Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
63501	Find the Concavity	f(x)=2x^3-3x^2-36x	$f (x) = 2 x^{3} - 3 x^{2} - 36 x$
63502	Find the Concavity	f(x)=x^3-9x^2-21x+5	$f (x) = x^{3} - 9 x^{2} - 21 x + 5$
63503	Find the Concavity	f(x)=x^3-12x^2-27x+4	$f (x) = x^{3} - 12 x^{2} - 27 x + 4$
63504	Find the Concavity	f(x)=x^3-2x^2	$f (x) = x^{3} - 2 x^{2}$
63505	Find the Concavity	f(x)=x^3-4x	$f (x) = x^{3} - 4 x$
63506	Find the Concavity	f(x)=x^3-6x^2-63x	$f (x) = x^{3} - 6 x^{2} - 63 x$
63507	Find the Concavity	g(x)=170+8x^3+x^4	$g (x) = 170 + 8 x^{3} + x^{4}$
63508	Find the Concavity	f(x)=-x^6+42x^5-42x+5	$f (x) = - x^{6} + 42 x^{5} - 42 x + 5$
63509	Find the Concavity	f(x)=x+ square root of x	$f (x) = x + \sqrt{x}$
63510	Find the Concavity	f(x)=2x^3-7x^2-40x+5	$f (x) = 2 x^{3} - 7 x^{2} - 40 x + 5$
63511	Find the Concavity	f(x)=3x^4-2x^3+5	$f (x) = 3 x^{4} - 2 x^{3} + 5$
63512	Find the Concavity	f(x)=-4x^3-24x^2+8x+9	$f (x) = - 4 x^{3} - 24 x^{2} + 8 x + 9$
63513	Find the Concavity	f(x)=7x^6-13x^5	$f (x) = 7 x^{6} - 13 x^{5}$
63514	Find the Concavity	f(x)=-x^3+9x^2-52	$f (x) = - x^{3} + 9 x^{2} - 52$
63515	Find the Concavity	f(x)=x^2-3x+5	$f (x) = x^{2} - 3 x + 5$
63516	Find the Concavity	f(x)=x square root of 16-x^2	$f (x) = x \sqrt{16 - x^{2}}$
63517	Find the Concavity	f(x) = natural log of x^2-4x+20	$f (x) = \ln (x^{2} - 4 x + 20)$
63518	Find the Concavity	f(x) = natural log of x^2+81	$f (x) = \ln (x^{2} + 81)$
63519	Find the Concavity	f(x) = natural log of x^2-2x+5	$f (x) = \ln (x^{2} - 2 x + 5)$
63520	Find the Inflection Points	y=x^2e^(-x)	$y = x^{2} e^{- x}$
63521	Find the Inflection Points	y=4x^3-x^4	$y = 4 x^{3} - x^{4}$
63522	Find the Inflection Points	y=3x^5-10x^4	$y = 3 x^{5} - 10 x^{4}$
63523	Find the Inflection Points	y=x^3-4x^2-3x+5	$y = x^{3} - 4 x^{2} - 3 x + 5$
63524	Find the Inflection Points	y=x^3-4x^2-3x+6	$y = x^{3} - 4 x^{2} - 3 x + 6$
63525	Find the Inflection Points	y=x^3-4x	$y = x^{3} - 4 x$
63526	Find the Inflection Points	y=x^3+6x^2+12x+9	$y = x^{3} + 6 x^{2} + 12 x + 9$
63527	Find the Inflection Points	y=(4x)/(x^2-4)	$y = \frac{4 x}{x^{2} - 4}$
63528	Find the Inflection Points	y=(7x)/(x^2+9)	$y = \frac{7 x}{x^{2} + 9}$
63529	Find the Inflection Points	y=1/3x^3-x^2-3x+5	$y = \frac{1}{3} x^{3} - x^{2} - 3 x + 5$
63530	Find the Inflection Points	y=(2x)/( square root of x^2+2)	$y = \frac{2 x}{\sqrt{x^{2} + 2}}$
63531	Find the Inflection Points	y=(x-1)^3+4	$y = {(x - 1)}^{3} + 4$
63532	Find the Inflection Points	y=2 square root of 3x+4cos(x)	$y = 2 \sqrt{3} x + 4 \cos (x)$
63533	Find the Inflection Points	y=2x^3+3x^2-12x+1	$y = 2 x^{3} + 3 x^{2} - 12 x + 1$
63534	Find the Inflection Points	y=2x-tan(x)	$y = 2 x - \tan (x)$
63535	Find the Inflection Points	y=2x^3-3x^2-12x	$y = 2 x^{3} - 3 x^{2} - 12 x$
63536	Find the Inflection Points	y=x-3x^(1/3)	$y = x - 3 x^{\frac{1}{3}}$
63537	Find the Inflection Points	y=x^5-5x^4	$y = x^{5} - 5 x^{4}$
63538	Find the Inflection Points	y=x^4-3x^2-4	$y = x^{4} - 3 x^{2} - 4$
63539	Find the Inflection Points	y=x^4-5x^2-4	$y = x^{4} - 5 x^{2} - 4$
63540	Find the Inflection Points	y=x^3-8x^2-12x+8	$y = x^{3} - 8 x^{2} - 12 x + 8$
63541	Find the Inflection Points	y=x^3-7x^2-5x+2	$y = x^{3} - 7 x^{2} - 5 x + 2$
63542	Find the Inflection Points	y=x^3-7x^2-24x+5	$y = x^{3} - 7 x^{2} - 24 x + 5$
63543	Find the Fourth Derivative	x^2e^(3x)	$x^{2} e^{3 x}$
63544	Find the Fourth Derivative	3x^5	$3 x^{5}$
63545	Find the Third Derivative	-e^(-t^2)	$- e^{- t^{2}}$
63546	Find the Third Derivative	arctan(x)	$\arctan (x)$
63547	Find the Maximum/Minimum Value	f(x)=(x-2 square root of x)^2	$f (x) = {(x - 2 \sqrt{x})}^{2}$
63548	Find the Maximum/Minimum Value	f(x)=\|x\|	$f (x) = \| x \|$
63549	Find the Maximum/Minimum Value	f(x)=12x^3-9x^4	$f (x) = 12 x^{3} - 9 x^{4}$
63550	Find the Maximum/Minimum Value	f(x)=3x square root of x-x^2	$f (x) = 3 x \sqrt{x - x^{2}}$
63551	Find the Maximum/Minimum Value	f(x)=2x^3-15x^2+36x+1	$f (x) = 2 x^{3} - 15 x^{2} + 36 x + 1$
63552	Find the Maximum/Minimum Value	f(x)=2cos(x)	$f (x) = 2 \cos (x)$
63553	Find the Maximum/Minimum Value	f(x)=xe^(-x/2)	$f (x) = x e^{- \frac{x}{2}}$
63554	Find the Maximum/Minimum Value	f(x)=x^4-4x^3+10	$f (x) = x^{4} - 4 x^{3} + 10$
63555	Find the Maximum/Minimum Value	f(x)=x^3e^x	$f (x) = x^{3} e^{x}$
63556	Find the Maximum/Minimum Value	f(x)=x^3-6x^2+9x+1	$f (x) = x^{3} - 6 x^{2} + 9 x + 1$
63557	Find the Maximum/Minimum Value	f(x)=x^3-12x+1	$f (x) = x^{3} - 12 x + 1$
63558	Find the Maximum/Minimum Value	f(x)=x^2+9x-6	$f (x) = x^{2} + 9 x - 6$
63559	Find the Maximum/Minimum Value	f(x)=4+x-x^2	$f (x) = 4 + x - x^{2}$
63560	Find the Maximum/Minimum Value	f(x)=3x^4+16x^3+24x^2+32	$f (x) = 3 x^{4} + 16 x^{3} + 24 x^{2} + 32$
63561	Find the Maximum/Minimum Value	f(x)=3x^4+4x^3-12x^2+5	$f (x) = 3 x^{4} + 4 x^{3} - 12 x^{2} + 5$
63562	Find the Maximum/Minimum Value	f(x)=x^2+2x-1	$f (x) = x^{2} + 2 x - 1$
63563	Find the Maximum/Minimum Value	f(x)=x square root of 64-x^2	$f (x) = x \sqrt{64 - x^{2}}$
63564	Find the Maximum/Minimum Value	f(x)=x^2+4x+5	$f (x) = x^{2} + 4 x + 5$
63565	Find the Domain	square root of 4-x^2-y^2	$\sqrt{4 - x^{2} - y^{2}}$
63566	Find the Domain	square root of 5-x* square root of x^2-4	$\sqrt{5 - x} \cdot \sqrt{x^{2} - 4}$
63567	Find the Domain	square root of 8x+5	$\sqrt{8 x + 5}$
63568	Find the Domain	cube root of 4x+8	$\sqrt[3]{4 x + 8}$
63569	Find the Domain	(x-5)(x^2-10x-50)	$(x - 5) (x^{2} - 10 x - 50)$
63570	Find the Domain	(x^2+5x)/(25-x^2)	$\frac{x^{2} + 5 x}{25 - x^{2}}$
63571	Find the Domain	(x^2)/(x^2-1)	$\frac{x^{2}}{x^{2} - 1}$
63572	Find the Domain	( log of x-4)/( square root of 27-3x)	$\frac{\log (x - 4)}{\sqrt{27 - 3 x}}$
63573	Find the Domain	x^5-3	$x^{5} - 3$
63574	Find the Domain	x^(cos(x))	$x^{\cos (x)}$
63575	Find the Domain	x square root of x^2-1	$x \sqrt{x^{2} - 1}$
63576	Find the Domain	natural log of x^2-4x	$\ln (x^{2} - 4 x)$
63577	Find dy/dt	y=t( natural log of 6t)^2	$y = t \ln^{2} (6 t)$
63578	Find dy/dt	y=t( natural log of 7t)^2	$y = t \ln^{2} (7 t)$
63579	Find dy/dt	y=tan( square root of 5t)	$y = \tan (\sqrt{5 t})$
63580	Find dy/dt	y=arctan( square root of 4t)	$y = \arctan (\sqrt{4 t})$
63581	Find dz/dx	z=x^3+(x^2)/(1-x-4x^2)	$z = x^{3} + \frac{x^{2}}{1 - x - 4 x^{2}}$
63582	Find dz/dy	square root of y+z=1+z^2y^2	$\sqrt{y + z} = 1 + z^{2} y^{2}$
63583	Find dy/dt	y=(6t-1)(4t-4)^-1	$y = (6 t - 1) {(4 t - 4)}^{- 1}$
63584	Find dy/dt	y=t/(t^2-1)	$y = \frac{t}{t^{2} - 1}$
63585	Find dy/dt	y=(4t-1)(6t-3)^-1	$y = (4 t - 1) {(6 t - 3)}^{- 1}$
63586	Find dy/dp	y=e^p(p+p square root of p)	$y = e^{p} (p + p \sqrt{p})$
63587	Find dy/dt	(dy)/(dt)=45t^4	$\frac{d y}{d t} = 45 t^{4}$
63588	Find dy/dt	y=3t(2t^2-7)^3	$y = 3 t {(2 t^{2} - 7)}^{3}$
63589	Find dy/dt	y=3t(2t^2-7)^5	$y = 3 t {(2 t^{2} - 7)}^{5}$
63590	Find dy/dt	y=3t(2t^3-5)^5	$y = 3 t {(2 t^{3} - 5)}^{5}$
63591	Find dy/dt	y=3t(2t^3-7)^4	$y = 3 t {(2 t^{3} - 7)}^{4}$
63592	Find dy/dt	y=3t^-4-5t^-1	$y = 3 t^{- 4} - 5 t^{- 1}$
63593	Find dy/dt	y=arccot( square root of 4t)	$y = arccot (\sqrt{4 t})$
63594	Find dx/dy	y=tan( square root of 1-x)	$y = \tan (\sqrt{1 - x})$
63595	Find dx/dy	ysec(x)=3xtan(y)	$y \sec (x) = 3 x \tan (y)$
63596	Find dx/dy	y=x square root of 1-x^2	$y = x \sqrt{1 - x^{2}}$
63597	Find dx/dy	y=3x	$y = 3 x$
63598	Find dw/dz	w=8z^2e^Z	$w = 8 z^{2} e^{Z}$
63599	Find dx/dt	x^6+t^6x+t^2-3=0	$x^{6} + t^{6} x + t^{2} - 3 = 0$
63600	Find dx/dy	2x^4+5y^4=7xy	$2 x^{4} + 5 y^{4} = 7 x y$