Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
44401	Find the Critical Points	x^2-22x+6	$x^{2} - 22 x + 6$
44402	Find the Critical Points	3x^3e^(-x)	$3 x^{3} e^{- x}$
44403	Find the Critical Points	4x^3-48x-9	$4 x^{3} - 48 x - 9$
44404	Find the Critical Points	f(x)=x^4-32x+2	$f (x) = x^{4} - 32 x + 2$
44405	Find the Critical Points	f(x)=(x-1)^(4/3)	$f (x) = {(x - 1)}^{\frac{4}{3}}$
44406	Find the Critical Points	f(x)=x^3+10x^2+25x-50	$f (x) = x^{3} + 10 x^{2} + 25 x - 50$
44407	Find the Critical Points	f(x)=12x-3x^2	$f (x) = 12 x - 3 x^{2}$
44408	Find the Critical Points	f(x)=36x-2x^2	$f (x) = 36 x - 2 x^{2}$
44409	Find the Critical Points	f(x)=x^2-22x+6	$f (x) = x^{2} - 22 x + 6$
44410	Find the Critical Points	f(x)=5x^3+15x-2	$f (x) = 5 x^{3} + 15 x - 2$
44411	Write in y=mx+b Form	y-9=1/18(x-81)	$y - 9 = \frac{1}{18} (x - 81)$
44412	Write in y=mx+b Form	y-6=5/6(x-5)	$y - 6 = \frac{5}{6} (x - 5)$
44413	Find Where Increasing/Decreasing	f(x)=9cos(x)^2	$f (x) = 9 \cos^{2} (x)$
44414	Find Where Increasing/Decreasing	f(x)=3cos(x)^2	$f (x) = 3 \cos^{2} (x)$
44415	Find Where Increasing/Decreasing	f(x)=x^2-10x+24	$f (x) = x^{2} - 10 x + 24$
44416	Find Where Increasing/Decreasing	g(x)=x^2-2x-24	$g (x) = x^{2} - 2 x - 24$
44417	Find the Derivative Using Quotient Rule - d/d@VAR	f(t)=(cos(t))/(t^7)	$f (t) = \frac{\cos (t)}{t^{7}}$
44418	Find the Derivative Using Quotient Rule - d/dr	(d^2)/(dr^2)(pir^2)	$\frac{d^{2}}{d r^{2}} (π r^{2})$
44419	Find the Derivative Using Quotient Rule - d/dd	d/(dx)(cot(x))=-csc(x)^2	$\frac{d}{d x} (\cot (x)) = - \csc^{2} (x)$
44420	Find the Domain and Range	g(t)=(1-5t)/(2+t)	$g (t) = \frac{1 - 5 t}{2 + t}$
44421	Find the Derivative of the Integral	d/(dx) integral from 0 to x of cos(2piu) with respect to u	$\frac{d}{d x} \int_{0}^{x} \cos (2 π u) d u$
44422	Find the Concavity	f(x)=-3x^4+20x^3-24x^2	$f (x) = - 3 x^{4} + 20 x^{3} - 24 x^{2}$
44423	Find the Concavity	f(x)=sin(x)+cos(x)	$f (x) = \sin (x) + \cos (x)$
44424	Find the Absolute Max and Min over the Interval	f(x)=6x^4-8x^3-24x^2+1 , [-2,3]	$f (x) = 6 x^{4} - 8 x^{3} - 24 x^{2} + 1$ , $[- 2, 3]$
44425	Find the Absolute Max and Min over the Interval	f(t)=t square root of 25-t^2 , [-1,5]	$f (t) = t \sqrt{25 - t^{2}}$ , $[- 1, 5]$
44426	Find the Inflection Points	y=5-4x-x^3	$y = 5 - 4 x - x^{3}$
44427	Divide	3÷4	$3 \div 4$
44428	Divide	90/6	$\frac{90}{6}$
44429	Divide	23÷2	$23 \div 2$
44430	Divide	55/3	$\frac{55}{3}$
44431	Divide	18÷2	$18 \div 2$
44432	Divide	256/16	$\frac{256}{16}$
44433	Divide	27/4	$\frac{27}{4}$
44434	Divide	70/2	$\frac{70}{2}$
44435	Divide	32/6	$\frac{32}{6}$
44436	Divide	72/3	$\frac{72}{3}$
44437	Divide	76/4	$\frac{76}{4}$
44438	Divide	105/3	$\frac{105}{3}$
44439	Divide	19÷2	$19 \div 2$
44440	Divide	40/3	$\frac{40}{3}$
44441	Divide	72/8	$\frac{72}{8}$
44442	Divide	729/3	$\frac{729}{3}$
44443	Divide	2.5/2	$\frac{2.5}{2}$
44444	Divide	45÷5	$45 \div 5$
44445	Divide	243/3	$\frac{243}{3}$
44446	Divide	150/2	$\frac{150}{2}$
44447	Divide	13/3	$\frac{13}{3}$
44448	Divide	72/12	$\frac{72}{12}$
44449	Divide	(1/2)÷2	$\frac{1}{2} \div 2$
44450	Multiply	24*8	$24 \cdot 8$
44451	Multiply	(x-2)(x-1)	$(x - 2) (x - 1)$
44452	Find Where the Mean Value Theorem is Satisfied	f(x)=2sin(x)+sin(2x) , [0,pi]	$f (x) = 2 \sin (x) + \sin (2 x)$ , $[0, π]$
44453	Find the Maximum/Minimum Value	f(x)=x^2-10x+24	$f (x) = x^{2} - 10 x + 24$
44454	Find the Maximum/Minimum Value	f(x)=-5x^2+4x-2	$f (x) = - 5 x^{2} + 4 x - 2$
44455	Find the Local Maxima and Minima	6x^4-32x^3+48x^2-7	$6 x^{4} - 32 x^{3} + 48 x^{2} - 7$
44456	Find the Local Maxima and Minima	-3x^4+8x^3+18x^2	$- 3 x^{4} + 8 x^{3} + 18 x^{2}$
44457	Find the Local Maxima and Minima	x^2+2x+10	$x^{2} + 2 x + 10$
44458	Find the Local Maxima and Minima	f(x)=x^3-27x+5	$f (x) = x^{3} - 27 x + 5$
44459	Find the Local Maxima and Minima	f(x)=x^3-8x^2	$f (x) = x^{3} - 8 x^{2}$
44460	Find the Inflection Points	-3x^4+16x^3-18x^2	$- 3 x^{4} + 16 x^{3} - 18 x^{2}$
44461	Expand the Logarithmic Expression	natural log of (y(y+2)^5)/(y-1)	$\ln (\frac{y {(y + 2)}^{5}}{y - 1})$
44462	Expand the Logarithmic Expression	natural log of cube root of y-6 , y>6	$\ln (\sqrt[3]{y - 6})$ , $y > 6$
44463	Find the Local Maxima and Minima	f(x)=5x^3+15x+6	$f (x) = 5 x^{3} + 15 x + 6$
44464	Find the Derivative Using Product Rule - d/dx	y=x^6*x^3	$y = x^{6} \cdot x^{3}$
44465	Find the Derivative Using Product Rule - d/dz	(16z^4+4z^2+1)(4z^3-z)	$(16 z^{4} + 4 z^{2} + 1) (4 z^{3} - z)$
44466	Find the Inflection Points	f(x)=3x^2+3sin(2x)	$f (x) = 3 x^{2} + 3 \sin (2 x)$
44467	Find the Inflection Points	f(x)=5-6x^4	$f (x) = 5 - 6 x^{4}$
44468	Find the Inflection Points	f(x)=-1/2x^4-6x^3-27x^2	$f (x) = - \frac{1}{2} x^{4} - 6 x^{3} - 27 x^{2}$
44469	Find Where Increasing/Decreasing Using Derivatives	f(x)=9x^3-18x^2+9x+4	$f (x) = 9 x^{3} - 18 x^{2} + 9 x + 4$
44470	Find Where Increasing/Decreasing Using Derivatives	f(x)=7x^4+4x^3	$f (x) = 7 x^{4} + 4 x^{3}$
44471	Find Where Increasing/Decreasing Using Derivatives	f(x)=(x^2-11)/(x-6)	$f (x) = \frac{x^{2} - 11}{x - 6}$
44472	Find Where Increasing/Decreasing Using Derivatives	f(x)=-2x^3-12x^2-24x-14	$f (x) = - 2 x^{3} - 12 x^{2} - 24 x - 14$
44473	Find Where Increasing/Decreasing Using Derivatives	f(x)=6x^3-12x^2+6x-3	$f (x) = 6 x^{3} - 12 x^{2} + 6 x - 3$
44474	Find Where Increasing/Decreasing Using Derivatives	f(x)=300x-x^3	$f (x) = 300 x - x^{3}$
44475	Evaluate from the Left	limit as x approaches (3pi)/2 of sec(x)	$lim_{x \to \frac{3 π}{2}} \sec (x)$
44476	Find Where Increasing/Decreasing Using Derivatives	f(x)=(x^2+1)/(x^2-1)	$f (x) = \frac{(x^{2} + 1)}{x^{2} - 1}$
44477	Find the Third Derivative	f(x)=sin(x^2)	$f (x) = \sin (x^{2})$
44478	Find the Third Derivative	f(x)=5e^xcos(x)	$f (x) = 5 e^{x} \cos (x)$
44479	Find the Second Derivative	f(x)=3e^(-x^4)	$f (x) = 3 e^{- x^{4}}$
44480	Find the Second Derivative	f(x)=2x^(3/2)-6x^(1/2)	$f (x) = 2 x^{\frac{3}{2}} - 6 x^{\frac{1}{2}}$
44481	Find the Second Derivative	f(x)=5e^(-x)-9e^(-5x)	$f (x) = 5 e^{- x} - 9 e^{- 5 x}$
44482	Find the Second Derivative	f(x)=3x^2+7x+1	$f (x) = 3 x^{2} + 7 x + 1$
44483	Evaluate from the Right	limit as x approaches (3pi)/2 from the right of e^(tan(x))	$lim_{x \to \frac{3 π}{2}} e^{\tan (x)}$
44484	Find the Second Derivative	y=3x natural log of x	$y = 3 x \ln (x)$
44485	Find the Second Derivative	y=6xcos(x^2)	$y = 6 x \cos (x^{2})$
44486	Find the Second Derivative	y=x^(8/9)+4x	$y = x^{\frac{8}{9}} + 4 x$
44487	Find the Second Derivative	y=e^(14x)sin(x)	$y = e^{14 x} \sin (x)$
44488	Find the Second Derivative	8x^2+y^2=2	$8 x^{2} + y^{2} = 2$
44489	Find the Second Derivative	-3x^2+2xy=12	$- 3 x^{2} + 2 x y = 12$
44490	Find the Second Derivative	4x^3+3y^3=5	$4 x^{3} + 3 y^{3} = 5$
44491	Find the Second Derivative	y=7tan(x)	$y = 7 \tan (x)$
44492	Find the Second Derivative	xy+2y^2=7	$x y + 2 y^{2} = 7$
44493	Find the Second Derivative	s=(t^9+2t+4)/(t^2)	$s = \frac{t^{9} + 2 t + 4}{t^{2}}$
44494	Find the Second Derivative	y=e^(-9x^2)	$y = e^{- 9 x^{2}}$
44495	Find the Second Derivative	y=2xsin(x)	$y = 2 x \sin (x)$
44496	Find the Second Derivative	y=x^(6/7)+2x	$y = x^{\frac{6}{7}} + 2 x$
44497	Find the Second Derivative	y=3cos(x)sin(x)	$y = 3 \cos (x) \sin (x)$
44498	Find the Fourth Derivative	y=-2sin(x)	$y = - 2 \sin (x)$
44499	Find the Fourth Derivative	y=(x-5)(x+3)(x+4)	$y = (x - 5) (x + 3) (x + 4)$
44500	Write in Exponential Form	4 = log base 4 of 256	$4 = \log_{4} (256)$