Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
49301	Find the Second Derivative	f(x)=5x^2-13x-8/(x^2)	$f (x) = 5 x^{2} - 13 x - \frac{8}{x^{2}}$
49302	Find the Second Derivative	f(x)=sin(x/4)	$f (x) = \sin (\frac{x}{4})$
49303	Find the Second Derivative	f(x)=x^2g(x)	$f (x) = x^{2} g (x)$
49304	Find the Second Derivative	f(x)=-x^2+8x-9	$f (x) = - x^{2} + 8 x - 9$
49305	Find the Second Derivative	f(x)=cx^2-2x^-2	$f (x) = c x^{2} - 2 x^{- 2}$
49306	Find the Second Derivative	f(x)=4x^2+9x	$f (x) = 4 x^{2} + 9 x$
49307	Find the Second Derivative	f(x)=x square root of 18-x	$f (x) = x \sqrt{18 - x}$
49308	Find the Second Derivative	f(x)=(x-6)e^x	$f (x) = (x - 6) e^{x}$
49309	Find the Second Derivative	f(x)=1/(13x-3)	$f (x) = \frac{1}{13 x - 3}$
49310	Find the Second Derivative	f(x)=5x^2-5sin(2x)	$f (x) = 5 x^{2} - 5 \sin (2 x)$
49311	Find the Second Derivative	f(x)=1/24x^4+1/6x^3+1/2x^2+x+1	$f (x) = \frac{1}{24} x^{4} + \frac{1}{6} x^{3} + \frac{1}{2} x^{2} + x + 1$
49312	Find the Second Derivative	f(x)=2x+13	$f (x) = 2 x + 13$
49313	Find the Second Derivative	f(x)=x^3(x^2-16x+8)	$f (x) = x^{3} (x^{2} - 16 x + 8)$
49314	Find the Second Derivative	f(x)=7x^9(3x^2-12)	$f (x) = 7 x^{9} (3 x^{2} - 12)$
49315	Find the Second Derivative	f(x)=xcos(x)	$f (x) = x \cos (x)$
49316	Find the Second Derivative	f(x)=cx^2-6x^-2	$f (x) = c x^{2} - 6 x^{- 2}$
49317	Find the Second Derivative	f(x)=-x^4+7x^2-6x	$f (x) = - x^{4} + 7 x^{2} - 6 x$
49318	Find the Second Derivative	f(x)=8x^2+6x-6	$f (x) = 8 x^{2} + 6 x - 6$
49319	Find the Second Derivative	f(x)=x^4-4x^3-90x^2+5x+4	$f (x) = x^{4} - 4 x^{3} - 90 x^{2} + 5 x + 4$
49320	Find the Second Derivative	f(t)=25/(t^2)-5/t	$f (t) = \frac{25}{t^{2}} - \frac{5}{t}$
49321	Find the Second Derivative	g(t)=2/(3t^4)	$g (t) = \frac{2}{3 t^{4}}$
49322	Find the Second Derivative	f(x)=2csc(x)	$f (x) = 2 \csc (x)$
49323	Find the Second Derivative	f(x)=5xsin(x)	$f (x) = 5 x \sin (x)$
49324	Find the Second Derivative	f(x)=2sin(x)^3+3sin(x)-1	$f (x) = 2 \sin^{3} (x) + 3 \sin (x) - 1$
49325	Find the Second Derivative	f(x)=9x^-5	$f (x) = 9 x^{- 5}$
49326	Find the Second Derivative	f(x)=4xsin(x)	$f (x) = 4 x \sin (x)$
49327	Find the Second Derivative	f(x) = sixth root of (x^2+1)^5	$f (x) = \sqrt[6]{{(x^{2} + 1)}^{5}}$
49328	Find the Second Derivative	V(x)=(4x^3-15)(2x^4+5x)	$V (x) = (4 x^{3} - 15) (2 x^{4} + 5 x)$
49329	Find the Second Derivative	f(t)=t^3+4/3t^2-2/t	$f (t) = t^{3} + \frac{4}{3} t^{2} - \frac{2}{t}$
49330	Find the Second Derivative	f(x)=3xsin(x)	$f (x) = 3 x \sin (x)$
49331	Find the Second Derivative	f(x)=5x^3-7e^x	$f (x) = 5 x^{3} - 7 e^{x}$
49332	Find the Second Derivative	h(t)=e^(-0.3t)sin(5t)	$h (t) = e^{- 0.3 t} \sin (5 t)$
49333	Find the Second Derivative	f(x)=16x^16+9x^9-x	$f (x) = 16 x^{16} + 9 x^{9} - x$
49334	Find the Second Derivative	f(x)=cx^2-x^-2	$f (x) = c x^{2} - x^{- 2}$
49335	Find the Second Derivative	s(t)=7t^3+t+4	$s (t) = 7 t^{3} + t + 4$
49336	Find the Second Derivative	f(x)=cx^2-4x^-2	$f (x) = c x^{2} - 4 x^{- 2}$
49337	Find Amplitude, Period, and Phase Shift	y=sin(1/5x)	$y = \sin (\frac{1}{5} x)$
49338	Find the x and y Intercepts	3x+6y^2-y=7	$3 x + 6 y^{2} - y = 7$
49339	Find the x and y Intercepts	4y=x^3	$4 y = x^{3}$
49340	Find the x and y Intercepts	y=1/5x^2-12/5x+1/5	$y = \frac{1}{5} x^{2} - \frac{12}{5} x + \frac{1}{5}$
49341	Find the x and y Intercepts	3x+4y=-23	$3 x + 4 y = - 23$
49342	Find the x and y Intercepts	y=x^2-8x-48	$y = x^{2} - 8 x - 48$
49343	Find the x and y Intercepts	y=x^2-23x+127	$y = x^{2} - 23 x + 127$
49344	Find the x and y Intercepts	y=x^2+12x+32	$y = x^{2} + 12 x + 32$
49345	Find Amplitude, Period, and Phase Shift	f(theta)=13tan(theta/4)	$f (θ) = 13 \tan (\frac{θ}{4})$
49346	Find Amplitude, Period, and Phase Shift	y=-10cos(x)	$y = - 10 \cos (x)$
49347	Find the Next Term	40/27 , 20/9 , 10/3	$\frac{40}{27}$ , $\frac{20}{9}$ , $\frac{10}{3}$
49348	Find the x and y Intercepts	7x+4=-7y+4	$7 x + 4 = - 7 y + 4$
49349	Find the x and y Intercepts	8y=48	$8 y = 48$
49350	Find the x and y Intercepts	y=\| natural log of x+1\|	$y = \| \ln (x + 1) \|$
49351	Find the x and y Intercepts	16x^2+y^2-32x+8y+16=0	$16 x^{2} + y^{2} - 32 x + 8 y + 16 = 0$
49352	Find the x and y Intercepts	3x=y+3	$3 x = y + 3$
49353	Find the x and y Intercepts	8x-4y=16	$8 x - 4 y = 16$
49354	Find the x and y Intercepts	y = log base 3 of x-2+3	$y = \log_{3} (x - 2) + 3$
49355	Find the x and y Intercepts	y=x^2-5x-36	$y = x^{2} - 5 x - 36$
49356	Find the x and y Intercepts	x^2+y^2-2x-8y-19=0	$x^{2} + y^{2} - 2 x - 8 y - 19 = 0$
49357	Find the x and y Intercepts	4x^2+16y^2=64	$4 x^{2} + 16 y^{2} = 64$
49358	Find the Foci	16x^2-9y^2=144	$16 x^{2} - 9 y^{2} = 144$
49359	Find the Foci	4x^2-16y^2=64	$4 x^{2} - 16 y^{2} = 64$
49360	Find the Foci	(x^2)/100+(y^2)/36=1	$\frac{x^{2}}{100} + \frac{y^{2}}{36} = 1$
49361	Find the Foci	(x^2)/4-(y^2)/25=1	$\frac{x^{2}}{4} - \frac{y^{2}}{25} = 1$
49362	Solve by Completing the Square	x^2+20x-6=0	$x^{2} + 20 x - 6 = 0$
49363	Convert to Rectangular Coordinates	(4,(7pi)/3)	$(4, \frac{7 π}{3})$
49364	Find the Discriminant	x^2-2x+1=0	$x^{2} - 2 x + 1 = 0$
49365	Find the Discriminant	25x^2-20x+4=0	$25 x^{2} - 20 x + 4 = 0$
49366	Find Where Increasing/Decreasing	-3x^2-6x-6	$- 3 x^{2} - 6 x - 6$
49367	Find Where Increasing/Decreasing	3x^2-8x+5	$3 x^{2} - 8 x + 5$
49368	Reduce the Fraction	6/36	$\frac{6}{36}$
49369	Find the Domain	f(x)=(7+x)/(1-7x)	$f (x) = \frac{7 + x}{1 - 7 x}$
49370	Find the Domain	f(x) = square root of 3x+12	$f (x) = \sqrt{3 x + 12}$
49371	Find the Domain	f(x)=(7+x)/(e^(cos(x)))	$f (x) = \frac{7 + x}{e^{\cos (x)}}$
49372	Find the Domain	f(x) = square root of x^2+9x+14	$f (x) = \sqrt{x^{2} + 9 x + 14}$
49373	Find the Domain	G(t)=(1-6t)/(5+t)	$G (t) = \frac{1 - 6 t}{5 + t}$
49374	Find the Domain	f(x)=(x-3)^(1/2)	$f (x) = {(x - 3)}^{\frac{1}{2}}$
49375	Find the Domain	p(x)=2x-2	$p (x) = 2 x - 2$
49376	Find the Domain	f(x)=(20x^2)/(x^4+100)	$f (x) = \frac{20 x^{2}}{x^{4} + 100}$
49377	Find the Domain	f(x) = natural log of e^x-5	$f (x) = \ln (e^{x} - 5)$
49378	Find the Domain	G(t)=(1-5t)/(2+t)	$G (t) = \frac{1 - 5 t}{2 + t}$
49379	Find the Domain	f(x)=(9+x)/(e^(cos(x)))	$f (x) = \frac{9 + x}{e^{\cos (x)}}$
49380	Find the Domain	f(x)=-3/(2t^(3/2))	$f (x) = - \frac{3}{2 t^{\frac{3}{2}}}$
49381	Find the Domain	f(x)=(x+4)/(x^2-25)	$f (x) = \frac{x + 4}{x^{2} - 25}$
49382	Find the Domain	f(x) = square root of 4-9x	$f (x) = \sqrt{4 - 9 x}$
49383	Find the Domain	g(x)=-1/(2(8-x)^(1/2))	$g (x) = - \frac{1}{2 {(8 - x)}^{\frac{1}{2}}}$
49384	Find the Domain	f(x)=(25-e^(x^2))/(1-e^(25-x^2))	$f (x) = \frac{25 - e^{x^{2}}}{1 - e^{25 - x^{2}}}$
49385	Find the Area Under the Curve	y=4x^2 , [0,7/4]	$y = 4 x^{2}$ , $[0, \frac{7}{4}]$
49386	Find the Area Under the Curve	y=x^3+3x^2+2x , -2<=x<=0	$y = x^{3} + 3 x^{2} + 2 x$ , $- 2 \leq x \leq 0$
49387	Find the Area Under the Curve	y=x^3-4x^2+3x , 0<=x<=3	$y = x^{3} - 4 x^{2} + 3 x$ , $0 \leq x \leq 3$
49388	Find the Area Under the Curve	y=25-x^2 ; [-5,5]	$y = 25 - x^{2}$ ; $[- 5, 5]$
49389	Find the Area Under the Curve	y=27-x^3 , [1,3]	$y = 27 - x^{3}$ , $[1, 3]$
49390	Find the Area Under the Curve	y=2x ; [2,4]	$y = 2 x$ ; $[2, 4]$
49391	Find the Maximum/Minimum Value	xe^(3x)	$x e^{3 x}$
49392	Find the Maximum/Minimum Value	x^4+4x^3-9	$x^{4} + 4 x^{3} - 9$
49393	Find the Maximum/Minimum Value	x^3-6x^2+8	$x^{3} - 6 x^{2} + 8$
49394	Find the Maximum/Minimum Value	x^2-5x+1	$x^{2} - 5 x + 1$
49395	Find the Maximum/Minimum Value	x^2-8x+9	$x^{2} - 8 x + 9$
49396	Find the Maximum/Minimum Value	3x^4+4x^3-12x^2+5	$3 x^{4} + 4 x^{3} - 12 x^{2} + 5$
49397	Find the Maximum/Minimum Value	5-3x-x^2	$5 - 3 x - x^{2}$
49398	Find the Maximum/Minimum Value	15x^2-75x+850	$15 x^{2} - 75 x + 850$
49399	Find the Maximum/Minimum Value	2x^2-4x-2	$2 x^{2} - 4 x - 2$
49400	Find the Maximum/Minimum Value	(x^2)/2- natural log of x	$\frac{x^{2}}{2} - \ln (x)$