Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
45501	Find dy/dx at (9,-1)	(y-3)^2=4(x-5) , (9,-1)	${(y - 3)}^{2} = 4 (x - 5)$ , $(9, - 1)$
45502	Find dy/dx at (0,p/6)	sin(6y)=x ; (0,pi/6)	$\sin (6 y) = x$ ; $(0, \frac{π}{6})$
45503	Find dy/dx at (0,p/2)	sin(2y)=x ; (0,pi/2)	$\sin (2 y) = x$ ; $(0, \frac{π}{2})$
45504	Find dy/dx at (2,-5)	y^2-x^3=17 ; (2,-5)	$y^{2} - x^{3} = 17$ ; $(2, - 5)$
45505	Find the Critical Points	y=3x square root of 16-x^2	$y = 3 x \sqrt{16 - x^{2}}$
45506	Find the Critical Points	y=2cos(x)+cos(x)^2	$y = 2 \cos (x) + \cos^{2} (x)$
45507	Convert to a Decimal	13/10	$\frac{13}{10}$
45508	Write as a Single Interval	(-1,2) union (-4,0)	$(- 1, 2) \cup (- 4, 0)$
45509	Convert to a Decimal	-2/9	$- \frac{2}{9}$
45510	Convert to a Decimal	8/17	$\frac{8}{17}$
45511	Convert to a Decimal	1/27	$\frac{1}{27}$
45512	Convert to a Decimal	pi/5	$\frac{π}{5}$
45513	Convert to a Decimal	square root of 33	$\sqrt{33}$
45514	Expand the Trigonometric Expression	(1-cos(x)^2)^2	${(1 - \cos^{2} (x))}^{2}$
45515	Find the Maximum/Minimum Value	p=73e^(-0.000025x)	$p = 73 e^{- 0.000025 x}$
45516	Find the Maximum/Minimum Value	y=4x^2-16x+11	$y = 4 x^{2} - 16 x + 11$
45517	Find the Local Maxima and Minima	y=4x^3-3x^2	$y = 4 x^{3} - 3 x^{2}$
45518	Find the Local Maxima and Minima	f(x,y)=2x^2+3xy+4y^2+7x+11y	$f (x, y) = 2 x^{2} + 3 x y + 4 y^{2} + 7 x + 11 y$
45519	Find the Sum of the First 5 Terms	7 , 3 , -1 , -5	$7$ , $3$ , $- 1$ , $- 5$
45520	Find the Local Maxima and Minima	f(x)=2x^3-9x^2-24x+7	$f (x) = 2 x^{3} - 9 x^{2} - 24 x + 7$
45521	Find the Local Maxima and Minima	f(x)=27x^3-9x+2	$f (x) = 27 x^{3} - 9 x + 2$
45522	Find the Local Maxima and Minima	g(y)=(y-5)/(y^2-3y+15)	$g (y) = \frac{y - 5}{y^{2} - 3 y + 15}$
45523	Find the Local Maxima and Minima	f(x)=\|6-x^2\|	$f (x) = \| 6 - x^{2} \|$
45524	Find the Local Maxima and Minima	f(x)=8+x^2	$f (x) = 8 + x^{2}$
45525	Find the Local Maxima and Minima	f(x)=x^3-27x+6	$f (x) = x^{3} - 27 x + 6$
45526	Find the Local Maxima and Minima	f(x)=x^4-4x^2-3	$f (x) = x^{4} - 4 x^{2} - 3$
45527	Find the Local Maxima and Minima	f(x)=125x^3-15x+1	$f (x) = 125 x^{3} - 15 x + 1$
45528	Find the Local Maxima and Minima	f(x)=5x^3-10x^2+5x-2	$f (x) = 5 x^{3} - 10 x^{2} + 5 x - 2$
45529	Find the Local Maxima and Minima	f(x)=8x^3-6x+7	$f (x) = 8 x^{3} - 6 x + 7$
45530	Find the Local Maxima and Minima	f(x)=2x^3-9x^2-324x	$f (x) = 2 x^{3} - 9 x^{2} - 324 x$
45531	Find the Inflection Points	2x-4sin(x)	$2 x - 4 \sin (x)$
45532	Find the Inflection Points	(x-2)/(x^2-5x+6)	$\frac{(x - 2)}{x^{2} - 5 x + 6}$
45533	Find the Inflection Points	7 natural log of x^2+1	$7 \ln (x^{2} + 1)$
45534	Find the Inflection Points	2cos(x)+cos(x)^2	$2 \cos (x) + \cos^{2} (x)$
45535	Find the Inflection Points	14x^4-84x^2	$14 x^{4} - 84 x^{2}$
45536	Find the Inflection Points	1/2x^4+x^3-6x^2	$\frac{1}{2} x^{4} + x^{3} - 6 x^{2}$
45537	Find the Inflection Points	18x^4-108x^2	$18 x^{4} - 108 x^{2}$
45538	Find the Inflection Points	x^3-6x^2+26x-36	$x^{3} - 6 x^{2} + 26 x - 36$
45539	Find the Inflection Points	x^3-9x^2	$x^{3} - 9 x^{2}$
45540	Find the Inflection Points	16-12x^2	$16 - 12 x^{2}$
45541	Find the Roots (Zeros)	f(x)=(x^2-12x-108)/(x^2-24x+108)	$f (x) = \frac{x^{2} - 12 x - 108}{x^{2} - 24 x + 108}$
45542	Expand the Logarithmic Expression	natural log of (7(x^2-3)^4e^(5x))/( cube root of x^3-4)	$\ln (\frac{7 {(x^{2} - 3)}^{4} e^{5 x}}{\sqrt[3]{x^{3} - 4}})$
45543	Expand the Logarithmic Expression	natural log of x/( square root of x^2+6)	$\ln (\frac{x}{\sqrt{x^{2} + 6}})$
45544	Expand the Logarithmic Expression	log of (y^7)/(x square root of z^3)	$\log (\frac{y^{7}}{x \sqrt{z^{3}}})$
45545	Find the Tangent Line at the Point	y=8x-x^2 , (1,7)	$y = 8 x - x^{2}$ , $(1, 7)$
45546	Find the Tangent Line at the Point	y=9x-8 square root of x , (1,1)	$y = 9 x - 8 \sqrt{x}$ , $(1, 1)$
45547	Find the Tangent Line at the Point	y=6xsin(x) , (pi/2,3pi)	$y = 6 x \sin (x)$ , $(\frac{π}{2}, 3 π)$
45548	Find the Tangent Line at the Point	y=x-x^7 , (1,0)	$y = x - x^{7}$ , $(1, 0)$
45549	Find the Tangent Line at the Point	y=8e^x+x , (0,8)	$y = 8 e^{x} + x$ , $(0, 8)$
45550	Find the Tangent Line at the Point	x^2+2xy-y^2+x=12 , (3,6)	$x^{2} + 2 x y - y^{2} + x = 12$ , $(3, 6)$
45551	Find the Tangent Line at the Point	y=(e^(2x)-4)^2 , (0,9)	$y = {(e^{2 x} - 4)}^{2}$ , $(0, 9)$
45552	Find the Tangent Line at the Point	x^2+y^2=25 , (-3,4)	$x^{2} + y^{2} = 25$ , $(- 3, 4)$
45553	Find the Tangent Line at the Point	f(x)=3-5x , (-1,8)	$f (x) = 3 - 5 x$ , $(- 1, 8)$
45554	Evaluate Using Summation Formulas	sum from j=1 to 5 of 2j	$\sum_{j = 1}^{5} 2 j$
45555	Find the Area Under the Curve	f(x)=x^2+2x-15 , [-1,6]	$f (x) = x^{2} + 2 x - 15$ , $[- 1, 6]$
45556	Find the Roots (Zeros)	y=6x^2+6x-12	$y = 6 x^{2} + 6 x - 12$
45557	Find the Second Derivative	y=4xsin(x^2)	$y = 4 x \sin (x^{2})$
45558	Find the Second Derivative	y=12xsin(x)	$y = 12 x \sin (x)$
45559	Find the Second Derivative	x^2y^2-4x=3	$x^{2} y^{2} - 4 x = 3$
45560	Find the Second Derivative	y=(4x+5)/(2x-3)	$y = \frac{4 x + 5}{2 x - 3}$
45561	Find the Second Derivative	-x^2+2xy=10	$- x^{2} + 2 x y = 10$
45562	Find the Second Derivative	r=1/(5s^4)-7/(4s^3)	$r = \frac{1}{5 s^{4}} - \frac{7}{4 s^{3}}$
45563	Find the Second Derivative	y=asec(theta)+btan(theta)	$y = a \sec (θ) + b \tan (θ)$
45564	Find the Second Derivative	y=e^(x^4)+7x	$y = e^{x^{4}} + 7 x$
45565	Find the Second Derivative	y=e^(7x)sin(x)	$y = e^{7 x} \sin (x)$
45566	Find the Second Derivative	-3x^2+xy=10	$- 3 x^{2} + x y = 10$
45567	Find the Second Derivative	r=1/(4s^3)-7/(3s^2)	$r = \frac{1}{4 s^{3}} - \frac{7}{3 s^{2}}$
45568	Find the Second Derivative	e^(3y)+x=8y	$e^{3 y} + x = 8 y$
45569	Find the Second Derivative	y=9xcos(x^2)	$y = 9 x \cos (x^{2})$
45570	Find the Second Derivative	y=1/9cot(3x-1)	$y = \frac{1}{9} \cot (3 x - 1)$
45571	Find the Second Derivative	y=e^(7x)cos(x)	$y = e^{7 x} \cos (x)$
45572	Find the Second Derivative	y=xe^(-3x)	$y = x e^{- 3 x}$
45573	Find the Third Derivative	y^2=e^(x^2)+16x	$y^{2} = e^{x^{2}} + 16 x$
45574	Find the Third Derivative	y=2-x-x^3	$y = 2 - x - x^{3}$
45575	Find the Third Derivative	y=(1+5/x)^3	$y = {(1 + \frac{5}{x})}^{3}$
45576	Write in Exponential Form	1 = log base 4 of 4	$1 = \log_{4} (4)$
45577	Write in Exponential Form	log base 25 of 5=1/2	$\log_{25} (5) = \frac{1}{2}$
45578	Find the Fourth Derivative	y=9cos(x)	$y = 9 \cos (x)$
45579	Find the Fourth Derivative	y=6e^xcos(x)	$y = 6 e^{x} \cos (x)$
45580	Find the Second Derivative	e^(2y)+x=6y	$e^{2 y} + x = 6 y$
45581	Find the Second Derivative	2x^2+y^2=5	$2 x^{2} + y^{2} = 5$
45582	Find the Second Derivative	y=9cos(x)	$y = 9 \cos (x)$
45583	Find the Second Derivative	y=2x^5-3x^4	$y = 2 x^{5} - 3 x^{4}$
45584	Find the Second Derivative	y=(x^4)/4+8/9x^3-x^2+2x-8	$y = \frac{x^{4}}{4} + \frac{8}{9} x^{3} - x^{2} + 2 x - 8$
45585	Find the Second Derivative	y=13xsin(x)	$y = 13 x \sin (x)$
45586	Find the Second Derivative	y=e^(15x)sin(x)	$y = e^{15 x} \sin (x)$
45587	Find g(f(x))	f(x)=5x+6 , g(x)=3x^2-4x+8	$f (x) = 5 x + 6$ , $g (x) = 3 x^{2} - 4 x + 8$
45588	Find f(g(x))	f(x)=5x+6 , g(x)=3x^2-4x+8	$f (x) = 5 x + 6$ , $g (x) = 3 x^{2} - 4 x + 8$
45589	Find the Inflection Points	f(x)=x+9cos(x)	$f (x) = x + 9 \cos (x)$
45590	Find the Inflection Points	f(x)=x^2+54/x-2	$f (x) = x^{2} + \frac{54}{x} - 2$
45591	Find the Inflection Points	f(x)=3-4x^4	$f (x) = 3 - 4 x^{4}$
45592	Find the Inflection Points	f(x)=6x-x^3	$f (x) = 6 x - x^{3}$
45593	Find the Inflection Points	f(x)=6sin(x)+6cos(x)	$f (x) = 6 \sin (x) + 6 \cos (x)$
45594	Find the Inflection Points	f(x)=64x^2+128/x+3	$f (x) = 64 x^{2} + \frac{128}{x} + 3$
45595	Find the Inflection Points	f(x)=8-5x^4	$f (x) = 8 - 5 x^{4}$
45596	Find the Inflection Points	f(x)=x^3-6x^2+25x-34	$f (x) = x^{3} - 6 x^{2} + 25 x - 34$
45597	Find the Inflection Points	f(x)=x^3-6x^2+5x+6	$f (x) = x^{3} - 6 x^{2} + 5 x + 6$
45598	Find the Inflection Points	f(x)=x^3-2x^2-4x+7	$f (x) = x^{3} - 2 x^{2} - 4 x + 7$
45599	Find the Asymptotes	y=(8e^x)/(e^x-8)	$y = \frac{8 e^{x}}{e^{x} - 8}$
45600	Find the Asymptotes	16x^2-9y^2=144	$16 x^{2} - 9 y^{2} = 144$