Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
60201	Find the Antiderivative	f(x)=8x+9	$f (x) = 8 x + 9$
60202	Find the Antiderivative	f(x)=18e^x	$f (x) = 18 e^{x}$
60203	Find the Antiderivative	f(x)=16x	$f (x) = 16 x$
60204	Find the Antiderivative	f(x)=21x^2+16x-3	$f (x) = 21 x^{2} + 16 x - 3$
60205	Find the Antiderivative	f(x)=28x^27	$f (x) = 28 x^{27}$
60206	Find the Antiderivative	f(x)=2x+1	$f (x) = 2 x + 1$
60207	Find the Antiderivative	f(x)=3x^(1/4)-9x^(3/4)	$f (x) = 3 x^{\frac{1}{4}} - 9 x^{\frac{3}{4}}$
60208	Find the Antiderivative	f(x)=4/x	$f (x) = \frac{4}{x}$
60209	Find the Antiderivative	f(x)=(2x^4+7x^3-x)/(x^3)	$f (x) = \frac{2 x^{4} + 7 x^{3} - x}{x^{3}}$
60210	Find the Antiderivative	f(t)=9t	$f (t) = 9 t$
60211	Convert to a Simplified Fraction	13.5	$13.5$
60212	Find the Domain and Range	4x^2+9y^2=36	$4 x^{2} + 9 y^{2} = 36$
60213	Find the Area Between the Curves	y=x^2-9 , y=7	$y = x^{2} - 9$ , $y = 7$
60214	Find the Area Between the Curves	y=x^(8/7) , y=6x^(1/7)	$y = x^{\frac{8}{7}}$ , $y = 6 x^{\frac{1}{7}}$
60215	Find the Area Between the Curves	6x+y^2=16 , x=y	$6 x + y^{2} = 16$ , $x = y$
60216	Find the Area Between the Curves	x=-2 , x=3 , y=6x , y=x^2-7	$x = - 2$ , $x = 3$ , $y = 6 x$ , $y = x^{2} - 7$
60217	Find the Area Between the Curves	x=-2 , x=3 , y=11x , y=x^2-12	$x = - 2$ , $x = 3$ , $y = 11 x$ , $y = x^{2} - 12$
60218	Find the Area Between the Curves	y = square root of 2x , y=x-4	$y = \sqrt{2 x}$ , $y = x - 4$
60219	Find the Area Between the Curves	y = square root of x , y = square root of 8-x , y=0	$y = \sqrt{x}$ , $y = \sqrt{8 - x}$ , $y = 0$
60220	Divide	3÷9	$3 \div 9$
60221	Divide	-9/4	$- \frac{9}{4}$
60222	Divide	64/12	$\frac{64}{12}$
60223	Divide	68/4	$\frac{68}{4}$
60224	Divide	18/8	$\frac{18}{8}$
60225	Divide	( cube root of 27x^7y^4)/( cube root of xy)	$\frac{\sqrt[3]{27 x^{7} y^{4}}}{\sqrt[3]{x y}}$
60226	Find the Derivative - d/dn	n!	$n!$
60227	Find the Derivative - d/df	f'(2)	$f' (2)$
60228	Find the Derivative - d/dt	6/t	$\frac{6}{t}$
60229	Find the Derivative - d/dt	d/(dt)(x^5+8)	$\frac{d}{d t} (x^{5} + 8)$
60230	Find the Derivative - d/dt	5e^t	$5 e^{t}$
60231	Find the Derivative - d/dt	3t^3	$3 t^{3}$
60232	Find the Derivative - d/dt	sin(t^3)	$\sin (t^{3})$
60233	Find the Derivative - d/dt	t^2e^t	$t^{2} e^{t}$
60234	Find the Derivative - d/dt	t-sin(t)	$t - \sin (t)$
60235	Find the Inflection Points	f(x)=x^3-8x^2+16x	$f (x) = x^{3} - 8 x^{2} + 16 x$
60236	Find the Inflection Points	f(x)=x^5-5x^4-x^3+28x^2-2x	$f (x) = x^{5} - 5 x^{4} - x^{3} + 28 x^{2} - 2 x$
60237	Find the Inflection Points	f(x)=x^4-54x^2-8x+10	$f (x) = x^{4} - 54 x^{2} - 8 x + 10$
60238	Find the Inflection Points	f(x)=2x^6-3x^5	$f (x) = 2 x^{6} - 3 x^{5}$
60239	Find the Inflection Points	f(x) = square root of x+7	$f (x) = \sqrt{x + 7}$
60240	Find the Difference Quotient	f(x)=6x^3	$f (x) = 6 x^{3}$
60241	Find the Local Maxima and Minima	f(x,y)=6xy-x^3-3y^2	$f (x, y) = 6 x y - x^{3} - 3 y^{2}$
60242	Find the Local Maxima and Minima	f(x,y)=x^2+xy+y^2-4y+5	$f (x, y) = x^{2} + x y + y^{2} - 4 y + 5$
60243	Find the Local Maxima and Minima	f(x,y)=x^2+xy+y^2-7y+16	$f (x, y) = x^{2} + x y + y^{2} - 7 y + 16$
60244	Find the Local Maxima and Minima	f(x,y)=x^3-6xy+y^3	$f (x, y) = x^{3} - 6 x y + y^{3}$
60245	Find the Local Maxima and Minima	y=2x^3-24x-3	$y = 2 x^{3} - 24 x - 3$
60246	Find the Local Maxima and Minima	y=x^2-8x+7	$y = x^{2} - 8 x + 7$
60247	Find the Local Maxima and Minima	y=x^2-6x+5	$y = x^{2} - 6 x + 5$
60248	Find Where Increasing/Decreasing Using Derivatives	y=(x^2+5x)/(25-x^2)	$y = \frac{x^{2} + 5 x}{25 - x^{2}}$
60249	Find the Domain and Range	f(x)=-2^x	$f (x) = - 2^{x}$
60250	Find the Inverse	x^7-2	$x^{7} - 2$
60251	Find the Inverse	e^x	$e^{x}$
60252	Find the Foci	(x^2)/4+(y^2)/36=1	$\frac{x^{2}}{4} + \frac{y^{2}}{36} = 1$
60253	Evaluate the Derivative at x=7	f(x)=8x^2+11x , x=7	$f (x) = 8 x^{2} + 11 x$ , $x = 7$
60254	Find the Focus	x=-1/20y^2	$x = - \frac{1}{20} y^{2}$
60255	Find the Asymptotes	h(t)=(t^2-4t)/(t^4-256)	$h (t) = \frac{t^{2} - 4 t}{t^{4} - 256}$
60256	Find the Area Under the Curve	y=-x^2-3x , -8<=x<=1	$y = - x^{2} - 3 x$ , $- 8 \leq x \leq 1$
60257	Find the Maximum/Minimum Value	x^4-4x^3	$x^{4} - 4 x^{3}$
60258	Solve for t	1000=500e^(0.075t)	$1000 = 500 e^{0.075 t}$
60259	Solve for q	q^2+10q=900-20q-q^2	$q^{2} + 10 q = 900 - 20 q - q^{2}$
60260	Solve for p	5/(3p)+(2p)/(p-5)=-4/3	$\frac{5}{3 p} + \frac{2 p}{p - 5} = - \frac{4}{3}$
60261	Solve for c	1=1/4 natural log of 4e^2+c	$1 = \frac{1}{4} \ln (4 e^{2}) + c$
60262	Solve for c	12 square root of 25+c=65	$12 \sqrt{25} + c = 65$
60263	Solve for c	9.6=3(7+3)^(2/3)+c	$9.6 = 3 {(7 + 3)}^{\frac{2}{3}} + c$
60264	Solve for n	limit as n approaches infinity of (1+1/n)^n	$lim_{n \to \infty} {(1 + \frac{1}{n})}^{n}$
60265	Solve for n	sum from n=1 to infinity of (-2/3)^(n-1)	$\sum_{n = 1}^{\infty} {(- \frac{2}{3})}^{n - 1}$
60266	Solve for k	k^2=15	$k^{2} = 15$
60267	Solve for k	e^(2k)=36	$e^{2 k} = 36$
60268	Solve for y	-12=24+6y	$- 12 = 24 + 6 y$
60269	Solve for y	x=2 square root of 3y	$x = 2 \sqrt{3 y}$
60270	Solve for t	e^(3t)=2400	$e^{3 t} = 2400$
60271	Find the Asymptotes	25y^2-4x^2=100	$25 y^{2} - 4 x^{2} = 100$
60272	Find the Inverse	f(x)=x^3+4x+2	$f (x) = x^{3} + 4 x + 2$
60273	Find Where Increasing/Decreasing Using Derivatives	f(x)=(x^2-3)e^(-x)	$f (x) = (x^{2} - 3) e^{- x}$
60274	Find Where Increasing/Decreasing Using Derivatives	f(x)=(x+6)^2(x-3)	$f (x) = {(x + 6)}^{2} (x - 3)$
60275	Find Where Increasing/Decreasing Using Derivatives	f(x)=(x+5)/(x+2)	$f (x) = \frac{x + 5}{x + 2}$
60276	Find Where Increasing/Decreasing Using Derivatives	f(x)=-12x^5+60x^4-60x^3	$f (x) = - 12 x^{5} + 60 x^{4} - 60 x^{3}$
60277	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (1+2e^(2x)-x^2)/(3cos(pi+2x))	$lim_{x \to 0} \frac{1 + 2 e^{2 x} - x^{2}}{3 \cos (π + 2 x)}$
60278	Evaluate Using L'Hospital's Rule	limit as t approaches 0 of (e^(6t)-1)/(sin(t))	$lim_{t \to 0} \frac{e^{6 t} - 1}{\sin (t)}$
60279	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of 1/(sin(x)^2)-1/(x^2)	$lim_{x \to 0} \frac{1}{\sin^{2} (x)} - \frac{1}{x^{2}}$
60280	Find the Vertices	(x^2)/49+(y^2)/25=1	$\frac{x^{2}}{49} + \frac{y^{2}}{25} = 1$
60281	Find the Roots (Zeros)	f(x)=14x-72	$f (x) = 14 x - 72$
60282	Find the Roots (Zeros)	x^2+4x+8	$x^{2} + 4 x + 8$
60283	Find the Roots (Zeros)	x^2-3x-4	$x^{2} - 3 x - 4$
60284	Find the Roots (Zeros)	x^2-5x-6	$x^{2} - 5 x - 6$
60285	Find the Roots (Zeros)	x^2-6x+10	$x^{2} - 6 x + 10$
60286	Find the Maximum/Minimum Value	f(x)=x+1/x	$f (x) = x + \frac{1}{x}$
60287	Find the Critical Points	f(x)=(9-x^2)^(3/5)	$f (x) = {(9 - x^{2})}^{\frac{3}{5}}$
60288	Find the Critical Points	f(x)=(x+8)/(x+4)	$f (x) = \frac{x + 8}{x + 4}$
60289	Find the Critical Points	f(x)=2x^3-3x^2-12x+1	$f (x) = 2 x^{3} - 3 x^{2} - 12 x + 1$
60290	Find the Critical Points	f(x) = square root of 9-x^2	$f (x) = \sqrt{9 - x^{2}}$
60291	Find the Critical Points	f(x)=4+1/3X-1/2X^2	$f (x) = 4 + \frac{1}{3} X - \frac{1}{2} X^{2}$
60292	Find the Critical Points	f(x)=4x^3-6x^2-72x	$f (x) = 4 x^{3} - 6 x^{2} - 72 x$
60293	Find the Critical Points	f(x)=x^3-20x^2+100x	$f (x) = x^{3} - 20 x^{2} + 100 x$
60294	Find the Directrix	x^2-2x-4y+5=0	$x^{2} - 2 x - 4 y + 5 = 0$
60295	Find the Local Maxima and Minima	2x^2+3xy+4y^2-5x+2y	$2 x^{2} + 3 x y + 4 y^{2} - 5 x + 2 y$
60296	Find the Local Maxima and Minima	2x^3-6x^2	$2 x^{3} - 6 x^{2}$
60297	Find the Local Maxima and Minima	x square root of 1-x^2	$x \sqrt{1 - x^{2}}$
60298	Convert to Rectangular Coordinates	(3,180 degrees )	$(3, 180 °)$
60299	Convert to Rectangular Coordinates	(-3,270 degrees )	$(- 3, 270 °)$
60300	Find the x and y Intercepts	x^3-6x^2+9x	$x^{3} - 6 x^{2} + 9 x$