Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
38201	Find the Inflection Points	natural log of x^2-2x+10	$\ln (x^{2} - 2 x + 10)$
38202	Find dy/dx	cos(xy)=8+sin(y)	$\cos (x y) = 8 + \sin (y)$
38203	Find the Domain and Range	f(x)=4/1	$f (x) = \frac{4}{1}$
38204	Find the Domain and Range	c(x)=2000+60x+0.5x^2at^200	$c (x) = 2000 + 60 x + 0.5 x^{2} a t^{200}$
38205	Find the Domain and Range	c(x)=0.002x^3+5x+7813	$c (x) = 0.002 x^{3} + 5 x + 7813$
38206	Find the Domain and Range	c(x)=0.009x^2+9	$c (x) = 0.009 x^{2} + 9$
38207	Find the Domain and Range	c(x)=0.000004x-411/(x^2)	$c (x) = 0.000004 x - \frac{411}{x^{2}}$
38208	Find the Domain and Range	f(x) = square root of 3x+2cos(x)	$f (x) = \sqrt{3} x + 2 \cos (x)$
38209	Find the Domain and Range	f(x) = square root of sin(2x)	$f (x) = \sqrt{\sin (2 x)}$
38210	Find the Domain and Range	f(p)=600-40p	$f (p) = 600 - 40 p$
38211	Find the Domain and Range	f(t)=12t-2t^2	$f (t) = 12 t - 2 t^{2}$
38212	Find the Domain and Range	f(t)=2t+t^2	$f (t) = 2 t + t^{2}$
38213	Find the Domain and Range	f(t)=40t-5t^2	$f (t) = 40 t - 5 t^{2}$
38214	Find the Domain and Range	f(x)=x^3+cx	$f (x) = x^{3} + c x$
38215	Find the Domain and Range	f(x)=0.2x^2-2.4x+5.9	$f (x) = 0.2 x^{2} - 2.4 x + 5.9$
38216	Find the Domain and Range	f(x)=(2(x^2-9))/(x^2-4)	$f (x) = \frac{2 (x^{2} - 9)}{x^{2} - 4}$
38217	Find the Domain and Range	f(x)=2/3x^3-x^2-24x-4	$f (x) = \frac{2}{3} x^{3} - x^{2} - 24 x - 4$
38218	Find the Domain and Range	f(x)=2x+8	$f (x) = 2 x + 8$
38219	Find the Domain and Range	f(x)=2x-8	$f (x) = 2 x - 8$
38220	Find the Domain and Range	f(x)=3cos(x)	$f (x) = 3 \cos (x)$
38221	Find the Domain and Range	f(x)=-3sin(4x)+4	$f (x) = - 3 \sin (4 x) + 4$
38222	Find the Domain and Range	f(x)=3*0.5^x+4	$f (x) = 3 \cdot {0.5}^{x} + 4$
38223	Find the Domain and Range	f(x)=-3\|x-4\|+5	$f (x) = - 3 \| x - 4 \| + 5$
38224	Find the Domain and Range	f(x)=3x^2+12x+19	$f (x) = 3 x^{2} + 12 x + 19$
38225	Find the Domain and Range	f(x)=10x-6	$f (x) = 10 x - 6$
38226	Find the Domain and Range	f(x)=180(3x+1)^3	$f (x) = 180 {(3 x + 1)}^{3}$
38227	Find the Domain and Range	f(x)=2e^(-x^2)	$f (x) = 2 e^{- x^{2}}$
38228	Find the Domain and Range	f(x)=2 square root of x-x	$f (x) = 2 \sqrt{x} - x$
38229	Find the Domain and Range	f(x)=2x^3+33x^2+168x+14	$f (x) = 2 x^{3} + 33 x^{2} + 168 x + 14$
38230	Find the Domain and Range	f(x)=2x^3+42x^2+270x+15	$f (x) = 2 x^{3} + 42 x^{2} + 270 x + 15$
38231	Find the Domain and Range	f(x)=2x^3+42x^2+288x+8	$f (x) = 2 x^{3} + 42 x^{2} + 288 x + 8$
38232	Find the Domain and Range	f(x)=2+e^t	$f (x) = 2 + e^{t}$
38233	Find the Domain and Range	f(x)=2x+32/x*[0,8]	$f (x) = 2 x + \frac{32}{x} \cdot [0, 8]$
38234	Find the Domain and Range	f(x)=(x-2)/(4x-x^3)	$f (x) = \frac{x - 2}{4 x - x^{3}}$
38235	Find the Domain and Range	f(x)=(x-4)/(x-3)	$f (x) = \frac{x - 4}{x - 3}$
38236	Find the Domain and Range	f(x)=-0.1t^2+1.1t+98.6	$f (x) = - 0.1 t^{2} + 1.1 t + 98.6$
38237	Find the Domain and Range	f(x)=1-5/(x^2-4)	$f (x) = 1 - \frac{5}{x^{2} - 4}$
38238	Find the Domain and Range	f(x)=1+1/x+1/(x^2)	$f (x) = 1 + \frac{1}{x} + \frac{1}{x^{2}}$
38239	Find the Domain and Range	f(x)=1+40x^3-3x^5	$f (x) = 1 + 40 x^{3} - 3 x^{5}$
38240	Find the Domain and Range	f(x)=100000+20(9000-20p)	$f (x) = 100000 + 20 (9000 - 20 p)$
38241	Find the Domain and Range	f(x)=10cos(x)+5sin(2x)	$f (x) = 10 \cos (x) + 5 \sin (2 x)$
38242	Find the Domain and Range	f(x)=x^3-8x^2-20x	$f (x) = x^{3} - 8 x^{2} - 20 x$
38243	Find dy/du	y = cube root of u	$y = \sqrt[3]{u}$
38244	Find the Domain and Range	f(x)=x^4-8x^3	$f (x) = x^{4} - 8 x^{3}$
38245	Find dy/dx	y=x^2-5x	$y = x^{2} - 5 x$
38246	Find dy/dx	y=3csc(6x^4)^5	$y = 3 \csc^{5} (6 x^{4})$
38247	Find ds/dt	s=t^15	$s = t^{15}$
38248	Find the Inflection Points	f(x)=x^3-3x^2-9x+10	$f (x) = x^{3} - 3 x^{2} - 9 x + 10$
38249	Find the Domain and Range	f(x)=(x+3)/(x^2+4)	$f (x) = \frac{x + 3}{x^{2} + 4}$
38250	Find the Domain and Range	f(x)=(x+5)/(x^2+4)	$f (x) = \frac{x + 5}{x^{2} + 4}$
38251	Find the Domain and Range	f(x)=(x-1)/((x-1)(x-3)^2)	$f (x) = \frac{x - 1}{(x - 1) {(x - 3)}^{2}}$
38252	Find the Domain and Range	f(x)=x/(3x-1)	$f (x) = \frac{x}{3 x - 1}$
38253	Find the Domain and Range	f(x)=x^(1/13)*(x-1)^2	$f (x) = x^{\frac{1}{13}} \cdot {(x - 1)}^{2}$
38254	Find the Domain and Range	f(x)=x^(2/3)-x^(5/3)	$f (x) = x^{\frac{2}{3}} - x^{\frac{5}{3}}$
38255	Find the Domain and Range	F(x)=x^(4/5)(x-4)^2	$F (x) = x^{\frac{4}{5}} {(x - 4)}^{2}$
38256	Find dx/dt	x=(2e^(8t))/(4t+5)	$x = \frac{2 e^{8 t}}{4 t + 5}$
38257	Find the Domain and Range	f(x)=x^2e^x	$f (x) = x^{2} e^{x}$
38258	Find the Domain and Range	f(x)=x^2e^(-x)	$f (x) = x^{2} e^{- x}$
38259	Find the Domain and Range	f(x)=x^2+11x-15	$f (x) = x^{2} + 11 x - 15$
38260	Find the Domain and Range	f(x)=x^2+9x-3	$f (x) = x^{2} + 9 x - 3$
38261	Find the Domain and Range	f(x)=x^2-18x^2+81	$f (x) = x^{2} - 18 x^{2} + 81$
38262	Find the Domain and Range	f(x)=-x^2-4x-7	$f (x) = - x^{2} - 4 x - 7$
38263	Find the Domain and Range	f(x)=x^2-8x+65	$f (x) = x^{2} - 8 x + 65$
38264	Find the Domain and Range	f(x)=x^3+2/(x^2)+8	$f (x) = x^{3} + \frac{2}{x^{2}} + 8$
38265	Find the Domain and Range	f(x)=-x^3+130x^2-3600x	$f (x) = - x^{3} + 130 x^{2} - 3600 x$
38266	Find the x and y Intercepts	f(x)=(x-6)(x^2-12x-72)	$f (x) = (x - 6) (x^{2} - 12 x - 72)$
38267	Find the Domain and Range	f(x)=x^3+39x^2	$f (x) = x^{3} + 39 x^{2}$
38268	Find the Domain and Range	f(x)=x^3-12x	$f (x) = x^{3} - 12 x$
38269	Find the Domain and Range	f(x)=x^3-12x+2	$f (x) = x^{3} - 12 x + 2$
38270	Find the Domain and Range	f(x)=x^3-21x^2	$f (x) = x^{3} - 21 x^{2}$
38271	Find the Domain and Range	f(x)=x^3-6x^2+9x+1	$f (x) = x^{3} - 6 x^{2} + 9 x + 1$
38272	Find the Domain and Range	f(x)=(3x)/(x^2-36)	$f (x) = \frac{3 x}{x^{2} - 36}$
38273	Find the Domain and Range	f(x)=(3x+1)/(x+2)	$f (x) = \frac{3 x + 1}{x + 2}$
38274	Find the Domain and Range	f(x)=(3x-1)/(x+2)	$f (x) = \frac{3 x - 1}{x + 2}$
38275	Find the Domain and Range	f(x)=(4x^2+11x-3)/(x^2+4x-21)	$f (x) = \frac{4 x^{2} + 11 x - 3}{x^{2} + 4 x - 21}$
38276	Find the Domain and Range	f(x)=(4x+5)/(5x^6+2)	$f (x) = \frac{4 x + 5}{5 x^{6} + 2}$
38277	Find the Domain and Range	f(x)=5/(x-3)-(x^2)/(x-4)	$f (x) = \frac{5}{x - 3} - \frac{x^{2}}{x - 4}$
38278	Find the Domain and Range	f(x)=-5^(-x)	$f (x) = - 5^{- x}$
38279	Find the Domain and Range	f(x)=(5-2x)/(2+x)	$f (x) = \frac{5 - 2 x}{2 + x}$
38280	Find the Domain and Range	f(x)=(5x)/(x^(2-9))	$f (x) = \frac{5 x}{x^{2 - 9}}$
38281	Find the Domain and Range	f(x)=(5x+3)/(6x^6+5)	$f (x) = \frac{5 x + 3}{6 x^{6} + 5}$
38282	Find the Domain and Range	f(x)=(5x-3)/(-8-6x)	$f (x) = \frac{5 x - 3}{- 8 - 6 x}$
38283	Find the Domain and Range	f(x)=(7x)/(x^2-9)	$f (x) = \frac{7 x}{x^{2} - 9}$
38284	Find the Domain and Range	f(x)=(7x)/(x+5)	$f (x) = \frac{7 x}{x + 5}$
38285	Find the Domain and Range	f(x)=(8x)/(x^2+1)	$f (x) = \frac{8 x}{x^{2} + 1}$
38286	Find the Domain and Range	f(x)=ax^2+bx+3	$f (x) = a x^{2} + b x + 3$
38287	Find the Domain and Range	f(x)=e^(-2x)-1	$f (x) = e^{- 2 x} - 1$
38288	Find the Domain and Range	f(x)=e^(9x)	$f (x) = e^{9 x}$
38289	Find the Domain and Range	f(x)=e^x-3x-x^2	$f (x) = e^{x} - 3 x - x^{2}$
38290	Find the Domain and Range	f(x) = natural log of (x)^2x=3	$f (x) = \ln ({(x)}^{2} x) = 3$
38291	Find the Derivative - d/dx	cot(x/2)	$\cot (\frac{x}{2})$
38292	Find the Derivative - d/dx	9xe^x	$9 x e^{x}$
38293	Find the Domain and Range	f(x) = square root of x^2+10x+26	$f (x) = \sqrt{x^{2} + 10 x + 26}$
38294	Find the Domain and Range	f(x) = square root of x^2-5x	$f (x) = \sqrt{x^{2} - 5 x}$
38295	Find the Domain and Range	f(x) = square root of 1+4x	$f (x) = \sqrt{1 + 4 x}$
38296	Find the Domain and Range	f(x)=( natural log of x)/( square root of x)	$f (x) = \frac{\ln (x)}{\sqrt{x}}$
38297	Find the Domain and Range	f(x)=4-6x^2(-5,-146)	$f (x) = 4 - 6 x^{2} (- 5, - 146)$
38298	Find the Domain and Range	f(x)=9x^2+x^5 log of xx , x^n	$f (x) = 9 x^{2} + x^{5} \log (x) x$ , $x^{n}$
38299	Find the Domain and Range	f(x)=((x^2-x-2)/(x^2-x-6))	$f (x) = (\frac{x^{2} - x - 2}{x^{2} - x - 6})$
38300	Find the Domain and Range	f(x)=(-1/(2x^2))	$f (x) = (\frac{- 1}{2 x^{2}})$