Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
50601	Find the Derivative Using Product Rule - d/dx	y=(y^-1+y^-2)(3y^-3-8y^-4)	$y = (y^{- 1} + y^{- 2}) (3 y^{- 3} - 8 y^{- 4})$
50602	Find the Derivative Using Product Rule - d/dx	(4x^2+5)(5x-4)	$(4 x^{2} + 5) (5 x - 4)$
50603	Find the Derivative Using Product Rule - d/dx	y=x^3*x^7	$y = x^{3} \cdot x^{7}$
50604	Find the Derivative Using Product Rule - d/dx	y=(6-x^2)(x^3-4x+1)	$y = (6 - x^{2}) (x^{3} - 4 x + 1)$
50605	Find the Derivative Using Product Rule - d/dx	y=(4x-7)^5(5x+8)^3	$y = {(4 x - 7)}^{5} {(5 x + 8)}^{3}$
50606	Find the Derivative Using Product Rule - d/dt	(d^2)/(dt^2)(t^12 natural log of t)	$\frac{d^{2}}{d t^{2}} (t^{12} \ln (t))$
50607	Find the Derivative Using Product Rule - d/dz	(5-z^2)(z^3-z+4)	$(5 - z^{2}) (z^{3} - z + 4)$
50608	Find the Derivative Using Product Rule - d/dx	y=(x+1)(7 square root of x+2)	$y = (x + 1) (7 \sqrt{x} + 2)$
50609	Find the Derivative Using Product Rule - d/dx	y=(4x^2+3)(2x-3)	$y = (4 x^{2} + 3) (2 x - 3)$
50610	Find the Derivative Using Product Rule - d/dx	(d^2)/(dx^2)(5csc(x))	$\frac{d^{2}}{d x^{2}} (5 \csc (x))$
50611	Find the Antiderivative	f(x)=2e^(2x)	$f (x) = 2 e^{2 x}$
50612	Find the Antiderivative	f(x)=2sin(x)	$f (x) = 2 \sin (x)$
50613	Find the Antiderivative	f(x)=2x^3-2/3x^2+5x	$f (x) = 2 x^{3} - \frac{2}{3} x^{2} + 5 x$
50614	Find the Antiderivative	f(x)=3 square root of x-2 cube root of x	$f (x) = 3 \sqrt{x} - 2 \sqrt[3]{x}$
50615	Find the Antiderivative	f(x)=2/x-x+ square root of 2	$f (x) = \frac{2}{x} - x + \sqrt{2}$
50616	Find the Antiderivative	f(x)=4/(x^-1)+3/(x^-2)	$f (x) = \frac{4}{x^{- 1}} + \frac{3}{x^{- 2}}$
50617	Find the Antiderivative	f(x)=6/( square root of x)	$f (x) = \frac{6}{\sqrt{x}}$
50618	Find the Antiderivative	f(x) = square root of x+4/(x^2)+7x-1	$f (x) = \sqrt{x} + \frac{4}{x^{2}} + 7 x - 1$
50619	Find the Antiderivative	f(x)=10x^4+12x^5	$f (x) = 10 x^{4} + 12 x^{5}$
50620	Find the Antiderivative	f(x)=11x^10	$f (x) = 11 x^{10}$
50621	Find the Antiderivative	f(x)=49-x^2	$f (x) = 49 - x^{2}$
50622	Find the Antiderivative	f(x)=5x^4-2x^5	$f (x) = 5 x^{4} - 2 x^{5}$
50623	Find the Antiderivative	f(x)=sin(x)cos(x)	$f (x) = \sin (x) \cos (x)$
50624	Find the Antiderivative	h(x)=x^-5	$h (x) = x^{- 5}$
50625	Find the Antiderivative	f(x)=1+x+sin(3x)	$f (x) = 1 + x + \sin (3 x)$
50626	Find the Antiderivative	f(t)=(3t^4-t^3+6t^2)/(t^4)	$f (t) = \frac{3 t^{4} - t^{3} + 6 t^{2}}{t^{4}}$
50627	Find the Domain	y=(x+3)/(4- square root of x^2-9)	$y = \frac{x + 3}{4 - \sqrt{x^{2} - 9}}$
50628	Find the Domain	y = natural log of x^2-12x	$y = \ln (x^{2} - 12 x)$
50629	Find the Domain	y = log of 5-2x	$y = \log (5 - 2 x)$
50630	Find the Domain	f(s,t) = square root of s^2+t^2	$f (s, t) = \sqrt{s^{2} + t^{2}}$
50631	Find the Domain	x=-1000p+50000	$x = - 1000 p + 50000$
50632	Find the Domain	x=-200p+8000	$x = - 200 p + 8000$
50633	Find Where the Mean Value Theorem is Satisfied	f(x)=5x^3 , [1,2]	$f (x) = 5 x^{3}$ , $[1, 2]$
50634	Find Where the Mean Value Theorem is Satisfied	f(x) = natural log of x , [1,8]	$f (x) = \ln (x)$ , $[1, 8]$
50635	Find Where the Mean Value Theorem is Satisfied	f(x)=3 square root of x , [4,9]	$f (x) = 3 \sqrt{x}$ , $[4, 9]$
50636	Find the Equation Using Slope-Intercept Form	(10-x)y^2=x^3 , (2,1)	$(10 - x) y^{2} = x^{3}$ , $(2, 1)$
50637	Find the Equation Using Slope-Intercept Form	m=-2/5 , b=-6	$m = \frac{- 2}{5}$ , $b = - 6$
50638	Determine if Continuous	f(x)=(3+x)/(x-7)	$f (x) = \frac{3 + x}{x - 7}$
50639	Determine if Continuous	f(x)=(x^2-4x+3)/(x^2-1)	$f (x) = \frac{x^{2} - 4 x + 3}{x^{2} - 1}$
50640	Determine if Continuous	f(x) = square root of x^2+49	$f (x) = \sqrt{x^{2} + 49}$
50641	Determine if Continuous	f(x)=(x^2-9x+20)/(x^2-16)	$f (x) = \frac{x^{2} - 9 x + 20}{x^{2} - 16}$
50642	Find the Roots (Zeros)	3x^2-5x+1=0	$3 x^{2} - 5 x + 1 = 0$
50643	Find the Roots (Zeros)	8x^3+50x^2-41x+7=0	$8 x^{3} + 50 x^{2} - 41 x + 7 = 0$
50644	Find the Roots (Zeros)	sin(x)=x^2-x	$\sin (x) = x^{2} - x$
50645	Find the Roots (Zeros)	x^2-3x-18=0	$x^{2} - 3 x - 18 = 0$
50646	Find the Roots (Zeros)	x^2-7x+12=0	$x^{2} - 7 x + 12 = 0$
50647	Find the Roots (Zeros)	x^4-25x^2+144=0	$x^{4} - 25 x^{2} + 144 = 0$
50648	Find the Roots (Zeros)	x^5-81x=0	$x^{5} - 81 x = 0$
50649	Find the Roots (Zeros)	y=x^2-6x-16	$y = x^{2} - 6 x - 16$
50650	Find the Roots (Zeros)	y=x^2-8x-20	$y = x^{2} - 8 x - 20$
50651	Evaluate Using Summation Formulas	sum from i=1 to 25 of i^3-2i	$\sum_{i = 1}^{25} i^{3} - 2 i$
50652	Evaluate Using Summation Formulas	sum from n=1 to 7 of 10n+90	$\sum_{n = 1}^{7} 10 n + 90$
50653	Evaluate Using Summation Formulas	sum from j=1 to 7 of 1/3j+1	$\sum_{j = 1}^{7} \frac{1}{3} j + 1$
50654	Evaluate Using Summation Formulas	10+ sum from x=1 to 5 of x^3-1	$10 + \sum_{x = 1}^{5} x^{3} - 1$
50655	Find the Area Under the Curve	f(x)=x^2-x-12 , [-7,-2]	$f (x) = x^{2} - x - 12$ , $[- 7, - 2]$
50656	Find the Area Under the Curve	f(x)=4+7e^(0.5x) , [-4,1]	$f (x) = 4 + 7 e^{0.5 x}$ , $[- 4, 1]$
50657	Convert to a Mixed Number	2.2	$2.2$
50658	Convert to a Mixed Number	2.25	$2.25$
50659	Convert to a Mixed Number	3.6	$3.6$
50660	Convert to a Mixed Number	3.3	$3.3$
50661	Convert to a Mixed Number	0.7	$0.7$
50662	Divide	68/3	$\frac{68}{3}$
50663	Divide	30/10	$\frac{30}{10}$
50664	Divide	10/16	$\frac{10}{16}$
50665	Divide	121/2	$\frac{121}{2}$
50666	Divide	16/1.5	$\frac{16}{1.5}$
50667	Divide	14/5	$\frac{14}{5}$
50668	Divide	3÷3	$3 \div 3$
50669	Divide	100/25	$\frac{100}{25}$
50670	Divide	125/25	$\frac{125}{25}$
50671	Divide	216÷6	$216 \div 6$
50672	Divide	144/9	$\frac{144}{9}$
50673	Divide	81/6	$\frac{81}{6}$
50674	Divide	78÷3	$78 \div 3$
50675	Divide	2/25	$\frac{2}{25}$
50676	Divide	20/30	$\frac{20}{30}$
50677	Divide	47/2	$\frac{47}{2}$
50678	Divide	49/5	$\frac{49}{5}$
50679	Divide	280/2	$\frac{280}{2}$
50680	Divide	1/-4	$\frac{1}{- 4}$
50681	Divide	105/6	$\frac{105}{6}$
50682	Divide	9.5/2	$\frac{9.5}{2}$
50683	Divide	168/2	$\frac{168}{2}$
50684	Divide	-64/16	$- \frac{64}{16}$
50685	Divide	4.5/6	$\frac{4.5}{6}$
50686	Divide	(2+3i)/(2+i)	$\frac{2 + 3 i}{2 + i}$
50687	Divide	170/2	$\frac{170}{2}$
50688	Divide	49/9.8	$\frac{49}{9.8}$
50689	Divide	270/3	$\frac{270}{3}$
50690	Divide	(4 square root of x)/x	$\frac{4 \sqrt{x}}{x}$
50691	Divide	1000/3	$\frac{1000}{3}$
50692	Divide	26/6	$\frac{26}{6}$
50693	Divide	18/9	$\frac{18}{9}$
50694	Divide	(12x^3+15x^2-6x)/(3x)	$\frac{12 x^{3} + 15 x^{2} - 6 x}{3 x}$
50695	Divide	(1/2)÷(2/3)	$\frac{1}{2} \div \frac{2}{3}$
50696	Divide	25/12	$\frac{25}{12}$
50697	Divide	84/2	$\frac{84}{2}$
50698	Divide	(4/3)÷(2/15)	$\frac{4}{3} \div \frac{2}{15}$
50699	Divide	5.2/2	$\frac{5.2}{2}$
50700	Divide	15/24	$\frac{15}{24}$