $(1, 5)$
86236	Find the Tangent Line at (1,2)	y=x^2-4x+5 at (1,2)	$y = x^{2} - 4 x + 5$ at $(1, 2)$
86237	Find the Tangent Line at (0,2)	y=2e^x+x , (0,2)	$y = 2 e^{x} + x$ , $(0, 2)$
86238	Find the Tangent Line at x=5	xy=15 , x=5	$x y = 15$ , $x = 5$
86239	Find the Tangent Line at (1,2)	f(x)=3x^2-x^3 , (1,2)	$f (x) = 3 x^{2} - x^{3}$ , $(1, 2)$
86240	Find the Tangent Line at (4,6)	x^2+xy-y^2=4 , (4,6)	$x^{2} + x y - y^{2} = 4$ , $(4, 6)$
86241	Find the Tangent Line at (4,16)	y=8 square root of x , (4,16)	$y = 8 \sqrt{x}$ , $(4, 16)$
86242	Find the Tangent Line at (0,1/9)	y=(1+x)/(8+e^x) , (0,1/9)	$y = \frac{1 + x}{8 + e^{x}}$ , $(0, \frac{1}{9})$
86243	Find the Tangent Line at (3,5)	x^2+xy-y^2=-1 , (3,5)	$x^{2} + x y - y^{2} = - 1$ , $(3, 5)$
86244	Find the Tangent Line at (4,24)	y=12 square root of x , (4,24)	$y = 12 \sqrt{x}$ , $(4, 24)$
86245	Find the Tangent Line at (-2,0)	y=2x^3-8x at the point (-2,0)	$y = 2 x^{3} - 8 x$ at the point $(- 2, 0)$
86246	Find the Tangent Line at (1,6)	y=x^4+6x^2-x , (1,6)	$y = x^{4} + 6 x^{2} - x$ , $(1, 6)$
86247	Find the Tangent Line at x=π/4	y=2sin(x)cos(x) ; x=pi/4	$y = 2 \sin (x) \cos (x)$ ; $x = \frac{π}{4}$
86248	Find the Tangent Line at (1,-1)	y=-x^3 , (1,-1)	$y = - x^{3}$ , $(1, - 1)$
86249	Find the Tangent Line at (-2,0)	y=x^3-4x at the point (-2,0)	$y = x^{3} - 4 x$ at the point $(- 2, 0)$
86250	Find the Tangent Line at (1,1)	y=x^2-4x+4 at (1,1)	$y = x^{2} - 4 x + 4$ at $(1, 1)$
86251	Find the Tangent Line at (0,1)	y=x^2+2x+1 at (0,1)	$y = x^{2} + 2 x + 1$ at $(0, 1)$
86252	Find the Tangent Line at (π/6,2√(3)/3)	y=sec(x) , (pi/6,(2 square root of 3)/3)	$y = \sec (x)$ , $(\frac{π}{6}, \frac{2 \sqrt{3}}{3})$
86253	Find the Tangent Line at x=4	f(x)=(6x-8)^(1/2) , x=4	$f (x) = {(6 x - 8)}^{\frac{1}{2}}$ , $x = 4$
86254	Find the Tangent Line at (2,0)	y=x^3-4x at the point (2,0)	$y = x^{3} - 4 x$ at the point $(2, 0)$
86255	Find the Tangent Line at (-1,0)	y=3x^3-3x at the point (-1,0)	$y = 3 x^{3} - 3 x$ at the point $(- 1, 0)$
86256	Find the Tangent Line at (3,1)	y=x^2-4x+4 at (3,1)	$y = x^{2} - 4 x + 4$ at $(3, 1)$
86257	Find the Tangent Line at (0,0)	f(x)=x^3-x^2 at (0,0)	$f (x) = x^{3} - x^{2}$ at $(0, 0)$
86258	Find the Tangent Line at (-6,-1/2)	f(x)=3/x at (-6,-1/2)	$f (x) = \frac{3}{x}$ at $(- 6, - \frac{1}{2})$
86259	Find the Tangent Line at (-1,1)	y=-x^3 , (-1,1)	$y = - x^{3}$ , $(- 1, 1)$
86260	Find the Tangent Line at (2,2)	y=x^3-3x at (2,2)	$y = x^{3} - 3 x$ at $(2, 2)$
86261	Find the Tangent Line at (1,0)	y=4x^3-4x at the point (1,0)	$y = 4 x^{3} - 4 x$ at the point $(1, 0)$
86262	Find the Tangent Line at (0,8)	y=x^4+8e^x , (0,8)	$y = x^{4} + 8 e^{x}$ , $(0, 8)$
86263	Find the Tangent Line at (-1,3)	y=4-x^2 , (-1,3)	$y = 4 - x^{2}$ , $(- 1, 3)$
86264	Find the Tangent Line at (1,4)	y=5x-x^2 , (1,4)	$y = 5 x - x^{2}$ , $(1, 4)$
86265	Find the Tangent Line at (0,6)	y=6e^x+x , (0,6)	$y = 6 e^{x} + x$ , $(0, 6)$
86266	Find the Tangent Line at (1,3)	y = square root of 8+x^3 , (1,3)	$y = \sqrt{8 + x^{3}}$ , $(1, 3)$
86267	Find the Tangent Line at (-5,-2/5)	F(x)=2/x at (-5,-2/5)	$F (x) = \frac{2}{x}$ at $(- 5, - \frac{2}{5})$
86268	Find the Tangent Line at (1,9)	y=x^4+9x^2-x , (1,9)	$y = x^{4} + 9 x^{2} - x$ , $(1, 9)$
86269	Find the Tangent Line at (1,7)	y=x^4+7x^2-x , (1,7)	$y = x^{4} + 7 x^{2} - x$ , $(1, 7)$
86270	Find the Tangent Line at x=3	f(x)=(4x-3)^(1/2) , x=3	$f (x) = {(4 x - 3)}^{\frac{1}{2}}$ , $x = 3$
86271	Find the Tangent Line at (1,4)	f(x)=(x^3+3)(3x^2-4x+2) ; (1,4)	$f (x) = (x^{3} + 3) (3 x^{2} - 4 x + 2)$ ; $(1, 4)$
86272	Find the Tangent Line at x=3	f(x)=1/8x^3 at x=3	$f (x) = \frac{1}{8} x^{3}$ at $x = 3$
86273	Find the Tangent Line at (1,6)	y=7x^2-x^3 , (1,6)	$y = 7 x^{2} - x^{3}$ , $(1, 6)$
86274	Find the Tangent Line at (1,1)	f(x)=1/(x^3) at (1,1)	$f (x) = \frac{1}{x^{3}}$ at $(1, 1)$
86275	Find the Tangent Line at (1,6)	y=7x-x^2 , (1,6)	$y = 7 x - x^{2}$ , $(1, 6)$
86276	Find the Tangent Line at (0,3)	y=x^4+3e^x , (0,3)	$y = x^{4} + 3 e^{x}$ , $(0, 3)$
86277	Find the Tangent Line at (3,-3)	y=2/3x^2-3x at (3,-3)	$y = \frac{2}{3} x^{2} - 3 x$ at $(3, - 3)$
86278	Find the Tangent Line at (3,-8)	f(x)=(1-x)(x^2-7)^2 ; (3,-8)	$f (x) = (1 - x) {(x^{2} - 7)}^{2}$ ; $(3, - 8)$
86279	Find the Tangent Line at (1,4)	y=5x^2-x^3 , (1,4)	$y = 5 x^{2} - x^{3}$ , $(1, 4)$
86280	Find the Tangent Line at (-1,-2)	y=2x^3 , (-1,-2)	$y = 2 x^{3}$ , $(- 1, - 2)$
86281	Find the Tangent Line at (1,2)	y=x^4+2x^2-x , (1,2)	$y = x^{4} + 2 x^{2} - x$ , $(1, 2)$
86282	Find the Tangent Line at (0,2)	y=x^2+2x+2 at (0,2)	$y = x^{2} + 2 x + 2$ at $(0, 2)$
86283	Find the Tangent Line at (3,1)	x^2+xy-y^2=11 , (3,1)	$x^{2} + x y - y^{2} = 11$ , $(3, 1)$
86284	Find the Tangent Line at (1,1)	2x^2+xy+2y^2=5 , (1,1)	$2 x^{2} + x y + 2 y^{2} = 5$ , $(1, 1)$
86285	Find the Tangent Line at (4,3)	y = square root of 2x+1 , (4,3)	$y = \sqrt{2 x + 1}$ , $(4, 3)$
86286	Find the Tangent Line at (2,-4)	y=4x-3x^2 , (2,-4)	$y = 4 x - 3 x^{2}$ , $(2, - 4)$
86287	Find the Tangent Line at (4,35/2)	f(x)=4x+x^(-1/2)+1 at the point (4,35/2)	$f (x) = 4 x + x^{- \frac{1}{2}} + 1$ at the point $(4, \frac{35}{2})$
86288	Find the Tangent Line at (1,1/2)	y=1/(1+x^2) , (1,1/2)	$y = \frac{1}{(1 + x^{2})}$ , $(1, \frac{1}{2})$
86289	Find the Tangent Line at (6,1)	(y-3)^2=4(x-5) , (6,1)	${(y - 3)}^{2} = 4 (x - 5)$ , $(6, 1)$
86290	Find the Tangent Line at (2,-1)	f(x)=(1-x)(x^2-3)^2 ; (2,-1)	$f (x) = (1 - x) {(x^{2} - 3)}^{2}$ ; $(2, - 1)$
86291	Find the Tangent Line at (1,5)	y=6x-x^2 , (1,5)	$y = 6 x - x^{2}$ , $(1, 5)$
86292	Find the Tangent Line at (2,4)	x^2+xy-y^2=-4 , (2,4)	$x^{2} + x y - y^{2} = - 4$ , $(2, 4)$
86293	Find the Tangent Line at (4,58)	y=x^3-2x+2 , (4,58)	$y = x^{3} - 2 x + 2$ , $(4, 58)$
86294	Find the Tangent Line at (1,12)	y=12 square root of x , (1,12)	$y = 12 \sqrt{x}$ , $(1, 12)$
86295	Find the Tangent Line at (2,-4)	f(x)=(1-x)(x^2-2)^2 ; (2,-4)	$f (x) = (1 - x) {(x^{2} - 2)}^{2}$ ; $(2, - 4)$
86296	Find the Tangent Line at (-1,-1)	f(x)=-x^2 ;, (-1,-1)	$f (x) = - x^{2}$ ;, $(- 1, - 1)$
86297	Find the Tangent Line at (3,1)	y=2/3x^2-3x+4 at (3,1)	$y = \frac{2}{3} x^{2} - 3 x + 4$ at $(3, 1)$
86298	Find the Tangent Line at x=4	f(x)=( square root of x+1)/( square root of x+4) ; x=4	$f (x) = \frac{\sqrt{x} + 1}{\sqrt{x} + 4}$ ; $x = 4$
86299	Find the Tangent Line at (-1,0)	f(x)=x^3+1 , (-1,0)	$f (x) = x^{3} + 1$ , $(- 1, 0)$
86300	Find the Tangent Line at (8,4)	f(x) = square root of x+8 , (8,4)	$f (x) = \sqrt{x + 8}$ , $(8, 4)$