Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
86301	Find the Tangent Line at x=π	y=tan(x) ; x=pi	$y = \tan (x)$ ; $x = π$
86302	Find the Tangent Line at (16,32)	f(x) = square root of x(x-8) , (16,32)	$f (x) = \sqrt{x} (x - 8)$ , $(16, 32)$
86303	Find the Tangent Line at (-6,-1/3)	f(x)=2/x at (-6,-1/3)	$f (x) = \frac{2}{x}$ at $(- 6, - \frac{1}{3})$
86304	Find the Tangent Line at (1,1)	f(x)=1/(x^5) at (1,1)	$f (x) = \frac{1}{x^{5}}$ at $(1, 1)$
86305	Find the Tangent Line at (0,9)	y=9e^x+x , (0,9)	$y = 9 e^{x} + x$ , $(0, 9)$
86306	Find the Tangent Line at (1,3)	f(x)=(x^3+2)(3x^2-4x+2) ; (1,3)	$f (x) = (x^{3} + 2) (3 x^{2} - 4 x + 2)$ ; $(1, 3)$
86307	Find the Tangent Line at (-3,0)	y=x^3-9x at the point (-3,0)	$y = x^{3} - 9 x$ at the point $(- 3, 0)$
86308	Find the Tangent Line at (1,0)	y=5x^3-5x at the point (1,0)	$y = 5 x^{3} - 5 x$ at the point $(1, 0)$
86309	Find the Tangent Line at p=(π/3,1)	y=sec(x)-2cos(x) , p=(pi/3,1)	$y = \sec (x) - 2 \cos (x)$ , $p = (\frac{π}{3}, 1)$
86310	Find the Tangent Line at (1,2)	x^2+xy-y^2=-1 , (1,2)	$x^{2} + x y - y^{2} = - 1$ , $(1, 2)$
86311	Find the Tangent Line at (-2,9)	y=x^2+5 , (-2,9)	$y = x^{2} + 5$ , $(- 2, 9)$
86312	Find the Tangent Line at (16,17/4)	f(x) = square root of x+1/( square root of x) ; (16,17/4)	$f (x) = \sqrt{x} + \frac{1}{\sqrt{x}}$ ; $(16, \frac{17}{4})$
86313	Find the Tangent Line at (1,2)	y=2x^3 , (1,2)	$y = 2 x^{3}$ , $(1, 2)$
86314	Find the Tangent Line at (1,6)	y=6 square root of x , (1,6)	$y = 6 \sqrt{x}$ , $(1, 6)$
86315	Find the Tangent Line at (2,11/3)	f(x)=2/3x^2-2x+5 at (2,11/3)	$f (x) = \frac{2}{3} x^{2} - 2 x + 5$ at $(2, \frac{11}{3})$
86316	Find the Tangent Line at (-1,-1)	f(x)=x^5 , (-1,-1)	$f (x) = x^{5}$ , $(- 1, - 1)$
86317	Find the Tangent Line at (0,1/7)	y=(1+x)/(6+e^x) , (0,1/7)	$y = \frac{1 + x}{6 + e^{x}}$ , $(0, \frac{1}{7})$
86318	Find the Tangent Line at (1,10)	y=10 square root of x , (1,10)	$y = 10 \sqrt{x}$ , $(1, 10)$
86319	Find the Tangent Line at (-2,-4)	f(x)=-x^2 ;, (-2,-4)	$f (x) = - x^{2}$ ;, $(- 2, - 4)$
86320	Find the Tangent Line at (3,-2)	f(x)=(1-x)(x^2-8)^2 ; (3,-2)	$f (x) = (1 - x) {(x^{2} - 8)}^{2}$ ; $(3, - 2)$
86321	Find the Tangent Line at (6,1/3)	f(x)=2/x at (6,1/3)	$f (x) = \frac{2}{x}$ at $(6, \frac{1}{3})$
86322	Find the Tangent Line at (1,4)	y=5x-x^2 , (1,4)	$y = 5 x - x^{2}$ , $(1, 4)$
86323	Find the Tangent Line at (1,8)	y=8 square root of x , (1,8)	$y = 8 \sqrt{x}$ , $(1, 8)$
86324	Find the Tangent Line at (1,0)	f(x)=-3x^4+7x^2-4 , (1,0)	$f (x) = - 3 x^{4} + 7 x^{2} - 4$ , $(1, 0)$
86325	Find the Tangent Line at (-2,16)	y=-2x^3 , (-2,16)	$y = - 2 x^{3}$ , $(- 2, 16)$
86326	Find the Tangent Line at (0,8)	y=8e^xcos(x) , (0,8)	$y = 8 e^{x} \cos (x)$ , $(0, 8)$
86327	Find the Tangent Line at (2,5/3)	f(x)=2/3x^2-x+1 at (2,5/3)	$f (x) = \frac{2}{3} x^{2} - x + 1$ at $(2, \frac{5}{3})$
86328	Find the Tangent Line at (81,9)	y = square root of x , (81,9)	$y = \sqrt{x}$ , $(81, 9)$
86329	Find the Tangent Line at (0,5)	y=x^4+5e^x , (0,5)	$y = x^{4} + 5 e^{x}$ , $(0, 5)$
86330	Find the Tangent Line at (-1,-1)	f(x)=x^2+x-1 at (-1,-1)	$f (x) = x^{2} + x - 1$ at $(- 1, - 1)$
86331	Find the Tangent Line at (1,0)	y=x^3-x at the point (1,0)	$y = x^{3} - x$ at the point $(1, 0)$
86332	Find the Tangent Line at (0,1)	y=(1+3x)^10 , (0,1)	$y = {(1 + 3 x)}^{10}$ , $(0, 1)$
86333	Find the Tangent Line at x=π/2	y=4sin(x)cos(x) ; x=pi/2	$y = 4 \sin (x) \cos (x)$ ; $x = \frac{π}{2}$
86334	Find the Tangent Line at (π,π)	y=x+sin(x) , (pi,pi)	$y = x + \sin (x)$ , $(π, π)$
86335	Find the Tangent Line at (0,4)	y=x^4+4e^x , (0,4)	$y = x^{4} + 4 e^{x}$ , $(0, 4)$
86336	Find the Tangent Line at (1,1)	f(x) = square root of x , (1,1)	$f (x) = \sqrt{x}$ , $(1, 1)$
86337	Find the Tangent Line at (2,2)	y=(5x)/(x+3) , (2,2)	$y = \frac{5 x}{x + 3}$ , $(2, 2)$
86338	Find the Tangent Line at (0,9)	y=x^4+9e^x , (0,9)	$y = x^{4} + 9 e^{x}$ , $(0, 9)$
86339	Find the Tangent Line at (-1,5)	y=x^2+4 ; (-1,5)	$y = x^{2} + 4$ ; $(- 1, 5)$
86340	Find the Tangent Line at (4,-5)	y=(x+1)/(x-5) , (4,-5)	$y = \frac{x + 1}{x - 5}$ , $(4, - 5)$
86341	Find the Tangent Line at (2,8)	y=(x^2-x)^3 at (2,8)	$y = {(x^{2} - x)}^{3}$ at $(2, 8)$
86342	Find the Tangent Line at (0,3)	y=3e^xcos(x) , (0,3)	$y = 3 e^{x} \cos (x)$ , $(0, 3)$
86343	Find the Tangent Line at (-2,0)	y=x^3-4x , (-2,0)	$y = x^{3} - 4 x$ , $(- 2, 0)$
86344	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 $(- 1, 0)$
86345	Find the Tangent Line at (1,1)	(x^2+y^2)^2=4x^2y , (1,1)	${(x^{2} + y^{2})}^{2} = 4 x^{2} y$ , $(1, 1)$
86346	Find the Tangent Line at (2,1)	x^2y^2=3y+1 at (2,1)	$x^{2} y^{2} = 3 y + 1$ at $(2, 1)$
86347	Find the Tangent Line at (4,-57/4)	f(x)=-4x^(1/2)-5x^-1-5 at the point (4,-57/4)	$f (x) = - 4 x^{\frac{1}{2}} - 5 x^{- 1} - 5$ at the point $(4, - \frac{57}{4})$
86348	Find the Tangent Line at (1,5)	y=6x-x^2 , (1,5)	$y = 6 x - x^{2}$ , $(1, 5)$
86349	Find the Tangent Line at (2,0)	y = natural log of x^2-2x+1 , (2,0)	$y = \ln (x^{2} - 2 x + 1)$ , $(2, 0)$
86350	Find the Tangent Line at (3,6)	x^2+xy-y^2=-9 , (3,6)	$x^{2} + x y - y^{2} = - 9$ , $(3, 6)$
86351	Find the Tangent Line at x=3	y=x^2-2x at x=3	$y = x^{2} - 2 x$ at $x = 3$
86352	Find the Tangent Line at (1,1)	y=x^2 , (1,1)	$y = x^{2}$ , $(1, 1)$
86353	Find the Tangent Line at (-1,6)	y=2x^2-3x+1 at (-1,6)	$y = 2 x^{2} - 3 x + 1$ at $(- 1, 6)$
86354	Find the Tangent Line at (0,2)	y=2e^xcos(x) , (0,2)	$y = 2 e^{x} \cos (x)$ , $(0, 2)$
86355	Find the Tangent Line at (-2,-1)	f(x)=x^3+x+9 ;, (-2,-1)	$f (x) = x^{3} + x + 9$ ;, $(- 2, - 1)$
86356	Find the Tangent Line at (1,-2)	4x^2+2y^2=12 , (1,-2)	$4 x^{2} + 2 y^{2} = 12$ , $(1, - 2)$
86357	Find the Tangent Line at x=2	y=1/((x^3-x)^2) at x=2	$y = \frac{1}{{(x^{3} - x)}^{2}}$ at $x = 2$
86358	Find the Tangent Line at (1,-2)	8x^2+2y^2=16 , (1,-2)	$8 x^{2} + 2 y^{2} = 16$ , $(1, - 2)$
86359	Find the Tangent Line at (6,5)	(y-3)^2=4(x-5) , (6,5)	${(y - 3)}^{2} = 4 (x - 5)$ , $(6, 5)$
86360	Find the Tangent Line at (0,1)	y=(1+2x)^10 , (0,1)	$y = {(1 + 2 x)}^{10}$ , $(0, 1)$
86361	Find the Tangent Line at (π/6,2)	y=4sin(x) at the point (pi/6,2)	$y = 4 \sin (x)$ at the point $(\frac{π}{6}, 2)$
86362	Find the Tangent Line at (0,4)	y=(e^(2x)-3)^2 , (0,4)	$y = {(e^{2 x} - 3)}^{2}$ , $(0, 4)$
86363	Find the Tangent Line at (0,-2)	f(x)=-x^2+2x-2 at (0,-2)	$f (x) = - x^{2} + 2 x - 2$ at $(0, - 2)$
86364	Find the Tangent Line at x=-2	f(x)=x^3 ; x=-2	$f (x) = x^{3}$ ; $x = - 2$
86365	Find the Tangent Line at (-1,e⁷)	g(x)=e^(x^7-8x) , (-1,e^7)	$g (x) = e^{x^{7} - 8 x}$ , $(- 1, e^{7})$
86366	Find the Tangent Line at (1,2)	y=3x^2-x^3 , (1,2)	$y = 3 x^{2} - x^{3}$ , $(1, 2)$
86367	Find the Tangent Line at (0,4)	y=4e^x+x , (0,4)	$y = 4 e^{x} + x$ , $(0, 4)$
86368	Find the Tangent Line at (1,5)	y=6x^2-x^3 , (1,5)	$y = 6 x^{2} - x^{3}$ , $(1, 5)$
86369	Find the Tangent Line at (1,1)	f(x)=1/(x^2) at (1,1)	$f (x) = \frac{1}{x^{2}}$ at $(1, 1)$
86370	Find the Tangent Line at (2,3)	y=x^3-3x+1 , (2,3)	$y = x^{3} - 3 x + 1$ , $(2, 3)$
86371	Find the Tangent Line at x=5	xy=15 , x=5	$x y = 15$ , $x = 5$
86372	Find the Tangent Line at x=π/2	y=cot(x) ; x=pi/2	$y = \cot (x)$ ; $x = \frac{π}{2}$
86373	Find the Tangent Line at (-1,0)	y=x^3-x at the point (-1,0)	$y = x^{3} - x$ at the point $(- 1, 0)$
86374	Find the Tangent Line at (1,0)	f(x)=-4x^4+7x^2-3 , (1,0)	$f (x) = - 4 x^{4} + 7 x^{2} - 3$ , $(1, 0)$
86375	Find the Tangent Line at (0,7)	y=7e^xcos(x) , (0,7)	$y = 7 e^{x} \cos (x)$ , $(0, 7)$
86376	Find the Tangent Line at x=2	f(x)=x^7 , x=2	$f (x) = x^{7}$ , $x = 2$
86377	Find the Tangent Line at (0,5)	y=5e^xcos(x) , (0,5)	$y = 5 e^{x} \cos (x)$ , $(0, 5)$
86378	Find the Tangent Line at (-3,-9)	f(x)=-x^2 ;, (-3,-9)	$f (x) = - x^{2}$ ;, $(- 3, - 9)$
86379	Find the Tangent Line at x=-π	y=tan(x) ; x=-pi	$y = \tan (x)$ ; $x = - π$
86380	Find the Tangent Line at x=5	f(x)=( natural log of x)^5 at x=5	$f (x) = \ln^{5} (x)$ at $x = 5$
86381	Find the Tangent Line at (3,5)	y=x^3-9x+5 , (3,5)	$y = x^{3} - 9 x + 5$ , $(3, 5)$
86382	Find the Tangent Line at (2,5)	y=9-x^2 ; (2,5)	$y = 9 - x^{2}$ ; $(2, 5)$
86383	Find the Tangent Line at (3,0)	y = natural log of x^2-3x+1 , (3,0)	$y = \ln (x^{2} - 3 x + 1)$ , $(3, 0)$
86384	Find the Tangent Line at (π/6,1)	y=2sin(x) at the point (pi/6,1)	$y = 2 \sin (x)$ at the point $(\frac{π}{6}, 1)$
86385	Find the Tangent Line at (3,1)	2(x^2+y^2)^2=25(x^2-y^2) , (3,1)	$2 {(x^{2} + y^{2})}^{2} = 25 (x^{2} - y^{2})$ , $(3, 1)$
86386	Find the Tangent Line at (π/6,2)	y=4sin(x) , (pi/6,2)	$y = 4 \sin (x)$ , $(\frac{π}{6}, 2)$
86387	Find the Tangent Line at (5,3)	x^2-xy-y^2=1 , (5,3)	$x^{2} - x y - y^{2} = 1$ , $(5, 3)$
86388	Find the Tangent Line at (3,1)	x^2+y^2=10 , (3,1)	$x^{2} + y^{2} = 10$ , $(3, 1)$
86389	Find the Tangent Line at (1,6)	y=7x-x^2 , (1,6)	$y = 7 x - x^{2}$ , $(1, 6)$
86390	Find the Tangent Line at (0,0)	ye^(sin(x))=xcos(y) , (0,0)	$y e^{\sin (x)} = x \cos (y)$ , $(0, 0)$
86391	Find the Tangent Line at (2,25)	y=3x^3-x^2+5 , (2,25)	$y = 3 x^{3} - x^{2} + 5$ , $(2, 25)$
86392	Find the Tangent Line at (1,0)	f(x)=e^(-x) natural log of x , (1,0)	$f (x) = e^{- x} \ln (x)$ , $(1, 0)$
86393	Find the Tangent Line at x=-1	f(x)=x^4-17x^2+16 ; x=-1	$f (x) = x^{4} - 17 x^{2} + 16$ ; $x = - 1$
86394	Find the Tangent Line at (0,6)	y=x^4+6e^x , (0,6)	$y = x^{4} + 6 e^{x}$ , $(0, 6)$
86395	Find the Tangent Line at x=-1	f(x)=x^4-5x^2+4 ; x=-1	$f (x) = x^{4} - 5 x^{2} + 4$ ; $x = - 1$
86396	Find the Tangent Line at x=2	y=x^3-4x^2+5 at x=2	$y = x^{3} - 4 x^{2} + 5$ at $x = 2$
86397	Find the Tangent Line at (2,28)	y=3x^3-x^2+8 , (2,28)	$y = 3 x^{3} - x^{2} + 8$ , $(2, 28)$
86398	Find the Tangent Line at (1,1)	f(x)=1/(x^4) at (1,1)	$f (x) = \frac{1}{x^{4}}$ at $(1, 1)$
86399	Find the Tangent Line at (1,3)	y=(6x)/(x^2+1) , (1,3)	$y = \frac{6 x}{x^{2} + 1}$ , $(1, 3)$
86400	Find the Tangent Line at (π/2,8π)	y=16xsin(x) , (pi/2,8pi)	$y = 16 x \sin (x)$ , $(\frac{π}{2}, 8 π)$