Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
54301	Expand the Logarithmic Expression	log base 8 of (8p)/(11k)	$\log_{8} (\frac{8 p}{11 k})$
54302	Expand the Logarithmic Expression	natural log of 7/x	$\ln (\frac{7}{x})$
54303	Expand the Logarithmic Expression	log base 3 of 5*11	$\log_{3} (5 \cdot 11)$
54304	Expand the Logarithmic Expression	log base 2 of square root of 16xy	$\log_{2} (\sqrt{16 x y})$
54305	Expand the Logarithmic Expression	log of (3x^2y^3)^4	$\log ({(3 x^{2} y^{3})}^{4})$
54306	Expand the Logarithmic Expression	natural log of x/( square root of x^6y^4)	$\ln (\frac{x}{\sqrt{x^{6} y^{4}}})$
54307	Expand the Logarithmic Expression	natural log of square root of 5t^9v^2	$\ln (\sqrt{5 t^{9} v^{2}})$
54308	Expand the Logarithmic Expression	natural log of 13x^6y	$\ln (13 x^{6} y)$
54309	Expand the Logarithmic Expression	log base 5 of (5p)/(9k)	$\log_{5} (\frac{5 p}{9 k})$
54310	Find the Local Maxima and Minima	f(x)=(x+1)/(x^2-7x-8)	$f (x) = \frac{x + 1}{x^{2} - 7 x - 8}$
54311	Find the Local Maxima and Minima	f(x)=-20/(x^2+4)	$f (x) = \frac{- 20}{x^{2} + 4}$
54312	Find the Local Maxima and Minima	f(x)=9+6x^2-4x^3	$f (x) = 9 + 6 x^{2} - 4 x^{3}$
54313	Find the Local Maxima and Minima	f(x)=(-8x)/((x^2-4)^2)	$f (x) = \frac{- 8 x}{{(x^{2} - 4)}^{2}}$
54314	Find the Local Maxima and Minima	f(x)=x+ cube root of 2-x^3	$f (x) = x + \sqrt[3]{2 - x^{3}}$
54315	Find the Local Maxima and Minima	f(x)=3x^4-36x^3	$f (x) = 3 x^{4} - 36 x^{3}$
54316	Find the Local Maxima and Minima	f(x)=1/3x^3-4x^2+11x	$f (x) = \frac{1}{3} x^{3} - 4 x^{2} + 11 x$
54317	Find the Local Maxima and Minima	f(x)=x^2+160/x	$f (x) = x^{2} + \frac{160}{x}$
54318	Find the Local Maxima and Minima	p(x)=68+310/x-0.02x	$p (x) = 68 + \frac{310}{x} - 0.02 x$
54319	Find the Local Maxima and Minima	t(t)=-0.3t^2+2.4t+98.3	$t (t) = - 0.3 t^{2} + 2.4 t + 98.3$
54320	Find the Local Maxima and Minima	f(x)=x^3-3x^2+45x+5	$f (x) = x^{3} - 3 x^{2} + 45 x + 5$
54321	Find the Local Maxima and Minima	f(x)=0.6x^5-16x^3	$f (x) = 0.6 x^{5} - 16 x^{3}$
54322	Find the Local Maxima and Minima	f(x)=(6x)/(x^2+36)	$f (x) = \frac{6 x}{x^{2} + 36}$
54323	Find the Local Maxima and Minima	f(x)=-2x^3+45x^2-300x	$f (x) = - 2 x^{3} + 45 x^{2} - 300 x$
54324	Find the Local Maxima and Minima	f(x)=(49x^2+36)/x	$f (x) = \frac{49 x^{2} + 36}{x}$
54325	Find the Local Maxima and Minima	f(x)=(4e^x)/(x^5)	$f (x) = \frac{4 e^{x}}{x^{5}}$
54326	Find the Local Maxima and Minima	f(x)=2x^3-42x^2+270x	$f (x) = 2 x^{3} - 42 x^{2} + 270 x$
54327	Find the Local Maxima and Minima	f(x)=6cos(x)+3sin(2x)	$f (x) = 6 \cos (x) + 3 \sin (2 x)$
54328	Find the Local Maxima and Minima	f(x)=x^3+8x^2+16x-1	$f (x) = x^{3} + 8 x^{2} + 16 x - 1$
54329	Find the Local Maxima and Minima	f(x)=x^4-8x^4	$f (x) = x^{4} - 8 x^{4}$
54330	Find the Local Maxima and Minima	f(x)=3x^2-48	$f (x) = 3 x^{2} - 48$
54331	Find the Local Maxima and Minima	f(x)=4x^3-6x^2-24x+1	$f (x) = 4 x^{3} - 6 x^{2} - 24 x + 1$
54332	Find the Local Maxima and Minima	f(x)=sin(pix)	$f (x) = \sin (π x)$
54333	Find the Local Maxima and Minima	f(x)=6x^3-48x^2+30x+5	$f (x) = 6 x^{3} - 48 x^{2} + 30 x + 5$
54334	Find the Local Maxima and Minima	f(x)=e^t-t	$f (x) = e^{t} - t$
54335	Find the Local Maxima and Minima	f(x)=-4x^3-24x^2+60x+36	$f (x) = - 4 x^{3} - 24 x^{2} + 60 x + 36$
54336	Find the Local Maxima and Minima	f(x)=3-7x^2	$f (x) = 3 - 7 x^{2}$
54337	Find the Local Maxima and Minima	f(x)=\|1/3x^3-9\|	$f (x) = \| \frac{1}{3} x^{3} - 9 \|$
54338	Find the Local Maxima and Minima	f(x)=(x^2-12x+36)/(x-10)	$f (x) = \frac{x^{2} - 12 x + 36}{x - 10}$
54339	Find the Local Maxima and Minima	f(x)=4x^6-7x^5	$f (x) = 4 x^{6} - 7 x^{5}$
54340	Find the Local Maxima and Minima	f(x)=4x^3+13x^2-10x+8	$f (x) = 4 x^{3} + 13 x^{2} - 10 x + 8$
54341	Find the Local Maxima and Minima	g(x)=- square root of x^2-2x+17	$g (x) = - \sqrt{x^{2} - 2 x + 17}$
54342	Find the Local Maxima and Minima	f(x)=2x^3-21x^2+60x+3	$f (x) = 2 x^{3} - 21 x^{2} + 60 x + 3$
54343	Find the Local Maxima and Minima	f(x)=-2x^3+27x^2-108x+10	$f (x) = - 2 x^{3} + 27 x^{2} - 108 x + 10$
54344	Find the Local Maxima and Minima	f(x)=2x+1+18/x	$f (x) = 2 x + 1 + \frac{18}{x}$
54345	Find the Local Maxima and Minima	f(x)=x^5-5x+6	$f (x) = x^{5} - 5 x + 6$
54346	Find the Local Maxima and Minima	g(x)=7x^2-28 square root of x	$g (x) = 7 x^{2} - 28 \sqrt{x}$
54347	Find the Local Maxima and Minima	f(x)=(100x^2+81)/x	$f (x) = \frac{100 x^{2} + 81}{x}$
54348	Find the Local Maxima and Minima	f(x)=5x^3-60x	$f (x) = 5 x^{3} - 60 x$
54349	Find the Local Maxima and Minima	f(x)=2x^3-6x^2-90x	$f (x) = 2 x^{3} - 6 x^{2} - 90 x$
54350	Find the Local Maxima and Minima	f(x)=-2x^(3/2)+9x+15	$f (x) = - 2 x^{\frac{3}{2}} + 9 x + 15$
54351	Find the Local Maxima and Minima	f(x)=(9x^2+64)/x	$f (x) = \frac{9 x^{2} + 64}{x}$
54352	Find the Local Maxima and Minima	f(x)=4x^2-1	$f (x) = 4 x^{2} - 1$
54353	Find the Local Maxima and Minima	f(x)=x^4-98x^2+2	$f (x) = x^{4} - 98 x^{2} + 2$
54354	Find the Local Maxima and Minima	f(x)=\|x^2-100\|	$f (x) = \| x^{2} - 100 \|$
54355	Find the Local Maxima and Minima	f(x)=x^3-48x+5	$f (x) = x^{3} - 48 x + 5$
54356	Find the Local Maxima and Minima	f(x)=x^5-5x+7	$f (x) = x^{5} - 5 x + 7$
54357	Find the Local Maxima and Minima	f(x)=3x square root of x-x^2	$f (x) = 3 x \sqrt{x - x^{2}}$
54358	Find the Local Maxima and Minima	f(x)=\|8-x^2\|	$f (x) = \| 8 - x^{2} \|$
54359	Find the Local Maxima and Minima	f(x)=8+3x^2	$f (x) = 8 + 3 x^{2}$
54360	Find the Local Maxima and Minima	f(x)=10cos(x)+5sin(2x)	$f (x) = 10 \cos (x) + 5 \sin (2 x)$
54361	Find the Local Maxima and Minima	f(x)=2x^3+3x^2-120x+5	$f (x) = 2 x^{3} + 3 x^{2} - 120 x + 5$
54362	Find the Local Maxima and Minima	g(x)=-(8x)/(x^2+4)	$g (x) = - \frac{8 x}{x^{2} + 4}$
54363	Find the Local Maxima and Minima	f(x)=6x square root of 2-x	$f (x) = 6 x \sqrt{2 - x}$
54364	Find the Local Maxima and Minima	f(x) = cube root of \|4-x^2\|+2	$f (x) = \sqrt[3]{\| 4 - x^{2} \|} + 2$
54365	Find the Local Maxima and Minima	f(x)=-5+x-x^2	$f (x) = - 5 + x - x^{2}$
54366	Find the Local Maxima and Minima	f(x)=4x^3+24x^2	$f (x) = 4 x^{3} + 24 x^{2}$
54367	Find the Local Maxima and Minima	f(x)=x^3-7x^2-24x+8	$f (x) = x^{3} - 7 x^{2} - 24 x + 8$
54368	Find the Local Maxima and Minima	f(x)=3x+6	$f (x) = 3 x + 6$
54369	Find the Local Maxima and Minima	f(x)=-2(x^3+3x^2-9x+1)	$f (x) = - 2 (x^{3} + 3 x^{2} - 9 x + 1)$
54370	Find the Local Maxima and Minima	f(x)=-x^3+3x-11	$f (x) = - x^{3} + 3 x - 11$
54371	Find the Local Maxima and Minima	f(x)=10-20/(4x^2-52x+179)	$f (x) = 10 - \frac{20}{4 x^{2} - 52 x + 179}$
54372	Find the Local Maxima and Minima	f(x)=x^2-x+5	$f (x) = x^{2} - x + 5$
54373	Find the Local Maxima and Minima	f(x)=14x+17x^(14/17)	$f (x) = 14 x + 17 x^{\frac{14}{17}}$
54374	Find the Local Maxima and Minima	f(x)=x^3-27x+50	$f (x) = x^{3} - 27 x + 50$
54375	Find the Local Maxima and Minima	g(x)=x^3-0.9x+2	$g (x) = x^{3} - 0.9 x + 2$
54376	Find the Local Maxima and Minima	f(x)=3x^5-4x^3-3x	$f (x) = 3 x^{5} - 4 x^{3} - 3 x$
54377	Find the Local Maxima and Minima	f(x)=x^(1/3)(x-2)^2	$f (x) = x^{\frac{1}{3}} {(x - 2)}^{2}$
54378	Find the Local Maxima and Minima	f(x)=3x^(2/11)-x^(3/11)	$f (x) = 3 x^{\frac{2}{11}} - x^{\frac{3}{11}}$
54379	Find the Local Maxima and Minima	f(x)=-2x^3+30x^2-144x+6	$f (x) = - 2 x^{3} + 30 x^{2} - 144 x + 6$
54380	Find the Local Maxima and Minima	f(x)=-10x^2-200x+9	$f (x) = - 10 x^{2} - 200 x + 9$
54381	Find the Local Maxima and Minima	h(t)=-t^2+10t+10	$h (t) = - t^{2} + 10 t + 10$
54382	Find the Local Maxima and Minima	f(x)=x^2(2-3x)^3	$f (x) = x^{2} {(2 - 3 x)}^{3}$
54383	Find the Local Maxima and Minima	f(x)=2+2x-2x^2	$f (x) = 2 + 2 x - 2 x^{2}$
54384	Find the Local Maxima and Minima	f(x)=1/4x^4+x^3-3/2x^2-x+4	$f (x) = \frac{1}{4} x^{4} + x^{3} - \frac{3}{2} x^{2} - x + 4$
54385	Find the Local Maxima and Minima	f(x)=-7x^3+21x+4	$f (x) = - 7 x^{3} + 21 x + 4$
54386	Find the Local Maxima and Minima	f(x)=4-7x^4	$f (x) = 4 - 7 x^{4}$
54387	Find the Local Maxima and Minima	f(x)=3x^4+5x^3-4x^2-5x-2	$f (x) = 3 x^{4} + 5 x^{3} - 4 x^{2} - 5 x - 2$
54388	Find the Tangent at a Given Point Using the Limit Definition	(x^2+y^2)^2=4x^2y , (-1,1)	${(x^{2} + y^{2})}^{2} = 4 x^{2} y$ , $(- 1, 1)$
54389	Solve by Factoring	3x^2-8x-6=0	$3 x^{2} - 8 x - 6 = 0$
54390	Solve by Factoring	6x^2+84x+288=0	$6 x^{2} + 84 x + 288 = 0$
54391	Solve by Factoring	3x^2-14x-24=0	$3 x^{2} - 14 x - 24 = 0$
54392	Solve by Factoring	24x^2-36x-24=0	$24 x^{2} - 36 x - 24 = 0$
54393	Solve by Factoring	3x^2-4x=0	$3 x^{2} - 4 x = 0$
54394	Solve by Factoring	6x^2+72x+210=0	$6 x^{2} + 72 x + 210 = 0$
54395	Convert to a Simplified Fraction	1.666	$1.666$
54396	Write in Standard Form	7/(9-i)	$\frac{7}{9 - i}$
54397	Write in Standard Form	i^i	$i^{i}$
54398	Write in Standard Form	2*10^-9	$2 \cdot 10^{- 9}$
54399	Convert to Regular Notation	8.99*10^9	$8.99 \cdot 10^{9}$
54400	Convert to Regular Notation	1.21*10^6	$1.21 \cdot 10^{6}$