Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
43901	Find the Inflection Points	y=2x^3+3x^2-12x+5	$y = 2 x^{3} + 3 x^{2} - 12 x + 5$
43902	Find the Local Maxima and Minima	f(x)=12x^4-72x^2	$f (x) = 12 x^{4} - 72 x^{2}$
43903	Find the Inflection Points	x/(4x^2-1)	$\frac{x}{4 x^{2} - 1}$
43904	Find the Inflection Points	x square root of x+18	$x \sqrt{x + 18}$
43905	Find the Local Maxima and Minima	f(x)=8x^3-16x^2+8x+9	$f (x) = 8 x^{3} - 16 x^{2} + 8 x + 9$
43906	Divide	-9/3	$- \frac{9}{3}$
43907	Divide	-4/2	$- \frac{4}{2}$
43908	Divide	49/7	$\frac{49}{7}$
43909	Divide	32÷2	$32 \div 2$
43910	Divide	48/2	$\frac{48}{2}$
43911	Divide	250/3	$\frac{250}{3}$
43912	Divide	52/4	$\frac{52}{4}$
43913	Convert to a Mixed Number	4.5	$4.5$
43914	Evaluate from the Right	limit as x approaches 3 from the right of natural log of x-3	$lim_{x \to 3} \ln (x - 3)$
43915	Solve by Factoring	-6x^2+17x+3=0	$- 6 x^{2} + 17 x + 3 = 0$
43916	Find Where Increasing/Decreasing Using Derivatives	f(x)=5x^4+3x^3	$f (x) = 5 x^{4} + 3 x^{3}$
43917	Find Where Increasing/Decreasing Using Derivatives	f(x)=x-cos(x)	$f (x) = x - \cos (x)$
43918	Evaluate the Summation	sum from n=1 to 24 of 5n-7	$\sum_{n = 1}^{24} 5 n - 7$
43919	Evaluate the Summation	sum from k=0 to 1 of 2k-1	$\sum_{k = 0}^{1} 2 k - 1$
43920	Evaluate the Summation	sum from n=1 to 6 of n/(2n+1)	$\sum_{n = 1}^{6} \frac{n}{2 n + 1}$
43921	Find the Value Using the Unit Circle	tan(h(1))	$\tanh (1)$
43922	Find dx/dy at (0,p/12)	cos(6y)=x ; (0,pi/12)	$\cos (6 y) = x$ ; $(0, \frac{π}{12})$
43923	Find dx/dy at (1,1)	y^3=x ; (1,1)	$y^{3} = x$ ; $(1, 1)$
43924	Find the Inflection Points	f(x)=x square root of x+21	$f (x) = x \sqrt{x + 21}$
43925	Find the Tangent Line at the Point	sin(sin(x)) , (2pi,0)	$\sin (\sin (x))$ , $(2 π, 0)$
43926	Find the Tangent Line at the Point	9x^2+xy+9y^2=19 , (1,1)	$9 x^{2} + x y + 9 y^{2} = 19$ , $(1, 1)$
43927	Find Where Increasing/Decreasing Using Derivatives	1/4x^4-1/3x^3-6x^2	$\frac{1}{4} x^{4} - \frac{1}{3} x^{3} - 6 x^{2}$
43928	Convert to Rectangular	r=2sin(theta)	$r = 2 \sin (θ)$
43929	Find the Third Derivative	f(x)=4x^3+7/(x^3)	$f (x) = 4 x^{3} + \frac{7}{x^{3}}$
43930	Find the Area Between the Curves	6x+y^2=7 x=y	$6 x + y^{2} = 7$ $x = y$
43931	Find the Linearization at a=25	f(x) = square root of x , a=25	$f (x) = \sqrt{x}$ , $a = 25$
43932	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of xsin(pi/x)	$lim_{x \to \infty} x \sin (\frac{π}{x})$
43933	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of (( natural log of 6x)^2)/(( natural log of 2x)^2)	$lim_{x \to \infty} \frac{\ln^{2} (6 x)}{\ln^{2} (2 x)}$
43934	Find the Antiderivative	cos(x)^4sin(x)	$\cos^{4} (x) \sin (x)$
43935	Find the Antiderivative	square root of tan(x)	$\sqrt{\tan (x)}$
43936	Find the Antiderivative	(x-x^2)/(2 cube root of x)	$\frac{x - x^{2}}{2 \sqrt[3]{x}}$
43937	Find the Antiderivative	(x^2+1)	$(x^{2} + 1)$
43938	Find the Antiderivative	cos(x)-sin(x)	$\cos (x) - \sin (x)$
43939	Find the Antiderivative	8cos(x)	$8 \cos (x)$
43940	Find the Antiderivative	2sec(x)tan(x)	$2 \sec (x) \tan (x)$
43941	Find the Antiderivative	-2sin(x)	$- 2 \sin (x)$
43942	Find the Local Maxima and Minima	(x^2+9)(81-x^2)	$(x^{2} + 9) (81 - x^{2})$
43943	Find the Local Maxima and Minima	x square root of 256-x^2	$x \sqrt{256 - x^{2}}$
43944	Find the Local Maxima and Minima	2x^3-4x^2+2x-1	$2 x^{3} - 4 x^{2} + 2 x - 1$
43945	Find the Asymptotes	(10x)/(x^2-100)	$\frac{10 x}{x^{2} - 100}$
43946	Find the Asymptotes	2/(x-7)	$\frac{2}{x - 7}$
43947	Convert to Logarithmic Form	y=x^(7x)	$y = x^{7 x}$
43948	Find the Concavity	8x^2-8sin(2x)	$8 x^{2} - 8 \sin (2 x)$
43949	Find the Average Rate of Change	y=2x^2 ; [0,4]	$y = 2 x^{2}$ ; $[0, 4]$
43950	Find the Concavity	(x+4)/(x^2-16)	$\frac{x + 4}{x^{2} - 16}$
43951	Find the Second Derivative	13xsin(x)	$13 x \sin (x)$
43952	Find the Second Derivative	2sin(x)cos(x)	$2 \sin (x) \cos (x)$
43953	Find the Second Derivative	5sin(x)cos(x)	$5 \sin (x) \cos (x)$
43954	Find the Third Derivative	cos(3t)	$\cos (3 t)$
43955	Find the Third Derivative	-(cos(x))	$- (\cos (x))$
43956	Find the Second Derivative	(1000e^(0.12t))/(19+e^(0.12t))	$\frac{1000 e^{0.12 t}}{19 + e^{0.12 t}}$
43957	Find the Second Derivative	1/20x^5	$\frac{1}{20} x^{5}$
43958	Find the Second Derivative	9sec(x)	$9 \sec (x)$
43959	Find the Second Derivative	cos(3t)	$\cos (3 t)$
43960	Convert to Rectangular	x=sin(1/2theta) , y=cos(1/2theta)	$x = \sin (\frac{1}{2} θ)$ , $y = \cos (\frac{1}{2} θ)$
43961	Find the Derivative Using Quotient Rule - d/dx	-x/(7y)	$- \frac{x}{7 y}$
43962	Find the Derivative Using Quotient Rule - d/dy	-x/(7y)	$- \frac{x}{7 y}$
43963	Find the Critical Points	f(x)=x^3-6x^2+35	$f (x) = x^{3} - 6 x^{2} + 35$
43964	Find the Critical Points	g(x)=x^5-5x^3	$g (x) = x^{5} - 5 x^{3}$
43965	Find the Critical Points	f(x)=2x^3+6x+1	$f (x) = 2 x^{3} + 6 x + 1$
43966	Find the Critical Points	f(x)=x^3-75x	$f (x) = x^{3} - 75 x$
43967	Find the Critical Points	f(x)=4x^2-6x	$f (x) = 4 x^{2} - 6 x$
43968	Find the Critical Points	f(x)=x/2+cos(x)	$f (x) = \frac{x}{2} + \cos (x)$
43969	Find the Domain	f(x)=x/(1- natural log of x-2)	$f (x) = \frac{x}{1 - \ln (x - 2)}$
43970	Evaluate Using the Squeeze Theorem	limit as x approaches infinity of square root of 9x^2+x-3x	$lim_{x \to \infty} \sqrt{9 x^{2} + x} - 3 x$
43971	Find the Absolute Max and Min over the Interval	f(x)=x^3-3x ; [-4,1]	$f (x) = x^{3} - 3 x$ ; $[- 4, 1]$
43972	Find the Absolute Max and Min over the Interval	f(x)=(4x)/(x^2+1) , [-4,0]	$f (x) = \frac{4 x}{x^{2} + 1}$ , $[- 4, 0]$
43973	Find the Concavity	f(x)=(x+7)/(x^2-49)	$f (x) = \frac{x + 7}{x^{2} - 49}$
43974	Find the Derivative of the Integral	y=cos( square root of sin(tan(5x)))	$y = \cos (\sqrt{\sin (\tan (5 x))})$
43975	Use the Limit Definition to Find the Derivative	f(x)=x^2-5x-4	$f (x) = x^{2} - 5 x - 4$
43976	Find the Integral	sec(theta)^2	$\sec^{2} (θ)$
43977	Find the Integral	u^-1	$u^{- 1}$
43978	Multiply	32*8	$32 \cdot 8$
43979	Find the Critical Points	x^(3/4)-3x^(1/4)	$x^{\frac{3}{4}} - 3 x^{\frac{1}{4}}$
43980	Find the Critical Points	8x^3-12x^2-48x	$8 x^{3} - 12 x^{2} - 48 x$
43981	Find the Critical Points	3x^4-24x^3+48x^2	$3 x^{4} - 24 x^{3} + 48 x^{2}$
43982	Find the Critical Points	3x^4-28x^3+60x^2	$3 x^{4} - 28 x^{3} + 60 x^{2}$
43983	Find the Critical Points	x^6(x-4)^5	$x^{6} {(x - 4)}^{5}$
43984	Find the Maximum/Minimum Value	x^2+6x+14	$x^{2} + 6 x + 14$
43985	Find the Maximum/Minimum Value	5+6x-8x^3	$5 + 6 x - 8 x^{3}$
43986	Find the Asymptotes	f(x)=(x+2)/(x^2+10x+16)	$f (x) = \frac{x + 2}{x^{2} + 10 x + 16}$
43987	Find the Asymptotes	f(x)=(x+3)/(x^3-11x^2+24x)	$f (x) = \frac{x + 3}{x^{3} - 11 x^{2} + 24 x}$
43988	Find the Asymptotes	f(x)=(6x)/(x^3-5x^2)	$f (x) = \frac{6 x}{x^{3} - 5 x^{2}}$
43989	Find the Asymptotes	f(x)=(4x+3)/(2x^2)	$f (x) = \frac{4 x + 3}{2 x^{2}}$
43990	Find the Asymptotes	y=(2e^x)/(e^x-5)	$y = \frac{2 e^{x}}{e^{x} - 5}$
43991	Find the Local Maxima and Minima	4x^3-3x^2-18x+17	$4 x^{3} - 3 x^{2} - 18 x + 17$
43992	Find the Local Maxima and Minima	x^4-4x+1	$x^{4} - 4 x + 1$
43993	Find the Local Maxima and Minima	3x^4-2x^3	$3 x^{4} - 2 x^{3}$
43994	Find the Local Maxima and Minima	x square root of 49-x^2	$x \sqrt{49 - x^{2}}$
43995	Find the Local Maxima and Minima	5x^3+15x-4	$5 x^{3} + 15 x - 4$
43996	Find the Local Maxima and Minima	14x^4-84x^2	$14 x^{4} - 84 x^{2}$
43997	Find the Local Maxima and Minima	cube root of x-4	$\sqrt[3]{x - 4}$
43998	Find the Local Maxima and Minima	-x^3+6x^2-16	$- x^{3} + 6 x^{2} - 16$
43999	Find the Local Maxima and Minima	6x^3-12x^2+6x+4	$6 x^{3} - 12 x^{2} + 6 x + 4$
44000	Find the Inflection Points	-1/2x^4-6x^3-27x^2	$- \frac{1}{2} x^{4} - 6 x^{3} - 27 x^{2}$