Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
44101	Find the Maximum/Minimum Value	x^2+6x+18	$x^{2} + 6 x + 18$
44102	Multiply	12*16	$12 \cdot 16$
44103	Multiply	2*2x	$2 \cdot 2 x$
44104	Multiply	40*40	$40 \cdot 40$
44105	Multiply	32*32	$32 \cdot 32$
44106	Multiply	30*5	$30 \cdot 5$
44107	Multiply	( square root of x)( square root of x)	$(\sqrt{x}) (\sqrt{x})$
44108	Multiply	-7*3	$- 7 \cdot 3$
44109	Find the Integral	( natural log of x)/x	$\frac{(\ln (x))}{x}$
44110	Find the Integral	1/( square root of y)	$\frac{1}{\sqrt{y}}$
44111	Find the Integral	cos(2theta)	$\cos (2 θ)$
44112	Find the Integral	1/(cos(x))	$\frac{1}{\cos (x)}$
44113	Find the Critical Points	2x^3-3x^2	$2 x^{3} - 3 x^{2}$
44114	Find the Critical Points	cos(x)+2x	$\cos (x) + 2 x$
44115	Find the Critical Points	4cos(x)^2	$4 \cos^{2} (x)$
44116	Find the Maximum/Minimum Value	f(x)=x^2+6x+18	$f (x) = x^{2} + 6 x + 18$
44117	Find the Maximum/Minimum Value	f(x)=x^2+6x+13	$f (x) = x^{2} + 6 x + 13$
44118	Convert from Radians to Degrees	arctan(4)	$\tan^{-1} (4)$
44119	Find the Local Maxima and Minima	f(x,y)=x^2+y^2-xy+10x-2y+5	$f (x, y) = x^{2} + y^{2} - x y + 10 x - 2 y + 5$
44120	Find the Critical Points	y=x^3-3x+7	$y = x^{3} - 3 x + 7$
44121	Find the Derivative Using Product Rule - d/d@VAR	h(s)=(s^(-1/2)+2s)(7-s^-1)	$h (s) = (s^{- \frac{1}{2}} + 2 s) (7 - s^{- 1})$
44122	Find the Local Maxima and Minima	x^3-9x^2+8	$x^{3} - 9 x^{2} + 8$
44123	Find the Local Maxima and Minima	x^3-3x^2+8	$x^{3} - 3 x^{2} + 8$
44124	Find the Local Maxima and Minima	f(x)=-27x^3+9x+5	$f (x) = - 27 x^{3} + 9 x + 5$
44125	Find the Inflection Points	x^6+6x^5	$x^{6} + 6 x^{5}$
44126	Find the Inflection Points	3x^3-36x-6	$3 x^{3} - 36 x - 6$
44127	Find the Local Maxima and Minima	f(x)=36x+25/x	$f (x) = 36 x + \frac{25}{x}$
44128	Convert to a Simplified Fraction	1.71428571	$1.71428571$
44129	Find the Second Derivative	y=e^(8x)sin(x)	$y = e^{8 x} \sin (x)$
44130	Find the Second Derivative	y=(23x^3)/6-8	$y = \frac{23 x^{3}}{6} - 8$
44131	Find the Second Derivative	y=e^(15x)cos(x)	$y = e^{15 x} \cos (x)$
44132	Find the Second Derivative	y=10xsin(x)	$y = 10 x \sin (x)$
44133	Find the Second Derivative	8x^2+y^2=8	$8 x^{2} + y^{2} = 8$
44134	Find the Second Derivative	y=sin(3x)	$y = \sin (3 x)$
44135	Find the Second Derivative	y=5x^4-7x^2+2	$y = 5 x^{4} - 7 x^{2} + 2$
44136	Find the Second Derivative	y=11xsin(x)	$y = 11 x \sin (x)$
44137	Find the Second Derivative	y=6x^5	$y = 6 x^{5}$
44138	Find the Second Derivative	y=6tan(x)	$y = 6 \tan (x)$
44139	Find the Fourth Derivative	y=sin(3x)	$y = \sin (3 x)$
44140	Find the Fourth Derivative	y=6x^5	$y = 6 x^{5}$
44141	Write in Exponential Form	log base 9 of 1/9=-1	$\log_{9} (\frac{1}{9}) = - 1$
44142	Find the Inflection Points	y=(4x)/(x^2-1)	$y = \frac{4 x}{x^{2} - 1}$
44143	Divide	4.5/2	$\frac{4.5}{2}$
44144	Divide	-8/3	$- \frac{8}{3}$
44145	Divide	12/16	$\frac{12}{16}$
44146	Divide	17/(4/7)	$\frac{17}{\frac{4}{7}}$
44147	Divide	144/2	$\frac{144}{2}$
44148	Divide	28/2	$\frac{28}{2}$
44149	Divide	35/5	$\frac{35}{5}$
44150	Convert to a Mixed Number	1.5	$1.5$
44151	Evaluate the Summation	sum from j=1 to 5 of 5j-12	$\sum_{j = 1}^{5} 5 j - 12$
44152	Expand Using Sum/Difference Formulas	tan(165 degrees )	$\tan (165 °)$
44153	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3-108x+7	$f (x) = x^{3} - 108 x + 7$
44154	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3-75x+4	$f (x) = x^{3} - 75 x + 4$
44155	Find Where Increasing/Decreasing Using Derivatives	f(x)=sin(x)cos(x)+9	$f (x) = \sin (x) \cos (x) + 9$
44156	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3-2x^2-5x	$f (x) = x^{3} - 2 x^{2} - 5 x$
44157	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of sin(x)	$lim_{x \to \infty} \sin (x)$
44158	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (1-6x)^(1/x)	$lim_{x \to 0} {(1 - 6 x)}^{\frac{1}{x}}$
44159	Find the Tangent Line at the Point	y=3e^x+x , (0,3)	$y = 3 e^{x} + x$ , $(0, 3)$
44160	Find the Tangent Line at the Point	y=(1+4x)^9 , (0,1)	$y = {(1 + 4 x)}^{9}$ , $(0, 1)$
44161	Find the Tangent Line at the Point	y=x^3-2x+1 , (3,22)	$y = x^{3} - 2 x + 1$ , $(3, 22)$
44162	Find the Tangent Line at the Point	x^2+4y^2=36 , (12,3)	$x^{2} + 4 y^{2} = 36$ , $(12, 3)$
44163	Find the Tangent Line at the Point	y=7e^x+x , (0,7)	$y = 7 e^{x} + x$ , $(0, 7)$
44164	Find the Tangent Line at the Point	y=5x^2-x^3 , (1,4)	$y = 5 x^{2} - x^{3}$ , $(1, 4)$
44165	Find the Tangent Line at the Point	y=5x-2 square root of x , (1,3)	$y = 5 x - 2 \sqrt{x}$ , $(1, 3)$
44166	Find the Antiderivative	(2-x) square root of x	$(2 - x) \sqrt{x}$
44167	Find the Antiderivative	5x^3-4 square root of x+4x+7	$5 x^{3} - 4 \sqrt{x} + 4 x + 7$
44168	Find the Antiderivative	3x^2+3/x+3cos(x)	$3 x^{2} + \frac{3}{x} + 3 \cos (x)$
44169	Find the Antiderivative	-320/(x^6)	$- \frac{320}{x^{6}}$
44170	Find the Antiderivative	cos( square root of x)	$\cos (\sqrt{x})$
44171	Find the Antiderivative	(( natural log of x)^3)/x	$\frac{\ln^{3} (x)}{x}$
44172	Find the Antiderivative	16x^2	$16 x^{2}$
44173	Find the Antiderivative	1/xdx	$\frac{1}{x} d x$
44174	Find the Antiderivative	4x^2-x+5	$4 x^{2} - x + 5$
44175	Find the Antiderivative	sin(x)^2cos(x)	$\sin^{2} (x) \cos (x)$
44176	Convert to a Decimal	square root of 37	$\sqrt{37}$
44177	Find the Inflection Points	f(x)=7(x-2)^(5/3)	$f (x) = 7 {(x - 2)}^{\frac{5}{3}}$
44178	Find the Inflection Points	f(x)=x+6cos(x)	$f (x) = x + 6 \cos (x)$
44179	Split Using Partial Fraction Decomposition	(x^4-2x^3+x^2+2x-1)/(x^2-2x+1)	$\frac{x^{4} - 2 x^{3} + x^{2} + 2 x - 1}{x^{2} - 2 x + 1}$
44180	Find the Second Derivative	f(x)=(x^2-2x-24)/(x+4)	$f (x) = \frac{x^{2} - 2 x - 24}{x + 4}$
44181	Find the Second Derivative	f(x)=(7+6x)e^(-3x)	$f (x) = (7 + 6 x) e^{- 3 x}$
44182	Find the Derivative Using Chain Rule - d/da	cos(a^6+x^6)	$\cos (a^{6} + x^{6})$
44183	Find the Derivative Using Chain Rule - d/dx	y=arcsin(2x+1)	$y = \arcsin (2 x + 1)$
44184	Find the Derivative Using Chain Rule - d/dx	y=sin(7cos(x))	$y = \sin (7 \cos (x))$
44185	Find the Derivative Using Chain Rule - d/dx	y=cos(7x^3)^4	$y = \cos^{4} (7 x^{3})$
44186	Find the Derivative Using Chain Rule - d/dx	y=(6x+7)^11	$y = {(6 x + 7)}^{11}$
44187	Find Where Increasing/Decreasing Using Derivatives	7x+7cos(x)	$7 x + 7 \cos (x)$
44188	Find Where Increasing/Decreasing Using Derivatives	3x^(2/7)-x^(3/7)	$3 x^{\frac{2}{7}} - x^{\frac{3}{7}}$
44189	Convert to Rectangular	r^2cos(2theta)=1	$r^{2} \cos (2 θ) = 1$
44190	Find the Derivative Using Chain Rule - d/dx	y=sin(x^3)	$y = \sin (x^{3})$
44191	Find Where Increasing/Decreasing Using Derivatives	x-2cos(x)	$x - 2 \cos (x)$
44192	Find the Derivative Using Chain Rule - d/dq	q=sin(t/( square root of t+8))	$q = \sin (\frac{t}{\sqrt{t + 8}})$
44193	Find the Derivative Using Chain Rule - d/dv	v=4/3pir^3	$v = \frac{4}{3} π r^{3}$
44194	Find the Tangent Line at (3,-4)	x^2+y^2=25 , (3,-4)	$x^{2} + y^{2} = 25$ , $(3, - 4)$
44195	Find the Tangent Line at (9,3)	y = square root of x , (9,3)	$y = \sqrt{x}$ , $(9, 3)$
44196	Solve Using the Quadratic Formula	3x^2-10x-9=0	$3 x^{2} - 10 x - 9 = 0$
44197	Find the Linearization at a=9	f(x) = square root of x , a=9	$f (x) = \sqrt{x}$ , $a = 9$
44198	Find the Linearization at a=81	f(x)=x^(3/4) , a=81	$f (x) = x^{\frac{3}{4}}$ , $a = 81$
44199	Find the Asymptotes	(2x)/( square root of 4x^2+1)	$\frac{2 x}{\sqrt{4 x^{2} + 1}}$
44200	Find the Difference Quotient	f(x) = square root of 2x+10	$f (x) = \sqrt{2 x + 10}$