Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
22301	Find the Local Maxima and Minima	y=x^3-8x^2+16x+1	$y = x^{3} - 8 x^{2} + 16 x + 1$
22302	Find the Local Maxima and Minima	y=15x^4+20x^3	$y = 15 x^{4} + 20 x^{3}$
22303	Find the Local Maxima and Minima	y=2x^2-4x	$y = 2 x^{2} - 4 x$
22304	Find the Local Maxima and Minima	y=16-x^2	$y = 16 - x^{2}$
22305	Find the Local Maxima and Minima	y=4x^3-48x-2	$y = 4 x^{3} - 48 x - 2$
22306	Find the Local Maxima and Minima	y=3x^3-36x-7	$y = 3 x^{3} - 36 x - 7$
22307	Find the Local Maxima and Minima	y=3x^3-36x-9	$y = 3 x^{3} - 36 x - 9$
22308	Find the Local Maxima and Minima	y=2x^3-24x^2-198x+500	$y = 2 x^{3} - 24 x^{2} - 198 x + 500$
22309	Find the Local Maxima and Minima	y=2x^3-24x-1	$y = 2 x^{3} - 24 x - 1$
22310	Find the Local Maxima and Minima	y=4x^3-48x-8	$y = 4 x^{3} - 48 x - 8$
22311	Find the Local Maxima and Minima	y=5x^2+3x+4	$y = 5 x^{2} + 3 x + 4$
22312	Find the Local Maxima and Minima	y=4x^3-48x-4	$y = 4 x^{3} - 48 x - 4$
22313	Find the Local Maxima and Minima	y=6-2x-x^2	$y = 6 - 2 x - x^{2}$
22314	Find the Local Maxima and Minima	y=8x^3-x^4+x^3(8-x)	$y = 8 x^{3} - x^{4} + x^{3} (8 - x)$
22315	Find the Local Maxima and Minima	y=cos(x)+x/2	$y = \cos (x) + \frac{x}{2}$
22316	Find the Local Maxima and Minima	y=6(x-1)^(2/3)-2(x-1)^2	$y = 6 {(x - 1)}^{\frac{2}{3}} - 2 {(x - 1)}^{2}$
22317	Find the Local Maxima and Minima	y=sin(x)+cos(x)	$y = \sin (x) + \cos (x)$
22318	Find the Local Maxima and Minima	y=sin(x+pi/2)	$y = \sin (x + \frac{π}{2})$
22319	Find the Local Maxima and Minima	y=x- natural log of x	$y = x - \ln (x)$
22320	Find the Domain and Range	f(x)=12(x-1)^(2/3)-4(x-1)^2	$f (x) = 12 {(x - 1)}^{\frac{2}{3}} - 4 {(x - 1)}^{2}$
22321	Find the Domain and Range	f(x)=2x^6-3x^5	$f (x) = 2 x^{6} - 3 x^{5}$
22322	Find the Domain and Range	f(x)=x^3-6x^2+9x	$f (x) = x^{3} - 6 x^{2} + 9 x$
22323	Find the Domain and Range	f(x)=x^4e^x	$f (x) = x^{4} e^{x}$
22324	Find the Domain and Range	f(x)=x^4-12x^3+48x^2-64x	$f (x) = x^{4} - 12 x^{3} + 48 x^{2} - 64 x$
22325	Find the Domain and Range	f(x)=x^4-2x^2	$f (x) = x^{4} - 2 x^{2}$
22326	Find the Domain and Range	f(x)=x^3-2x^2-5x+6	$f (x) = x^{3} - 2 x^{2} - 5 x + 6$
22327	Find the Domain and Range	f(x)=x^3-9x	$f (x) = x^{3} - 9 x$
22328	Find the Domain and Range	f(x)=0.2x^5+0.6x^4-9x^3-3x^2+50x+30	$f (x) = 0.2 x^{5} + 0.6 x^{4} - 9 x^{3} - 3 x^{2} + 50 x + 30$
22329	Find the Domain and Range	f(x)=2-3e^(-2x)	$f (x) = 2 - 3 e^{- 2 x}$
22330	Find the Domain and Range	f(x)=-2sin(x+1)	$f (x) = - 2 \sin (x + 1)$
22331	Find the Domain and Range	f(x)=3x^4-8x^3	$f (x) = 3 x^{4} - 8 x^{3}$
22332	Find the Domain and Range	f(x)=3x(x-2)^3	$f (x) = 3 x {(x - 2)}^{3}$
22333	Find the Domain and Range	f(x)=3x(x-3)^3	$f (x) = 3 x {(x - 3)}^{3}$
22334	Find the Domain and Range	f(x)=5x^2e^(2x)	$f (x) = 5 x^{2} e^{2 x}$
22335	Find the Domain and Range	f(x)=7x^6-10x^5	$f (x) = 7 x^{6} - 10 x^{5}$
22336	Find the Domain and Range	g(x)=x^3-12x	$g (x) = x^{3} - 12 x$
22337	Find the Domain and Range	f(x)=4/(x-7)	$f (x) = \frac{4}{x - 7}$
22338	Find the Domain and Range	f(x)=(1+x)/(1-x)	$f (x) = \frac{1 + x}{1 - x}$
22339	Find the Domain and Range	f(x)=1000/(1+2^(-0.3x))	$f (x) = \frac{1000}{1 + 2^{- 0.3 x}}$
22340	Find the Domain and Range	f(x)=(15x^3+35x^2-100x)/(56x-2x^2-4x^3)	$f (x) = \frac{15 x^{3} + 35 x^{2} - 100 x}{56 x - 2 x^{2} - 4 x^{3}}$
22341	Find the Domain and Range	f(x)=(x^(2-3))/(x-2)	$f (x) = \frac{x^{2 - 3}}{x - 2}$
22342	Find the Domain and Range	f(x)=(x-6)(x^2-12x-72)	$f (x) = (x - 6) (x^{2} - 12 x - 72)$
22343	Find the Domain and Range	f(x)=(sin(x))/x	$f (x) = \frac{\sin (x)}{x}$
22344	Find the Domain and Range	f(x)=(4x-4)/(x+6)	$f (x) = \frac{4 x - 4}{x + 6}$
22345	Find the Domain and Range	f(x)=2/x-8/(x^2)	$f (x) = \frac{2}{x} - \frac{8}{x^{2}}$
22346	Find the Domain and Range	f(x)=(9x)/(x^2-36)	$f (x) = \frac{9 x}{x^{2} - 36}$
22347	Find the Domain and Range	f(x)=x^(5/3)-5x^(2/3)	$f (x) = x^{\frac{5}{3}} - 5 x^{\frac{2}{3}}$
22348	Find the Domain and Range	f(x)=x^3-27x	$f (x) = x^{3} - 27 x$
22349	Find the Domain and Range	f(x)=3-5x	$f (x) = 3 - 5 x$
22350	Find the Domain and Range	f(x)=3x^2+12x-16	$f (x) = 3 x^{2} + 12 x - 16$
22351	Find the Domain and Range	f(x)=(x^2+9)(81-x^2)	$f (x) = (x^{2} + 9) (81 - x^{2})$
22352	Find the Domain and Range	f(x)=(x^2-12)/(x-4)	$f (x) = \frac{x^{2} - 12}{x - 4}$
22353	Evaluate the Limit	limit as x approaches 0 of (cos(3x)-1)/(3x)	$lim_{x \to 0} \frac{\cos (3 x) - 1}{3 x}$
22354	Find the Domain and Range	f(x)=3^x-3	$f (x) = 3^{x} - 3$
22355	Find the Domain and Range	f(x)=x/(2x-1)	$f (x) = \frac{x}{2 x - 1}$
22356	Find the Domain and Range	f(x)=(x-1)/(x+1)	$f (x) = \frac{x - 1}{x + 1}$
22357	Find the Domain and Range	f(x)=10x-x^2	$f (x) = 10 x - x^{2}$
22358	Find the Average Value of the Function	f(x)=2 square root of x , [0,25]	$f (x) = 2 \sqrt{x}$ , $[0, 25]$
22359	Find the Average Value of the Function	f(x)=2 square root of x , [0,4]	$f (x) = 2 \sqrt{x}$ , $[0, 4]$
22360	Find the Average Value of the Function	f(x)=x+96/x , [6,16]	$f (x) = x + \frac{96}{x}$ , $[6, 16]$
22361	Find the Average Value of the Function	f(x)=6x , [1,5]	$f (x) = 6 x$ , $[1, 5]$
22362	Find the Local Maxima and Minima	y=x-x^2	$y = x - x^{2}$
22363	Evaluate the Limit	limit as x approaches 0 of (2sin(x))/x	$lim_{x \to 0} \frac{2 \sin (x)}{x}$
22364	Find the Local Maxima and Minima	f(x)=x^3-3/2x^2	$f (x) = x^{3} - \frac{3}{2} x^{2}$
22365	Find the Local Maxima and Minima	f(x)=-x^3+x^2+8x-3	$f (x) = - x^{3} + x^{2} + 8 x - 3$
22366	Find the Local Maxima and Minima	f(x)=-x^3+12x^2-21x+100	$f (x) = - x^{3} + 12 x^{2} - 21 x + 100$
22367	Find the Local Maxima and Minima	F(x)=x^3+3x^2+1	$F (x) = x^{3} + 3 x^{2} + 1$
22368	Evaluate the Limit	limit as x approaches pi/2 of sin(sin(x))	$lim_{x \to \frac{π}{2}} \sin (\sin (x))$
22369	Find the Local Maxima and Minima	f(x)=x^3+32x+432	$f (x) = x^{3} + 32 x + 432$
22370	Find the Asymptotes	h(t)=(t^2-2t)/(t^4-16)	$h (t) = \frac{t^{2} - 2 t}{t^{4} - 16}$
22371	Find the Local Maxima and Minima	f(x)=x^3+4x-5	$f (x) = x^{3} + 4 x - 5$
22372	Find the Local Maxima and Minima	f(x)=x^3-1.2x+3	$f (x) = x^{3} - 1.2 x + 3$
22373	Find the Local Maxima and Minima	f(x)=-x^3+9x^2+165x-400	$f (x) = - x^{3} + 9 x^{2} + 165 x - 400$
22374	Find the Local Maxima and Minima	f(x)=x^3-12x+22	$f (x) = x^{3} - 12 x + 22$
22375	Find the Local Maxima and Minima	f(x)=x^3-3x^2-24x+30	$f (x) = x^{3} - 3 x^{2} - 24 x + 30$
22376	Find the Antiderivative	-2x square root of 8-x^2	$- 2 x \sqrt{8 - x^{2}}$
22377	Find the Local Maxima and Minima	f(x)=x^3-3x-4	$f (x) = x^{3} - 3 x - 4$
22378	Find the Local Maxima and Minima	f(x)=x^3-3x^2-9x+25	$f (x) = x^{3} - 3 x^{2} - 9 x + 25$
22379	Find the Local Maxima and Minima	f(x)=x^3-27x+10	$f (x) = x^{3} - 27 x + 10$
22380	Find the Local Maxima and Minima	f(x)=x^3-27x+30	$f (x) = x^{3} - 27 x + 30$
22381	Find the Local Maxima and Minima	f(x)=x^3-2x^2-4x+8	$f (x) = x^{3} - 2 x^{2} - 4 x + 8$
22382	Find the Local Maxima and Minima	f(x)=x^3-2x^2-4x+3	$f (x) = x^{3} - 2 x^{2} - 4 x + 3$
22383	Find the Local Maxima and Minima	f(x)=x^3-25x	$f (x) = x^{3} - 25 x$
22384	Find the Local Maxima and Minima	f(x)=x^2+4x+18	$f (x) = x^{2} + 4 x + 18$
22385	Find the Local Maxima and Minima	f(x)=x^2+5x+9	$f (x) = x^{2} + 5 x + 9$
22386	Find the Local Maxima and Minima	f(x)=x^2+2x-4	$f (x) = x^{2} + 2 x - 4$
22387	Find the Local Maxima and Minima	f(x)=x^2+12x^2+36x+3	$f (x) = x^{2} + 12 x^{2} + 36 x + 3$
22388	Find the Local Maxima and Minima	f(x)=x^2 cube root of x-2	$f (x) = x^{2} \sqrt[3]{x - 2}$
22389	Find the Local Maxima and Minima	f(x)=x^10e^x-3	$f (x) = x^{10} e^{x} - 3$
22390	Find the Local Maxima and Minima	f(x)=x^2e^(3x)	$f (x) = x^{2} e^{3 x}$
22391	Find the Local Maxima and Minima	f(x)=x^2+13x+40	$f (x) = x^{2} + 13 x + 40$
22392	Find the Local Maxima and Minima	f(x)=x^2-4x-7	$f (x) = x^{2} - 4 x - 7$
22393	Find the Local Maxima and Minima	f(x)=x^2-4x-1	$f (x) = x^{2} - 4 x - 1$
22394	Find the Local Maxima and Minima	f(x)=x^2-4x-5	$f (x) = x^{2} - 4 x - 5$
22395	Find the Local Maxima and Minima	f(x)=x^2-6x+5	$f (x) = x^{2} - 6 x + 5$
22396	Find the Critical Points	f(x)=(x^2)/(x-2)	$f (x) = \frac{x^{2}}{x - 2}$
22397	Find the Local Maxima and Minima	f(x)=x^2-6x+15	$f (x) = x^{2} - 6 x + 15$
22398	Find the Critical Points	x^(4/5)(x-5)^2	$x^{\frac{4}{5}} {(x - 5)}^{2}$
22399	Find Where Increasing/Decreasing Using Derivatives	x^3-3x	$x^{3} - 3 x$
22400	Find the Local Maxima and Minima	f(x)=x^2-8x+9	$f (x) = x^{2} - 8 x + 9$