Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
48401	Find the Second Derivative	v=2t^2+4t+14	$v = 2 t^{2} + 4 t + 14$
48402	Find the Second Derivative	x^2y^2-2x=6	$x^{2} y^{2} - 2 x = 6$
48403	Find the Second Derivative	3xy+y^2=10	$3 x y + y^{2} = 10$
48404	Find the Second Derivative	y=6x-3	$y = 6 x - 3$
48405	Find the Second Derivative	y=z-8/z	$y = z - \frac{8}{z}$
48406	Find the Second Derivative	8 square root of y=x-y	$8 \sqrt{y} = x - y$
48407	Find the Second Derivative	x^2+6y^3=5	$x^{2} + 6 y^{3} = 5$
48408	Find the Second Derivative	y=6x^4-7x^2+2	$y = 6 x^{4} - 7 x^{2} + 2$
48409	Find the Second Derivative	y=4xe^(2x)	$y = 4 x e^{2 x}$
48410	Find the Second Derivative	y=4xe^x	$y = 4 x e^{x}$
48411	Find the Second Derivative	y=2x^3e^x	$y = 2 x^{3} e^{x}$
48412	Find the Second Derivative	y=(2x-1)/(3x+5)	$y = \frac{2 x - 1}{3 x + 5}$
48413	Find the Second Derivative	x^2y^2-6x=8	$x^{2} y^{2} - 6 x = 8$
48414	Find the Second Derivative	e^(4y)+x=9y	$e^{4 y} + x = 9 y$
48415	Find the Second Derivative	y^9-9/2x^2=2	$y^{9} - \frac{9}{2} x^{2} = 2$
48416	Find the Second Derivative	18x^2+y^2=8	$18 x^{2} + y^{2} = 8$
48417	Find the Second Derivative	y=6sin(2x+10)	$y = 6 \sin (2 x + 10)$
48418	Find the Second Derivative	y=1/(5x)	$y = \frac{1}{5 x}$
48419	Find the Second Derivative	y=(x^4)/4+2/9x^3-x^2+9x-8	$y = \frac{x^{4}}{4} + \frac{2}{9} x^{3} - x^{2} + 9 x - 8$
48420	Find the Second Derivative	y=sin(x^2e^x)	$y = \sin (x^{2} e^{x})$
48421	Find the Second Derivative	y=(x^4)/4+2/9x^3-x^2+9x-9	$y = \frac{x^{4}}{4} + \frac{2}{9} x^{3} - x^{2} + 9 x - 9$
48422	Find the Second Derivative	3x^2+4y^2=9	$3 x^{2} + 4 y^{2} = 9$
48423	Find the Second Derivative	y=xe^(7x)	$y = x e^{7 x}$
48424	Find the Second Derivative	y=2x^4-7x^2+2	$y = 2 x^{4} - 7 x^{2} + 2$
48425	Find the Second Derivative	y^11-11/2x^2=4	$y^{11} - \frac{11}{2} x^{2} = 4$
48426	Find the Second Derivative	e^(2y)+x=8y	$e^{2 y} + x = 8 y$
48427	Find the Second Derivative	y=e^(x^4)+11x	$y = e^{x^{4}} + 11 x$
48428	Find the Second Derivative	y = natural log of x^2+3x+15	$y = \ln (x^{2} + 3 x + 15)$
48429	Find the Second Derivative	v=3t^2+6t+9	$v = 3 t^{2} + 6 t + 9$
48430	Find the Second Derivative	17x^2+y^2=6	$17 x^{2} + y^{2} = 6$
48431	Find the Second Derivative	x^2y^2-8x=8	$x^{2} y^{2} - 8 x = 8$
48432	Find the Second Derivative	y=(x^4)/4+4/9x^3-x^2+2x-5	$y = \frac{x^{4}}{4} + \frac{4}{9} x^{3} - x^{2} + 2 x - 5$
48433	Find the Second Derivative	v=3t^2+5t+10	$v = 3 t^{2} + 5 t + 10$
48434	Find the Second Derivative	y=-5cos(x)	$y = - 5 \cos (x)$
48435	Find the Second Derivative	y=7x+2	$y = 7 x + 2$
48436	Find the Second Derivative	y=4x^3 square root of x	$y = 4 x^{3} \sqrt{x}$
48437	Find the Second Derivative	y=(x^4)/4+8/9x^3-x^2+8x-6	$y = \frac{x^{4}}{4} + \frac{8}{9} x^{3} - x^{2} + 8 x - 6$
48438	Find the Second Derivative	y=e^(3x)cos(2x)	$y = e^{3 x} \cos (2 x)$
48439	Find the Fourth Derivative	y=cot(9x)	$y = \cot (9 x)$
48440	Find the Fourth Derivative	y=(x-1)(x^2+3x-5)	$y = (x - 1) (x^{2} + 3 x - 5)$
48441	Find the Fourth Derivative	5x^2-4y^2=20	$5 x^{2} - 4 y^{2} = 20$
48442	Find the Fourth Derivative	y=(x-1)(x^2+3x-4)	$y = (x - 1) (x^{2} + 3 x - 4)$
48443	Find the Fourth Derivative	f(x)=e^2x	$f (x) = e^{2} x$
48444	Find the Fourth Derivative	y=x^7-x^(1/2)	$y = x^{7} - x^{\frac{1}{2}}$
48445	Convert from Degrees to Radians	0.28 degrees	$0.28 °$
48446	Write in Exponential Form	log of 1/10=-1	$\log (\frac{1}{10}) = - 1$
48447	Write in Exponential Form	log base 125 of 5=1/3	$\log_{125} (5) = \frac{1}{3}$
48448	Find the Degree	tan(theta)=-4/5	$\tan (θ) = \frac{- 4}{5}$
48449	Find the Third Derivative	y=(x^4)/4+5/6x^3-x^2+4x-8	$y = \frac{x^{4}}{4} + \frac{5}{6} x^{3} - x^{2} + 4 x - 8$
48450	Find the Third Derivative	y=2x^3e^x	$y = 2 x^{3} e^{x}$
48451	Find the Third Derivative	y=6 cube root of x^2-20 fifth root of x^4+7/( seventh root of x^5)+4/( sixth root of x)	$y = 6 \sqrt[3]{x^{2}} - 20 \sqrt[5]{x^{4}} + \frac{7}{\sqrt[7]{x^{5}}} + \frac{4}{\sqrt[6]{x}}$
48452	Find the Third Derivative	y=x^(7/2)-35x^2	$y = x^{\frac{7}{2}} - 35 x^{2}$
48453	Find the Third Derivative	y=4xe^(2x)	$y = 4 x e^{2 x}$
48454	Find the Third Derivative	y=x^2e^(8x)	$y = x^{2} e^{8 x}$
48455	Find the Third Derivative	y=x^5e^x	$y = x^{5} e^{x}$
48456	Find the Area Under the Curve	f(x)=x^2+2x-15 , [-7,-1]	$f (x) = x^{2} + 2 x - 15$ , $[- 7, - 1]$
48457	Find the Area Under the Curve	f(x)=x^2+x-12 , [-3,5]	$f (x) = x^{2} + x - 12$ , $[- 3, 5]$
48458	Find the Area Under the Curve	f(x)=x^2+2x-8 , [-3,6]	$f (x) = x^{2} + 2 x - 8$ , $[- 3, 6]$
48459	Find the Area Under the Curve	f(x)=x^2-2x-3 , [1,6]	$f (x) = x^{2} - 2 x - 3$ , $[1, 6]$
48460	Evaluate Using Summation Formulas	sum from i=1 to 10 of 2i	$\sum_{i = 1}^{10} 2 i$
48461	Evaluate Using Summation Formulas	sum from i=1 to 5 of 4i	$\sum_{i = 1}^{5} 4 i$
48462	Find the Roots (Zeros)	cos(x)-x^3=0	$\cos (x) - x^{3} = 0$
48463	Find the Roots (Zeros)	x^2+4x+4=0	$x^{2} + 4 x + 4 = 0$
48464	Find the Roots (Zeros)	3x^2=48	$3 x^{2} = 48$
48465	Find the Roots (Zeros)	cos(theta)=1/2	$\cos (θ) = \frac{1}{2}$
48466	Find the Roots (Zeros)	sin(2x)=cos(x)	$\sin (2 x) = \cos (x)$
48467	Find the Local Maxima and Minima	f(x,y)=(x-1)^2+y^3-3y^2-9y+5	$f (x, y) = {(x - 1)}^{2} + y^{3} - 3 y^{2} - 9 y + 5$
48468	Find the Local Maxima and Minima	f(x,y)=xy+y-16x	$f (x, y) = x y + y - 16 x$
48469	Find the Local Maxima and Minima	f(x,y)=x+4/x-y-9/y+10	$f (x, y) = x + \frac{4}{x} - y - \frac{9}{y} + 10$
48470	Find the Local Maxima and Minima	y=(x^3)/3+(x^2)/2-2x+9	$y = \frac{x^{3}}{3} + \frac{x^{2}}{2} - 2 x + 9$
48471	Find the Local Maxima and Minima	y=2x^3-3x^2-12x	$y = 2 x^{3} - 3 x^{2} - 12 x$
48472	Find the Maximum/Minimum Value	p=78e^(-0.000025x)	$p = 78 e^{- 0.000025 x}$
48473	Find the Maximum/Minimum Value	C=2x+700000/x	$C = 2 x + \frac{700000}{x}$
48474	Simplify/Condense	tan(arccos(x))	$\tan (\arccos (x))$
48475	Simplify/Condense	cos(x)(sec(x)-cos(x))	$\cos (x (\sec (x) - \cos (x)))$
48476	Find the Local Maxima and Minima	-9x-x^2	$- 9 x - x^{2}$
48477	Find the Local Maxima and Minima	3x^5-4x^3-3x	$3 x^{5} - 4 x^{3} - 3 x$
48478	Find the Local Maxima and Minima	x^4-8x^2+8	$x^{4} - 8 x^{2} + 8$
48479	Find the Local Maxima and Minima	x^4-72x^2+1296	$x^{4} - 72 x^{2} + 1296$
48480	Find the Local Maxima and Minima	x^3-4x^2-16x+1	$x^{3} - 4 x^{2} - 16 x + 1$
48481	Find the Local Maxima and Minima	(4e^x+4e^(-x))/2	$\frac{4 e^{x} + 4 e^{- x}}{2}$
48482	Find the Local Maxima and Minima	f(x)=-5x^2+14x+3	$f (x) = - 5 x^{2} + 14 x + 3$
48483	Find the Local Maxima and Minima	2x^3-9x^2-324x	$2 x^{3} - 9 x^{2} - 324 x$
48484	Find the Local Maxima and Minima	x^4-4x^2-1	$x^{4} - 4 x^{2} - 1$
48485	Find the Local Maxima and Minima	square root of x^2+8x+32	$\sqrt{x^{2} + 8 x + 32}$
48486	Find the Center and Radius	x^2+(y-7)^2=49	$x^{2} + {(y - 7)}^{2} = 49$
48487	Find the Local Maxima and Minima	(7x^2)/(x^2-4)	$\frac{7 x^{2}}{x^{2} - 4}$
48488	Find the Local Maxima and Minima	8x^2+128/x-6	$8 x^{2} + \frac{128}{x} - 6$
48489	Find the Local Maxima and Minima	2x^5-5x^4-10x^3+4	$2 x^{5} - 5 x^{4} - 10 x^{3} + 4$
48490	Find the Local Maxima and Minima	2cos(x)^2	$2 \cos^{2} (x)$
48491	Find the Local Maxima and Minima	x^3-9x^2+24x-2	$x^{3} - 9 x^{2} + 24 x - 2$
48492	Find the Local Maxima and Minima	x^3-12x+25	$x^{3} - 12 x + 25$
48493	Find the Local Maxima and Minima	(x+1)^7-7x-3	${(x + 1)}^{7} - 7 x - 3$
48494	Find the Local Maxima and Minima	4+x-x^2	$4 + x - x^{2}$
48495	Find the Local Maxima and Minima	125x^3-15x+2	$125 x^{3} - 15 x + 2$
48496	Find the Local Maxima and Minima	4x^3-256x	$4 x^{3} - 256 x$
48497	Find the Local Maxima and Minima	x^2-2x-7	$x^{2} - 2 x - 7$
48498	Find the Local Maxima and Minima	x^4+4x^3-9	$x^{4} + 4 x^{3} - 9$
48499	Find the Local Maxima and Minima	x^4-2x^2-3	$x^{4} - 2 x^{2} - 3$
48500	Find the Local Maxima and Minima	2x^3-9x^2-60x	$2 x^{3} - 9 x^{2} - 60 x$