Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
43401	Multiply	-x*(-x)	$- x \cdot (- x)$
43402	Find the Third Derivative	2x^2-x^3	$2 x^{2} - x^{3}$
43403	Find the Second Derivative	xe^(3x)	$x e^{3 x}$
43404	Solve for x	6x^2-6=0	$6 x^{2} - 6 = 0$
43405	Solve for t	5e^(-2t)=6	$5 e^{- 2 t} = 6$
43406	Find the Tangent Line at (p,0)	y=sin(sin(x)) , (pi,0)	$y = \sin (\sin (x))$ , $(π, 0)$
43407	Evaluate the Summation	sum from x=1 to 5 of 72(1/2)^(x-1)	$\sum_{x = 1}^{5} 72 {(\frac{1}{2})}^{x - 1}$
43408	Find the Local Maxima and Minima	x^6-3x^5	$x^{6} - 3 x^{5}$
43409	Find the Local Maxima and Minima	x+49/x	$x + \frac{49}{x}$
43410	Find the Critical Points	t^(3/4)-9t^(1/4)	$t^{\frac{3}{4}} - 9 t^{\frac{1}{4}}$
43411	Convert to a Decimal	(4pi)/3	$\frac{4 π}{3}$
43412	Graph	f(2)	$f (2)$
43413	Graph	r^2=4cos(2theta)	$r^{2} = 4 \cos (2 θ)$
43414	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of (e^(5x-3))/( natural log of x-2)	$lim_{x \to \infty} \frac{e^{5 x - 3}}{\ln (x - 2)}$
43415	Find the Critical Points	f(x)=(x^2)/(x^2-64)	$f (x) = \frac{x^{2}}{x^{2} - 64}$
43416	Find the Critical Points	f(x)=1/4x^4-1/3x^3-x^2	$f (x) = \frac{1}{4} x^{4} - \frac{1}{3} x^{3} - x^{2}$
43417	Divide	64/4	$\frac{64}{4}$
43418	Find the Absolute Max and Min over the Interval	f(x)=x^3-3x , [0,3]	$f (x) = x^{3} - 3 x$ , $[0, 3]$
43419	Find the Second Derivative	x^(1/11)	$x^{\frac{1}{11}}$
43420	Find the Third Derivative	9xsin(x)	$9 x \sin (x)$
43421	Find the Third Derivative	6xcos(x)	$6 x \cos (x)$
43422	Find the Fourth Derivative	6xcos(x)	$6 x \cos (x)$
43423	Factor	6x^2+84x+270	$6 x^{2} + 84 x + 270$
43424	Find the Second Derivative	y=3sec(x)	$y = 3 \sec (x)$
43425	Find the Second Derivative	y=9csc(x)	$y = 9 \csc (x)$
43426	Find the Third Derivative	y=9csc(x)	$y = 9 \csc (x)$
43427	Find the Tangent Line at the Point	y=4e^xcos(x) , (0,4)	$y = 4 e^{x} \cos (x)$ , $(0, 4)$
43428	Find dx/dy at (8,5)	x^3+y^3=16xy-3 , (8,5)	$x^{3} + y^{3} = 16 x y - 3$ , $(8, 5)$
43429	Find the Asymptotes	f(x)=11/(x^2+121)	$f (x) = \frac{11}{x^{2} + 121}$
43430	Find the Fourth Derivative	f(x)=4x^3-2x^5+300x	$f (x) = 4 x^{3} - 2 x^{5} + 300 x$
43431	Find the Second Derivative	f(x)=4x^3-2x^5+300x	$f (x) = 4 x^{3} - 2 x^{5} + 300 x$
43432	Find the Inflection Points	x^3-3x^2-72x	$x^{3} - 3 x^{2} - 72 x$
43433	Find the Inflection Points	3x^4-16x^3+18x^2	$3 x^{4} - 16 x^{3} + 18 x^{2}$
43434	Find the Tangent Line at (4p,0)	y=sin(sin(x)) , (4pi,0)	$y = \sin (\sin (x))$ , $(4 π, 0)$
43435	Find the Antiderivative	xsin(x^2)	$x \sin (x^{2})$
43436	Find the Antiderivative	1/(sin(x))	$\frac{1}{\sin (x)}$
43437	Evaluate the Summation	sum from i=1 to 9 of -4i-5	$\sum_{i = 1}^{9} - 4 i - 5$
43438	Find the Roots (Zeros)	x^5-3x=1	$x^{5} - 3 x = 1$
43439	Find the Concavity	(x^2+4)/(x^2-4)	$\frac{x^{2} + 4}{x^{2} - 4}$
43440	Graph	r=1-sin(theta)	$r = 1 - \sin (θ)$
43441	Graph	r=3cos(theta)	$r = 3 \cos (θ)$
43442	Graph	x=y-y^2	$x = y - y^{2}$
43443	Graph	y=arctan(x)	$y = \arctan (x)$
43444	Multiply	x^2*2x	$x^{2} \cdot 2 x$
43445	Multiply	8*12	$8 \cdot 12$
43446	Find the Concavity	f(x)=3x^3-36x-2	$f (x) = 3 x^{3} - 36 x - 2$
43447	Find the Concavity	f(x)=x square root of x+18	$f (x) = x \sqrt{x + 18}$
43448	Find the Normal Line at @POINT	y=8xe^x , (0,0)	$y = 8 x e^{x}$ , $(0, 0)$
43449	Find the Second Derivative	y=5sec(x)	$y = 5 \sec (x)$
43450	Find the Second Derivative	y=6csc(x)	$y = 6 \csc (x)$
43451	Find the Second Derivative	y=2csc(x)	$y = 2 \csc (x)$
43452	Find the Third Derivative	y=6csc(x)	$y = 6 \csc (x)$
43453	Find the Third Derivative	y=3xsin(x)	$y = 3 x \sin (x)$
43454	Find the Second Derivative	y=3xsin(x)	$y = 3 x \sin (x)$
43455	Find the Fourth Derivative	y=5sec(x)	$y = 5 \sec (x)$
43456	Find the Second Derivative	6e^xcos(x)	$6 e^{x} \cos (x)$
43457	Find the Second Derivative	2sin(-4x-3)	$2 \sin (- 4 x - 3)$
43458	Convert to Interval Notation	(x^2+6x)/(x-4)>0	$\frac{x^{2} + 6 x}{x - 4} > 0$
43459	Find Where Increasing/Decreasing Using Derivatives	f(x)=2x-2cos(x)	$f (x) = 2 x - 2 \cos (x)$
43460	Find Where Increasing/Decreasing Using Derivatives	f(x)=(9x^2+16)/(9x^2-16)	$f (x) = \frac{9 x^{2} + 16}{9 x^{2} - 16}$
43461	Find the Asymptotes	f(x)=(2x)/( square root of 4x^2+1)	$f (x) = \frac{2 x}{\sqrt{4 x^{2} + 1}}$
43462	Find dy/dx at (6,4)	x^3+y^3=12xy-8 , (6,4)	$x^{3} + y^{3} = 12 x y - 8$ , $(6, 4)$
43463	Find dx/dy at (4/3,8/3)	x^3+y^3-6xy=0 , (4/3,8/3)	$x^{3} + y^{3} - 6 x y = 0$ , $(\frac{4}{3}, \frac{8}{3})$
43464	Find the Second Derivative	f(x)=(x^2)/(5+4x)	$f (x) = \frac{x^{2}}{5 + 4 x}$
43465	Evaluate the Summation	sum from n=1 to 7 of 10n+90	$\sum_{n = 1}^{7} 10 n + 90$
43466	Find the Antiderivative	csc(theta)^2	$\csc^{2} (θ)$
43467	Find the Antiderivative	1/4x^2	$\frac{1}{4} x^{2}$
43468	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of x^7e^(-x^6)	$lim_{x \to \infty} x^{7} e^{- x^{6}}$
43469	Evaluate Using L'Hospital's Rule	limit as x approaches 3 of (9-x^2)/(cos(pi/2x))	$lim_{x \to 3} \frac{9 - x^{2}}{\cos (\frac{π}{2} x)}$
43470	Find Where Increasing/Decreasing Using Derivatives	5cos(x)^2	$5 \cos^{2} (x)$
43471	Find Where Increasing/Decreasing Using Derivatives	6x^3-12x^2+6x-7	$6 x^{3} - 12 x^{2} + 6 x - 7$
43472	Find the Derivative Using Chain Rule - d/dx	y=tan(3x^4)	$y = \tan (3 x^{4})$
43473	Find the Derivative Using Chain Rule - d/dY	Y=cos(x)^6	$Y = \cos^{6} (x)$
43474	Divide	81/3	$\frac{81}{3}$
43475	Divide	13/2	$\frac{13}{2}$
43476	Graph	r=1+2cos(theta)	$r = 1 + 2 \cos (θ)$
43477	Graph	x = square root of 5y^2	$x = \sqrt{5} y^{2}$
43478	Find the Maximum/Minimum Value	y=5+6x-8x^3	$y = 5 + 6 x - 8 x^{3}$
43479	Find the Inflection Points	y=x^3-12x+1	$y = x^{3} - 12 x + 1$
43480	Find the Second Derivative	w=9z^2e^z	$w = 9 z^{2} e^{z}$
43481	Find Where Increasing/Decreasing Using Derivatives	f(x)=7x+7cos(x)	$f (x) = 7 x + 7 \cos (x)$
43482	Find the Second Derivative	5csc(x)	$5 \csc (x)$
43483	Find the Third Derivative	5csc(x)	$5 \csc (x)$
43484	Find the Tangent Line at the Point	(x+2)^2+(y-3)^2=37 , (-1,-3)	${(x + 2)}^{2} + {(y - 3)}^{2} = 37$ , $(- 1, - 3)$
43485	Find the Tangent Line at the Point	(x^2+y^2)^2=4x^2y , (-1,1)	${(x^{2} + y^{2})}^{2} = 4 x^{2} y$ , $(- 1, 1)$
43486	Find the Tangent Line at the Point	y=6e^xcos(x) , (0,6)	$y = 6 e^{x} \cos (x)$ , $(0, 6)$
43487	Find the Tangent Line at the Point	(x^2+4)y=8 , (-2,1)	$(x^{2} + 4) y = 8$ , $(- 2, 1)$
43488	Find the Tangent Line at the Point	y = natural log of x^2-9x+1 , (9,0)	$y = \ln (x^{2} - 9 x + 1)$ , $(9, 0)$
43489	Find the Inflection Points	x^5+5x^4	$x^{5} + 5 x^{4}$
43490	Find the Fourth Derivative	f(x)=8e^x	$f (x) = 8 e^{x}$
43491	Find the Second Derivative	f(x)=8e^x	$f (x) = 8 e^{x}$
43492	Evaluate the Summation	sum from j=1 to 3 of 3j	$\sum_{j = 1}^{3} 3 j$
43493	Evaluate the Summation	sum from n=1 to 11 of 98-2n	$\sum_{n = 1}^{11} 98 - 2 n$
43494	Find the Concavity	(2x)/(9x^2-16)	$\frac{2 x}{9 x^{2} - 16}$
43495	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of (4x^2-7x)/(( natural log of x)^2)	$lim_{x \to \infty} \frac{4 x^{2} - 7 x}{\ln^{2} (x)}$
43496	Find the Domain	(e^x)/( square root of 1-e^(2x))	$\frac{e^{x}}{\sqrt{1 - e^{2 x}}}$
43497	Find the Inflection Points	f(x)=12x^4-72x^2	$f (x) = 12 x^{4} - 72 x^{2}$
43498	Find the Reference Angle	1406 degrees	$1406 °$
43499	Find the Concavity	f(x)=4x^2-4sin(2x)	$f (x) = 4 x^{2} - 4 \sin (2 x)$
43500	Find the Concavity	f(x)=12x^2-12sin(2x)	$f (x) = 12 x^{2} - 12 \sin (2 x)$