Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
45201	Find the Roots (Zeros)	x^3-9x^2+26x-24	$x^{3} - 9 x^{2} + 26 x - 24$
45202	Find the Roots (Zeros)	x^3-6x^2+11x-6	$x^{3} - 6 x^{2} + 11 x - 6$
45203	Find the Roots (Zeros)	x^2+49	$x^{2} + 49$
45204	Find the Roots (Zeros)	12x^2-144x+299	$12 x^{2} - 144 x + 299$
45205	Find the Roots (Zeros)	x^3-13x+12	$x^{3} - 13 x + 12$
45206	Find the Roots (Zeros)	x^2-6x+13	$x^{2} - 6 x + 13$
45207	Find the Roots (Zeros)	2x^5-45x^4+264x^3-146x^2+550x-3025	$2 x^{5} - 45 x^{4} + 264 x^{3} - 146 x^{2} + 550 x - 3025$
45208	Find the Roots (Zeros)	3x^2-16x+21	$3 x^{2} - 16 x + 21$
45209	Find the Roots (Zeros)	6x^2+90x+324	$6 x^{2} + 90 x + 324$
45210	Find the Antiderivative	2cos(pix)	$2 \cos (π x)$
45211	Find the Antiderivative	1/(2y)	$\frac{1}{2 y}$
45212	Find the Antiderivative	4x^7	$4 x^{7}$
45213	Find the Antiderivative	8/(1+x^2)	$\frac{8}{1 + x^{2}}$
45214	Find the Antiderivative	(sin(2x))/(cos(x))	$\frac{\sin (2 x)}{\cos (x)}$
45215	Find the Antiderivative	(12x^2)e^(x^3)	$(12 x^{2}) e^{x^{3}}$
45216	Find the Antiderivative	sin(9x)	$\sin (9 x)$
45217	Find the Antiderivative	3x(6-x^2)	$3 x (6 - x^{2})$
45218	Find the Antiderivative	2xe^(-x^2)	$2 x e^{- x^{2}}$
45219	Find the Maximum/Minimum Value	-15x^2+15	$- 15 x^{2} + 15$
45220	Find the Maximum/Minimum Value	-3x^2+6x+24	$- 3 x^{2} + 6 x + 24$
45221	Find the Maximum/Minimum Value	x^2+2x+10	$x^{2} + 2 x + 10$
45222	Find the Maximum/Minimum Value	x+2sin(x)	$x + 2 \sin (x)$
45223	Find the Asymptotes	f(x)=tan(pix)	$f (x) = \tan (π x)$
45224	Find the Asymptotes	f(x)=64x^2+128/x+3	$f (x) = 64 x^{2} + \frac{128}{x} + 3$
45225	Find the Asymptotes	f(x)=(x^2-9x+20)/(x^2-8x+16)	$f (x) = \frac{x^{2} - 9 x + 20}{x^{2} - 8 x + 16}$
45226	Find the Asymptotes	f(x)=(x+2)/(x^3-11x^2+18x)	$f (x) = \frac{x + 2}{x^{3} - 11 x^{2} + 18 x}$
45227	Find the Asymptotes	f(x)=(x+3)/(x^2+9x+18)	$f (x) = \frac{x + 3}{x^{2} + 9 x + 18}$
45228	Find the Asymptotes	f(x)=(x+5)/(x^2+11x+30)	$f (x) = \frac{x + 5}{x^{2} + 11 x + 30}$
45229	Find the Asymptotes	f(x)=(8x-8)/(x+2)	$f (x) = \frac{8 x - 8}{x + 2}$
45230	Find the Asymptotes	f(x)=1/(x^2-2x)	$f (x) = \frac{1}{x^{2} - 2 x}$
45231	Find the Asymptotes	f(x)=(2x^2)/(x^2-2x-15)	$f (x) = \frac{2 x^{2}}{x^{2} - 2 x - 15}$
45232	Find the Derivative Using Chain Rule - d/dx	y=(-2x+11)^6	$y = {(- 2 x + 11)}^{6}$
45233	Find the Derivative Using Chain Rule - d/dx	y=sin(3cos(x))	$y = \sin (3 \cos (x))$
45234	Find Where Increasing/Decreasing Using Derivatives	2x^3-21x^2-48x	$2 x^{3} - 21 x^{2} - 48 x$
45235	Find Where Increasing/Decreasing Using Derivatives	(6x)/(x^2+49)	$\frac{6 x}{x^{2} + 49}$
45236	Find Where Increasing/Decreasing Using Derivatives	2x^3-3x^2-432x	$2 x^{3} - 3 x^{2} - 432 x$
45237	Find Where Increasing/Decreasing Using Derivatives	(x^2)/(x^2-49)	$\frac{x^{2}}{x^{2} - 49}$
45238	Find Where Increasing/Decreasing Using Derivatives	(x^2+100)/x	$\frac{x^{2} + 100}{x}$
45239	Find Where Increasing/Decreasing Using Derivatives	(x^2)/(x^2-81)	$\frac{x^{2}}{x^{2} - 81}$
45240	Find Where Increasing/Decreasing Using Derivatives	x^3-108x+2	$x^{3} - 108 x + 2$
45241	Find Where Increasing/Decreasing Using Derivatives	x^5 natural log of x	$x^{5} \ln (x)$
45242	Find Where Increasing/Decreasing Using Derivatives	9x^3-18x^2+9x-2	$9 x^{3} - 18 x^{2} + 9 x - 2$
45243	Find Where Increasing/Decreasing Using Derivatives	1/4x^4-1/3x^3-x^2	$\frac{1}{4} x^{4} - \frac{1}{3} x^{3} - x^{2}$
45244	Find the Derivative Using Chain Rule - d/dx	tan(y)=x	$\tan (y) = x$
45245	Find the Derivative Using Chain Rule - d/dx	y=sin(5cos(x))	$y = \sin (5 \cos (x))$
45246	Find the Derivative Using Chain Rule - d/dx	y=sin(6cos(x))	$y = \sin (6 \cos (x))$
45247	Find the Derivative Using Chain Rule - d/dx	y=sin(x)^13	$y = \sin^{13} (x)$
45248	Find the Derivative Using Chain Rule - d/dx	y=sin(cot(x))	$y = \sin (\cot (x))$
45249	Find the Derivative Using Chain Rule - d/dx	y=tan(xe^x)	$y = \tan (x e^{x})$
45250	Find the Derivative Using Chain Rule - d/dt	q=cos(t/( square root of t+6))	$q = \cos (\frac{t}{\sqrt{t + 6}})$
45251	Find the Sum of the Infinite Geometric Series	80 , 8 , 4/5	$80$ , $8$ , $\frac{4}{5}$
45252	Find the Sum of the Infinite Geometric Series	1 , 1/3 , 1/9	$1$ , $\frac{1}{3}$ , $\frac{1}{9}$
45253	Find the Area Between the Curves	y=x^2 , y=x^3	$y = x^{2}$ , $y = x^{3}$
45254	Find the Area Between the Curves	4x+y^2=12 , x=y	$4 x + y^{2} = 12$ , $x = y$
45255	Find the Area Between the Curves	x=5y^2-5 x=5-5y^2	$x = 5 y^{2} - 5$ $x = 5 - 5 y^{2}$
45256	Find the Area Between the Curves	y=x^2 , y=6x-x^2	$y = x^{2}$ , $y = 6 x - x^{2}$
45257	Find the Domain and Range	y=cos(arccos(x))	$y = \cos (\arccos (x))$
45258	Find the Asymptotes	y=-1/(x+3)	$y = \frac{- 1}{x + 3}$
45259	Find the Asymptotes	y=(x^2-9)/(x^2-4)	$y = \frac{x^{2} - 9}{x^{2} - 4}$
45260	Evaluate the Derivative at b=40	b=40 , c=9	$b = 40$ , $c = 9$
45261	Find the Asymptotes	y=(2e^x)/(e^x-4)	$y = \frac{2 e^{x}}{e^{x} - 4}$
45262	Find the Asymptotes	y=(5+4x)/(x+3)	$y = \frac{5 + 4 x}{x + 3}$
45263	Find the Asymptotes	y=(2x^2+1)/(3x-2x^2)	$y = \frac{2 x^{2} + 1}{3 x - 2 x^{2}}$
45264	Find the Asymptotes	y=(x^2+1)/(8x-5x^2)	$y = \frac{x^{2} + 1}{8 x - 5 x^{2}}$
45265	Find the Tangent Line at (0,8)	y=x^4+8e^x , (0,8)	$y = x^{4} + 8 e^{x}$ , $(0, 8)$
45266	Find the Tangent Line at (4,-3)	x^2+y^2=25 , (4,-3)	$x^{2} + y^{2} = 25$ , $(4, - 3)$
45267	Find the Linearization at a=64	f(x)=x^(2/3) , a=64	$f (x) = x^{\frac{2}{3}}$ , $a = 64$
45268	Find Where Increasing/Decreasing	f(x)=2x^2-12x+14	$f (x) = 2 x^{2} - 12 x + 14$
45269	Find the Derivative Using Quotient Rule - d/dx	y=(8x+3)/( square root of x)	$y = \frac{8 x + 3}{\sqrt{x}}$
45270	Find the Derivative Using Quotient Rule - d/dy	((y-2)^6)/((y^2+4y)^9)	$\frac{{(y - 2)}^{6}}{{(y^{2} + 4 y)}^{9}}$
45271	Eliminate the Parameter	x=sin(1/2theta) , y=cos(1/2theta) , -pi<=theta<=pi	$x = \sin (\frac{1}{2} θ)$ , $y = \cos (\frac{1}{2} θ)$ , $- π \leq θ \leq π$
45272	Find the Asymptotes	(x^2-3x-10)/(x^2-5x-14)	$\frac{x^{2} - 3 x - 10}{x^{2} - 5 x - 14}$
45273	Find the Asymptotes	( square root of 2x^2+1)/(3x-5)	$\frac{\sqrt{2 x^{2} + 1}}{3 x - 5}$
45274	Find the Asymptotes	(x+3)/(x^2+11x+24)	$\frac{x + 3}{x^{2} + 11 x + 24}$
45275	Find the Asymptotes	(2x-1)/(3x+4)	$\frac{2 x - 1}{3 x + 4}$
45276	Find the Asymptotes	(3x)/(x^2-4)	$\frac{3 x}{x^{2} - 4}$
45277	Find the Asymptotes	(t^2-6t)/(t^4-1296)	$\frac{t^{2} - 6 t}{t^{4} - 1296}$
45278	Find the Asymptotes	(x+4)/(x^2-3x-28)	$\frac{x + 4}{x^{2} - 3 x - 28}$
45279	Find the Asymptotes	(x+2)/(x^2+5x+6)	$\frac{x + 2}{x^{2} + 5 x + 6}$
45280	Find the Sum of the Series	1+1/3+1/9+1/27+1/81+1/243+1/729	$1 + \frac{1}{3} + \frac{1}{9} + \frac{1}{27} + \frac{1}{81} + \frac{1}{243} + \frac{1}{729}$
45281	Find the Difference Quotient	f(x)=1-2x^3	$f (x) = 1 - 2 x^{3}$
45282	Find the Difference Quotient	f(x)=3-6x	$f (x) = 3 - 6 x$
45283	Convert to Logarithmic Form	cube root of 64=4	$\sqrt[3]{64} = 4$
45284	Find the Sum of the Series	3 , 5 , 7 , 9 , 11 , 13	$3$ , $5$ , $7$ , $9$ , $11$ , $13$
45285	Find the Sum of the Series	6 , 8	$6$ , $8$
45286	Reduce the Fraction	pi/6	$\frac{π}{6}$
45287	Solve for x	2<3x-6<=10	$2 < 3 x - 6 \leq 10$
45288	Find the Domain	f(x)=(x-6)/(x+6)	$f (x) = \frac{x - 6}{x + 6}$
45289	Find the Domain	g(x) = square root of x^2-1	$g (x) = \sqrt{x^{2} - 1}$
45290	Find the Domain	f(x)=1/5	$f (x) = \frac{1}{5}$
45291	Find the Domain	1/( fourth root of x^2-4x)	$\frac{1}{\sqrt[4]{x^{2} - 4 x}}$
45292	Find the Domain	natural log of e^x-9	$\ln (e^{x} - 9)$
45293	Find the Domain	(49-e^(x^2))/(1-e^(49-x^2))	$\frac{49 - e^{x^{2}}}{1 - e^{49 - x^{2}}}$
45294	Find the Domain	-100x^(1/4)	$- 100 x^{\frac{1}{4}}$
45295	Find the Domain	(64-e^(x^2))/(1-e^(64-x^2))	$\frac{64 - e^{x^{2}}}{1 - e^{64 - x^{2}}}$
45296	Find the Concavity	f(x)=x^3-5x^2-8x+5	$f (x) = x^{3} - 5 x^{2} - 8 x + 5$
45297	Find the Derivative of the Integral	y=xsin(3/x)	$y = x \sin (\frac{3}{x})$
45298	Find the Derivative of the Integral	y=sin(tan(7x))	$y = \sin (\tan (7 x))$
45299	Find the Derivative of the Integral	y=(8+csc(x))/(7-csc(x))	$y = \frac{8 + \csc (x)}{7 - \csc (x)}$
45300	Find the Derivative of the Integral	y=tan( square root of 5t)	$y = \tan (\sqrt{5 t})$