Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
2301	Evaluate	sin(3)	$\sin (3)$
2302	Evaluate	arcsin(0)	$\arcsin (0)$
2303	Evaluate	cos(5pi)	$\cos (5 π)$
2304	Evaluate	arctan(1/2)	$\arctan (\frac{1}{2})$
2305	Find the Critical Points	f(x)=3x^2-12x-8	$f (x) = 3 x^{2} - 12 x - 8$
2306	Find the Critical Points	x^3-3x	$x^{3} - 3 x$
2307	Find the Critical Points	f(x)=(2x^2+3)/(4x^2+5)	$f (x) = \frac{2 x^{2} + 3}{4 x^{2} + 5}$
2308	Find the Critical Points	f(x)=x/(x^2+4)	$f (x) = \frac{x}{x^{2} + 4}$
2309	Find the Critical Points	f(x)=2x^3+3x^2-12x	$f (x) = 2 x^{3} + 3 x^{2} - 12 x$
2310	Find the Critical Points	f(x)=x^4-6x^2	$f (x) = x^{4} - 6 x^{2}$
2311	Find the Critical Points	f(x)=13x^4-78x^2	$f (x) = 13 x^{4} - 78 x^{2}$
2312	Evaluate	7^(1/4)*49^(-5/8)	$7^{\frac{1}{4}} \cdot 49^{- \frac{5}{8}}$
2313	Evaluate	sec(pi/6)^2	$\sec^{2} (\frac{π}{6})$
2314	Evaluate	2e^0	$2 e^{0}$
2315	Find the Derivative - d/dx	(3x+7)^2	${(3 x + 7)}^{2}$
2316	Find the Asymptotes	f(x)=(x^2+1)/(x^2-1)	$f (x) = \frac{x^{2} + 1}{x^{2} - 1}$
2317	Find the Derivative - d/dx	1/((x+3)^2)	$\frac{1}{{(x + 3)}^{2}}$
2318	Find the Derivative - d/dx	2^6*0	$2^{60}$
2319	Find the Derivative - d/dx	x/10-10/x	$\frac{x}{10} - \frac{10}{x}$
2320	Find the Derivative - d/dx	x/11-11/x	$\frac{x}{11} - \frac{11}{x}$
2321	Find the Derivative - d/dx	square root of xe^x	$\sqrt{x} e^{x}$
2322	Find the Derivative - d/dx	6x^4	$6 x^{4}$
2323	Evaluate the Limit	limit as x approaches 100 of ( square root of x-10)/(x-100)	$lim_{x \to 100} \frac{\sqrt{x} - 10}{x - 100}$
2324	Find dy/dx	y=tan(x)	$y = \tan (x)$
2325	Find dy/dx	y=x^3	$y = x^{3}$
2326	Find dy/dx	xy=cot(xy)	$x y = \cot (x y)$
2327	Find the Derivative - d/dx	1/4x^2-1/2 natural log of x	$\frac{1}{4} x^{2} - \frac{1}{2} \ln (x)$
2328	Find dy/dx	y=(10x^3+7)^(3/2)	$y = {(10 x^{3} + 7)}^{\frac{3}{2}}$
2329	Find dy/dx	y=(5x^2+11x)^20	$y = {(5 x^{2} + 11 x)}^{20}$
2330	Find dy/dx	y=7^x	$y = 7^{x}$
2331	Find dy/dx	(y-3)^2=4(x-5)	${(y - 3)}^{2} = 4 (x - 5)$
2332	Find dy/dx	e^ycos(x)=6+sin(xy)	$e^{y} \cos (x) = 6 + \sin (x y)$
2333	Find dy/dx	x^2+y^2=2xy	$x^{2} + y^{2} = 2 x y$
2334	Find dy/dx	x^3+y^3=8	$x^{3} + y^{3} = 8$
2335	Find dy/dx	x^3+y^3=9	$x^{3} + y^{3} = 9$
2336	Find dy/dx	y^2-x^3=22	$y^{2} - x^{3} = 22$
2337	Find dy/dx	y^2=(x^2)/(xy-2500)	$y^{2} = \frac{x^{2}}{x y - 2500}$
2338	Find dy/dx	2x^2+y^2=66	$2 x^{2} + y^{2} = 66$
2339	Find dy/dx	3xy-x^2-4=0	$3 x y - x^{2} - 4 = 0$
2340	Find dy/dx	5y^2=(4x-3)/(4x+3)	$5 y^{2} = \frac{4 x - 3}{4 x + 3}$
2341	Find ds/dA	s=180A-0.30A^3	$s = 180 A - 0.3 A^{3}$
2342	Find dy/dx	x+y=xy	$x + y = x y$
2343	Find dy/dx	tan(x/y)=x+y	$\tan (\frac{x}{y}) = x + y$
2344	Find dy/dx	sin(x+y)=xy	$\sin (x + y) = x y$
2345	Find dy/dx	sin(xy)=y	$\sin (x y) = y$
2346	Find dy/dx	x^4+y^4=16	$x^{4} + y^{4} = 16$
2347	Find dy/dx	x^3+x^2y+4y^2=6	$x^{3} + x^{2} y + 4 y^{2} = 6$
2348	Find dy/dx	x^2-y^2=16	$x^{2} - y^{2} = 16$
2349	Find dy/dx	x^2+y^2=5	$x^{2} + y^{2} = 5$
2350	Find dy/dx	x^2+4y^2=36	$x^{2} + 4 y^{2} = 36$
2351	Evaluate	arccos(1)	$\arccos (1)$
2352	Find dy/dx	x^(2/3)+y^(2/3)=5	$x^{\frac{2}{3}} + y^{\frac{2}{3}} = 5$
2353	Convert to Interval Notation	(x^2-4x)/(x+5)>0	$\frac{x^{2} - 4 x}{x + 5} > 0$
2354	Find the Integral	2e^x	$2 e^{x}$
2355	Find the Integral	y^2	$y^{2}$
2356	Find the Integral	2x	$2 x$
2357	Factor	a^2-2a-1	$a^{2} - 2 a - 1$
2358	Factor	x^3-12x	$x^{3} - 12 x$
2359	Factor	-3x^2+8x+16	$- 3 x^{2} + 8 x + 16$
2360	Factor	36x^2-54x-36	$36 x^{2} - 54 x - 36$
2361	Find the Derivative - d/d@VAR	f(x)=x/(x^2+1)	$f (x) = \frac{x}{x^{2} + 1}$
2362	Find the Derivative - d/d@VAR	f(x)=8/(x^2)	$f (x) = \frac{8}{x^{2}}$
2363	Find the Derivative - d/d@VAR	f(x)=5/(x^2)	$f (x) = \frac{5}{x^{2}}$
2364	Find the Derivative - d/d@VAR	f(x) = square root of 1-6x	$f (x) = \sqrt{1 - 6 x}$
2365	Find the Derivative - d/d@VAR	f(x)=(ax+b)/(cx+d)	$f (x) = \frac{a x + b}{c x + d}$
2366	Find the Derivative - d/d@VAR	f(x)=( natural log of x)/(x^2)	$f (x) = \frac{\ln (x)}{x^{2}}$
2367	Find the Derivative - d/d@VAR	f(x)=x^2+x-7	$f (x) = x^{2} + x - 7$
2368	Find the Derivative - d/d@VAR	f(x)=2^4*0	$f (x) = 2^{40}$
2369	Find the Derivative - d/d@VAR	f(x)=x^2-4	$f (x) = x^{2} - 4$
2370	Find the Derivative - d/d@VAR	f(x)=5^x	$f (x) = 5^{x}$
2371	Find the Derivative - d/d@VAR	f(x)=(3x-8) natural log of 2x^5+3	$f (x) = (3 x - 8) \ln (2 x^{5} + 3)$
2372	Find the Derivative - d/d@VAR	f(x)=7x-3	$f (x) = 7 x - 3$
2373	Find the Derivative - d/d@VAR	f(x)=(x^2)/(x-1)	$f (x) = \frac{x^{2}}{x - 1}$
2374	Find the Antiderivative	sin(2x)	$\sin (2 x)$
2375	Find the Derivative - d/dx	f(x) = cube root of x^2	$f (x) = \sqrt[3]{x^{2}}$
2376	Find the Derivative - d/dx	f(x) = square root of 2	$f (x) = \sqrt{2}$
2377	Find the Derivative - d/dx	f(x)=p^3	$f (x) = p^{3}$
2378	Find the Derivative - d/dx	f(x)=9^x	$f (x) = 9^{x}$
2379	Find the Derivative - d/dx	f(x)=(ax+b)/(cx+d)	$f (x) = \frac{a x + b}{c x + d}$
2380	Find the Derivative - d/dx	f(x)=e^(5x)	$f (x) = e^{5 x}$
2381	Find the Derivative - d/dx	log base 4 of x	$\log_{4} (x)$
2382	Find the Derivative - d/dx	f(x)=3^x	$f (x) = 3^{x}$
2383	Evaluate the Integral	integral of 8 with respect to x	$\int 8 d x$
2384	Find the Derivative - d/dx	f(x)=5x^2	$f (x) = 5 x^{2}$
2385	Find the Derivative - d/dx	f(x)=4x	$f (x) = 4 x$
2386	Find the Derivative - d/dx	y=(3x+1)^(x-3)	$y = {(3 x + 1)}^{x - 3}$
2387	Find the Derivative - d/dx	f(x)=3x^4 natural log of x	$f (x) = 3 x^{4} \ln (x)$
2388	Find the Derivative - d/dx	arctan(1/x)	$\arctan (\frac{1}{x})$
2389	Find the Derivative - d/dx	cos(arcsin(x))	$\cos (\arcsin (x))$
2390	Find the Derivative - d/dx	arcsec(2x)	$arcsec (2 x)$
2391	Find the Derivative - d/dx	-3x^2	$- 3 x^{2}$
2392	Find the Derivative - d/dx	x^2-2x+3	$x^{2} - 2 x + 3$
2393	Find the Derivative - d/dx	x^(e^x)	$x^{e^{x}}$
2394	Find the Derivative - d/dx	x^(5/2)	$x^{\frac{5}{2}}$
2395	Find the Derivative - d/dx	6cos(x)	$6 \cos (x)$
2396	Find the Derivative - d/dx	f(x)=1/(x^4)	$f (x) = \frac{1}{x^{4}}$
2397	Find the Derivative - d/dt	3t^2-30t+72	$3 t^{2} - 30 t + 72$
2398	Find the Derivative - d/dx	f(x)=\|x\|	$f (x) = \| x \|$
2399	Find the Derivative - d/dx	log of 3x	$\log (3 x)$
2400	Find the Derivative - d/dx	natural log of x+ square root of x^2+1	$\ln (x + \sqrt{x^{2} + 1})$