Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
65301	Find the Roots (Zeros)	x^2-10x+34	$x^{2} - 10 x + 34$
65302	Find the Roots (Zeros)	3x^3-x^2+2x-4	$3 x^{3} - x^{2} + 2 x - 4$
65303	Find the Second Derivative	f(x)=x^4-2x^3	$f (x) = x^{4} - 2 x^{3}$
65304	Find the Second Derivative	f(x)=x^2e^(9x)	$f (x) = x^{2} e^{9 x}$
65305	Split Using Partial Fraction Decomposition	2/(x(2x+3))	$\frac{2}{x (2 x + 3)}$
65306	Solve by Substitution	x^2+y^2-25=0 2x-y=-5	$x^{2} + y^{2} - 25 = 0$ $2 x - y = - 5$
65307	Find the Second Derivative	f(x)=(3x^3+7)^7	$f (x) = {(3 x^{3} + 7)}^{7}$
65308	Find the Second Derivative	f(x)=5/(x^2)	$f (x) = \frac{5}{x^{2}}$
65309	Find the Second Derivative	f(x)=6/x	$f (x) = \frac{6}{x}$
65310	Find the Second Derivative	f(x)=x/(x-3)	$f (x) = \frac{x}{x - 3}$
65311	Find the Second Derivative	f(x)=(x^2+1)^7	$f (x) = {(x^{2} + 1)}^{7}$
65312	Divide Using Synthetic Division	((x^2-3x^2+2x-1)dx)/(x^2-4x+4)	$\frac{(x^{2} - 3 x^{2} + 2 x - 1) d x}{x^{2} - 4 x + 4}$
65313	Find the Maximum/Minimum Value	f(x)=x^2+8x+10	$f (x) = x^{2} + 8 x + 10$
65314	Find the Maximum/Minimum Value	s(t)=192t-16t^2	$s (t) = 192 t - 16 t^{2}$
65315	Find the Vertex	R(x)=-x^2+8x	$R (x) = - x^{2} + 8 x$
65316	Find the Critical Points	f(x)=2x^2-512 square root of x	$f (x) = 2 x^{2} - 512 \sqrt{x}$
65317	Find the Critical Points	f(x)=x^4e^(-x)	$f (x) = x^{4} e^{- x}$
65318	Find the Critical Points	f(x)=x^6(x-4)^5	$f (x) = x^{6} {(x - 4)}^{5}$
65319	Find the Critical Points	f(x)=x^2-12x+6	$f (x) = x^{2} - 12 x + 6$
65320	Find the Critical Points	f(x)=x^3+3x+1	$f (x) = x^{3} + 3 x + 1$
65321	Find the Critical Points	f(x)=x^2-4x+5	$f (x) = x^{2} - 4 x + 5$
65322	Write in y=mx+b Form	y-3=2(x-1)	$y - 3 = 2 (x - 1)$
65323	Write in y=mx+b Form	y-70=1/5(x-113)	$y - 70 = \frac{1}{5} (x - 113)$
65324	Find the Critical Points	f(t)=t square root of 9-t^2	$f (t) = t \sqrt{9 - t^{2}}$
65325	Find the Critical Points	f(x)=1/(x+6)	$f (x) = \frac{1}{x + 6}$
65326	Write in y=mx+b Form	-11x+2y=1	$- 11 x + 2 y = 1$
65327	Find the Critical Points	f(x)=4-2x^2	$f (x) = 4 - 2 x^{2}$
65328	Find the Critical Points	f(x)=9x^4-54x^2	$f (x) = 9 x^{4} - 54 x^{2}$
65329	Find the Critical Points	f(x)=7x^3-6x^2+8	$f (x) = 7 x^{3} - 6 x^{2} + 8$
65330	Find the Critical Points	f(x) = square root of x	$f (x) = \sqrt{x}$
65331	Find the Critical Points	f(x)=2x^3+3x^2-120x+6	$f (x) = 2 x^{3} + 3 x^{2} - 120 x + 6$
65332	Find the Critical Points	f(x)=36x^2-3/2x^3	$f (x) = 36 x^{2} - \frac{3}{2} x^{3}$
65333	Find the Critical Points	f(x)=(x^2)/(x^2+7)	$f (x) = \frac{x^{2}}{x^{2} + 7}$
65334	Find the Critical Points	f(x)=x/(x^2-1)	$f (x) = \frac{x}{x^{2} - 1}$
65335	Convert to a Percentage	(5pi)/4	$\frac{5 π}{4}$
65336	Determine if Rational	square root of 53	$\sqrt{53}$
65337	Find the Horizontal Tangent Line	y=2x^2-4x	$y = 2 x^{2} - 4 x$
65338	Find the Critical Points	-x^3+12x^2+99x-400	$- x^{3} + 12 x^{2} + 99 x - 400$
65339	Find the Critical Points	x^(1/3)(x-8)	$x^{\frac{1}{3}} (x - 8)$
65340	Find the Critical Points	x^(1/5)-x^(6/5)	$x^{\frac{1}{5}} - x^{\frac{6}{5}}$
65341	Find the Critical Points	x^(3/5)(4-x)	$x^{\frac{3}{5}} (4 - x)$
65342	Find the Critical Points	9-x^2	$9 - x^{2}$
65343	Find the Critical Points	square root of 49-x^2	$\sqrt{49 - x^{2}}$
65344	Find the Critical Points	2sin(x)-cos(2x)	$2 \sin (x) - \cos (2 x)$
65345	Find the Critical Points	3x^2+2x-1	$3 x^{2} + 2 x - 1$
65346	Find the Critical Points	3x^2-18x+24	$3 x^{2} - 18 x + 24$
65347	Find the Critical Points	(9x^2+25)/x	$\frac{9 x^{2} + 25}{x}$
65348	Find the Tangent Line at x=2	f(x)=(3x)/(2^x) , x=2	$f (x) = \frac{3 x}{2^{x}}$ , $x = 2$
65349	Find the Second Derivative	x^2+2y^2=2	$x^{2} + 2 y^{2} = 2$
65350	Find the Second Derivative	x^2+8y^2=8	$x^{2} + 8 y^{2} = 8$
65351	Find the Fourth Derivative	y=2x^5	$y = 2 x^{5}$
65352	Find the Second Derivative	3x^2+y^2=6	$3 x^{2} + y^{2} = 6$
65353	Find the Second Derivative	r=1/(4s^3)-6/(5s^4)	$r = \frac{1}{4 s^{3}} - \frac{6}{5 s^{4}}$
65354	Find the Second Derivative	r=1/(4s^3)-8/(3s^2)	$r = \frac{1}{4 s^{3}} - \frac{8}{3 s^{2}}$
65355	Find the Second Derivative	x^2-y^2=1	$x^{2} - y^{2} = 1$
65356	Find the Second Derivative	y=x^(6/7)+5x	$y = x^{\frac{6}{7}} + 5 x$
65357	Find the Second Derivative	y=(x^4)/4+4/9x^3-x^2+2x-7	$y = \frac{x^{4}}{4} + \frac{4}{9} x^{3} - x^{2} + 2 x - 7$
65358	Find the Second Derivative	y=(x^4+8)/(x^2)	$y = \frac{x^{4} + 8}{x^{2}}$
65359	Find the Third Derivative	y^2=x^3	$y^{2} = x^{3}$
65360	Find the Third Derivative	y=(x^2)/(x^2+6)	$y = \frac{x^{2}}{x^{2} + 6}$
65361	Find the Second Derivative	y = square root of x+3	$y = \sqrt{x + 3}$
65362	Find the Second Derivative	y = square root of x+5	$y = \sqrt{x + 5}$
65363	Find the Second Derivative	y=e^(5x^2)	$y = e^{5 x^{2}}$
65364	Find the Second Derivative	y=(3x^2)/(x+2)	$y = \frac{3 x^{2}}{x + 2}$
65365	Find the Second Derivative	y=(4+1/x)^3	$y = {(4 + \frac{1}{x})}^{3}$
65366	Find the Second Derivative	y=(4x^3)/3-2x	$y = \frac{4 x^{3}}{3} - 2 x$
65367	Find the Second Derivative	y=(4x^3+8)/x	$y = \frac{4 x^{3} + 8}{x}$
65368	Find the Degree	tan(theta)=4/3	$\tan (θ) = \frac{4}{3}$
65369	Write in Exponential Form	log base a of x=y	$\log_{a} (x) = y$
65370	Write in Exponential Form	log base 1 of 1=3	$\log_{1} (1) = 3$
65371	Write in Exponential Form	in^2=y	${in}^{2} = y$
65372	Find the Inflection Points	x^4-12x^3+48x^2-64x	$x^{4} - 12 x^{3} + 48 x^{2} - 64 x$
65373	Find the Inflection Points	x^4-6x^3	$x^{4} - 6 x^{3}$
65374	Find the Inflection Points	x+10/x	$x + \frac{10}{x}$
65375	Find the Inflection Points	x+sin(-x)	$x + \sin (- x)$
65376	Find the Inflection Points	-x^3+3x^2+1	$- x^{3} + 3 x^{2} + 1$
65377	Find the Inflection Points	x^3-2x^2+x	$x^{3} - 2 x^{2} + x$
65378	Find the Inflection Points	x^3-3x^2-1	$x^{3} - 3 x^{2} - 1$
65379	Find the Inflection Points	x^2e^(17x)	$x^{2} e^{17 x}$
65380	Find the Inflection Points	x^2e^(5x)	$x^{2} e^{5 x}$
65381	Find the Inflection Points	x^2e^(8x)	$x^{2} e^{8 x}$
65382	Find the Inflection Points	(x^3)/3-(x^2)/2-2x+1/3	$\frac{x^{3}}{3} - \frac{x^{2}}{2} - 2 x + \frac{1}{3}$
65383	Find the Inflection Points	(x+6)/(x-6)	$\frac{x + 6}{x - 6}$
65384	Find the Inflection Points	(x-3)/(x+4)	$\frac{x - 3}{x + 4}$
65385	Find the Inflection Points	3x^3-36x	$3 x^{3} - 36 x$
65386	Find the Inflection Points	4x^3-48x+4	$4 x^{3} - 48 x + 4$
65387	Expand the Logarithmic Expression	natural log of a cube root of b	$\ln (a \sqrt[3]{b})$
65388	Expand the Logarithmic Expression	natural log of (e^2)/12	$\ln (\frac{e^{2}}{12})$
65389	Expand the Logarithmic Expression	natural log of (3 square root of 2)/( cube root of 5)	$\ln (\frac{3 \sqrt{2}}{\sqrt[3]{5}})$
65390	Expand the Logarithmic Expression	natural log of (7 square root of 2)/( cube root of 5)	$\ln (\frac{7 \sqrt{2}}{\sqrt[3]{5}})$
65391	Expand the Logarithmic Expression	log base 9 of 5k	$\log_{9} (5 k)$
65392	Add	square root of 4-x+ square root of x^2-9	$\sqrt{4 - x} + \sqrt{x^{2} - 9}$
65393	Add	square root of 5-x+ square root of x^2-4	$\sqrt{5 - x} + \sqrt{x^{2} - 4}$
65394	Find the Local Maxima and Minima	f(x)=2x^2+4x+5	$f (x) = 2 x^{2} + 4 x + 5$
65395	Find the Local Maxima and Minima	f(x)=2x^2-3x+1	$f (x) = 2 x^{2} - 3 x + 1$
65396	Find the Local Maxima and Minima	f(x)=2x^3-39x^2+180x-6	$f (x) = 2 x^{3} - 39 x^{2} + 180 x - 6$
65397	Find the Local Maxima and Minima	f(x)=-3x^2+18x+16	$f (x) = - 3 x^{2} + 18 x + 16$
65398	Find the Local Maxima and Minima	f(x)=3x^2-3	$f (x) = 3 x^{2} - 3$
65399	Find the Local Maxima and Minima	f(x)=3x^3-36x+3	$f (x) = 3 x^{3} - 36 x + 3$
65400	Find the Local Maxima and Minima	f(x)=(x-5)(x-10)^2	$f (x) = (x - 5) {(x - 10)}^{2}$