Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
61501	Find the Function	f'(x)=4x-5	$f' (x) = 4 x - 5$
61502	Find the Function	p'(x)=-6000/((3x+50)^2)	$p' (x) = \frac{- 6000}{{(3 x + 50)}^{2}}$
61503	Evaluate Using L'Hospital's Rule	limit as x approaches 1 of ( natural log of x)/(11x-x^2-10)	$lim_{x \to 1} \frac{\ln (x)}{11 x - x^{2} - 10}$
61504	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (7x^2)/(cos(x)-1)	$lim_{x \to 0} \frac{7 x^{2}}{\cos (x) - 1}$
61505	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (7x^2)/( natural log of sec(x))	$lim_{x \to 0} \frac{7 x^{2}}{\ln (\sec (x))}$
61506	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (1+x)^(cot(x))	$lim_{x \to 0} {(1 + x)}^{\cot (x)}$
61507	Evaluate Using L'Hospital's Rule	limit as t approaches 0 of (e^t-1)/(t^7)	$lim_{t \to 0} \frac{e^{t} - 1}{t^{7}}$
61508	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of (1+8/x)^(x/12)	$lim_{x \to \infty} {(1 + \frac{8}{x})}^{\frac{x}{12}}$
61509	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of (x^4)/( natural log of x)	$lim_{x \to \infty} \frac{x^{4}}{\ln (x)}$
61510	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of (x+x^2)/(9-4x^2)	$lim_{x \to \infty} \frac{x + x^{2}}{9 - 4 x^{2}}$
61511	Find the Critical Points	f(x)=-2x^3+24x^2-72x	$f (x) = - 2 x^{3} + 24 x^{2} - 72 x$
61512	Find the Critical Points	f(x)=45x^3-3x^5	$f (x) = 45 x^{3} - 3 x^{5}$
61513	Find the Critical Points	F(x)=3x^5-20x^3	$F (x) = 3 x^{5} - 20 x^{3}$
61514	Find the Critical Points	f(x)=3x^4-16x^3+18x^2	$f (x) = 3 x^{4} - 16 x^{3} + 18 x^{2}$
61515	Find the Critical Points	f(x)=x square root of 100-x^2	$f (x) = x \sqrt{100 - x^{2}}$
61516	Find the Critical Points	f(x)=x square root of 2x+1	$f (x) = x \sqrt{2 x + 1}$
61517	Find the Critical Points	f(x)=x^3-2x^2-15x+10	$f (x) = x^{3} - 2 x^{2} - 15 x + 10$
61518	Find the Critical Points	f(x)=x^3-18x^2+81x	$f (x) = x^{3} - 18 x^{2} + 81 x$
61519	Find the Critical Points	f(x)=x^2 natural log of x	$f (x) = x^{2} \ln (x)$
61520	Find the Critical Points	f(x)=x^2-4x+4	$f (x) = x^{2} - 4 x + 4$
61521	Find the Critical Points	f(x)=x^2-2x+9	$f (x) = x^{2} - 2 x + 9$
61522	Find the Critical Points	f(x)=x^6e^(-7x)	$f (x) = x^{6} e^{- 7 x}$
61523	Find the Critical Points	s(t)=3t^4+12t^3-30t^2	$s (t) = 3 t^{4} + 12 t^{3} - 30 t^{2}$
61524	Find the Domain	g(t)=5/( square root of t)	$g (t) = \frac{5}{\sqrt{t}}$
61525	Find the Domain	g(t)=7/( square root of t)	$g (t) = \frac{7}{\sqrt{t}}$
61526	Find the Domain	g(x) = square root of 8+3x	$g (x) = \sqrt{8 + 3 x}$
61527	Find the Domain	g(x) = square root of 2+9x	$g (x) = \sqrt{2 + 9 x}$
61528	Find the Domain	f(x)=(x+4)/(x^2-36)	$f (x) = \frac{x + 4}{x^{2} - 36}$
61529	Eliminate the Parameter	x=t-3 , y=2/(t+5)	$x = t - 3$ , $y = \frac{2}{t + 5}$
61530	Eliminate the Parameter	x=4t , y=t^2	$x = 4 t$ , $y = t^{2}$
61531	Find the Area Under the Curve	f(x)=50-2x^2 ; [0,8]	$f (x) = 50 - 2 x^{2}$ ; $[0, 8]$
61532	Evaluate Using Summation Formulas	sum from m=1 to 25 of 50-m	$\sum_{m = 1}^{25} 50 - m$
61533	Find the Area Under the Curve	f(x)=12-3x^2 ; [0,4]	$f (x) = 12 - 3 x^{2}$ ; $[0, 4]$
61534	Find the Area Under the Curve	f(x)=2x-12 ; [5,9]	$f (x) = 2 x - 12$ ; $[5, 9]$
61535	Find the Area Under the Curve	f(x)=2x-14 ; [6,10]	$f (x) = 2 x - 14$ ; $[6, 10]$
61536	Find the Area Under the Curve	f(x)=2x-18 ; [8,12]	$f (x) = 2 x - 18$ ; $[8, 12]$
61537	Find the Area Under the Curve	f(x)=x^2+4x , [0,4]	$f (x) = x^{2} + 4 x$ , $[0, 4]$
61538	Find dy/dt	y=t^3	$y = t^{3}$
61539	Find dy/dt	y=t( natural log of 5t)^2	$y = t \ln^{2} (5 t)$
61540	Find dy/dv	y=(5-v^2)/(5+v^2)	$y = \frac{5 - v^{2}}{5 + v^{2}}$
61541	Find dz/dy	z = square root of x^2+y^2	$z = \sqrt{x^{2} + y^{2}}$
61542	Find dy/dt	(dy)/(dt)=49t^6	$\frac{d y}{d t} = 49 t^{6}$
61543	Find dx/dy	ysec(x)=4xtan(y)	$y \sec (x) = 4 x \tan (y)$
61544	Find dx/dy	y=23^x	$y = 23^{x}$
61545	Find dx/dy	y=3^x	$y = 3^{x}$
61546	Find ds/dt	s=t^7tan(t)- square root of t	$s = t^{7} \tan (t) - \sqrt{t}$
61547	Find dx/dt	x=e^t	$x = e^{t}$
61548	Find du/dt	u = cube root of t+6 square root of t^3	$u = \sqrt[3]{t} + 6 \sqrt{t^{3}}$
61549	Find dw/dz	w=6z^2e^z	$w = 6 z^{2} e^{z}$
61550	Find dx/dy	xy=2	$x y = 2$
61551	Find dr/ds	r=1/(4s^3)-5/(3s^2)	$r = \frac{1}{4 s^{3}} - \frac{5}{3 s^{2}}$
61552	Find dq/dr	q = square root of 12r-r^3	$q = \sqrt{12 r - r^{3}}$
61553	Find dq/dt	q=sin(t/( square root of t+9))	$q = \sin (\frac{t}{\sqrt{t + 9}})$
61554	Find the x and y Intercepts	f(x)=12x^(2/3)-8x	$f (x) = 12 x^{\frac{2}{3}} - 8 x$
61555	Find the x and y Intercepts	f(x)=15x^(2/3)-10x	$f (x) = 15 x^{\frac{2}{3}} - 10 x$
61556	Find the x and y Intercepts	f(x)=10x^4-60x^2	$f (x) = 10 x^{4} - 60 x^{2}$
61557	Find the x and y Intercepts	f(x)=x^3-6x^2	$f (x) = x^{3} - 6 x^{2}$
61558	Find the x and y Intercepts	f(x)=x-9x^(1/3)	$f (x) = x - 9 x^{\frac{1}{3}}$
61559	Find the x and y Intercepts	g(x) = log of 2x	$g (x) = \log (2 x)$
61560	Find the x and y Intercepts	f(x)=9x^6-13x^5	$f (x) = 9 x^{6} - 13 x^{5}$
61561	Find the x and y Intercepts	f(x)=6x^2+x^3	$f (x) = 6 x^{2} + x^{3}$
61562	Find the x and y Intercepts	f(x)=6x^4-36x^2	$f (x) = 6 x^{4} - 36 x^{2}$
61563	Find the x and y Intercepts	f(x)=6x^6-11x^5	$f (x) = 6 x^{6} - 11 x^{5}$
61564	Find the Roots (Zeros)	3x^2-2x-2	$3 x^{2} - 2 x - 2$
61565	Find the Roots (Zeros)	3x^2-2x-6	$3 x^{2} - 2 x - 6$
61566	Find the Roots (Zeros)	9x^2-6x-3	$9 x^{2} - 6 x - 3$
61567	Find the Roots (Zeros)	4x^3-12x	$4 x^{3} - 12 x$
61568	Find the Roots (Zeros)	x^2+4x-12	$x^{2} + 4 x - 12$
61569	Find the Roots (Zeros)	x^2+4x-2	$x^{2} + 4 x - 2$
61570	Find the Roots (Zeros)	2x-4	$2 x - 4$
61571	Find the Roots (Zeros)	x^2-x	$x^{2} - x$
61572	Find the Roots (Zeros)	x^2+8x+16	$x^{2} + 8 x + 16$
61573	Find the Roots (Zeros)	x^2+x-12	$x^{2} + x - 12$
61574	Find the Vertices	(y^2)/256-(x^2)/64=1	$\frac{y^{2}}{256} - \frac{x^{2}}{64} = 1$
61575	Find the Vertices	((x+5)^2)/81-((y-3)^2)/144=1	$\frac{{(x + 5)}^{2}}{81} - \frac{{(y - 3)}^{2}}{144} = 1$
61576	Find Where Increasing/Decreasing	f(x)=6/x	$f (x) = \frac{6}{x}$
61577	Find Where Increasing/Decreasing	f(x)=x^2+7x-4	$f (x) = x^{2} + 7 x - 4$
61578	Find Where Increasing/Decreasing	f(x)=-3tan(x)	$f (x) = - 3 \tan (x)$
61579	Find Where Increasing/Decreasing	g(x)=x^2-2x-80	$g (x) = x^{2} - 2 x - 80$
61580	Graph	f(x)=-8x-7	$f (x) = - 8 x - 7$
61581	Find the Domain	fourth root of 4x-8	$\sqrt[4]{4 x - 8}$
61582	Find the Domain	2x(x-3)^3	$2 x {(x - 3)}^{3}$
61583	Find the Local Maxima and Minima	y=x^4-4x^3+4x^2	$y = x^{4} - 4 x^{3} + 4 x^{2}$
61584	Find the Local Maxima and Minima	y=9/11(x^2-25)^(2/3)	$y = \frac{9}{11} {(x^{2} - 25)}^{\frac{2}{3}}$
61585	Find the Local Maxima and Minima	y=3/7(x^2-9)^(2/3)	$y = \frac{3}{7} {(x^{2} - 9)}^{\frac{2}{3}}$
61586	Find the Local Maxima and Minima	f(x,y)=x^3+y^3-36xy	$f (x, y) = x^{3} + y^{3} - 36 x y$
61587	Find the Local Maxima and Minima	y=2x^3+3X^2-12X+2	$y = 2 x^{3} + 3 X^{2} - 12 X + 2$
61588	Find the Local Maxima and Minima	y=24x^3-3x^4	$y = 24 x^{3} - 3 x^{4}$
61589	Find the Maximum/Minimum Value	y=x^3-3x+3	$y = x^{3} - 3 x + 3$
61590	Find the Maximum/Minimum Value	y=x^3-3x+5	$y = x^{3} - 3 x + 5$
61591	Find the Local Maxima and Minima	f'(x)=x^2-4	$f' (x) = x^{2} - 4$
61592	Find the Local Maxima and Minima	f(x,y)=12xy-x^3-6y^2	$f (x, y) = 12 x y - x^{3} - 6 y^{2}$
61593	Find the Maximum/Minimum Value	y=6x^4+8x^3	$y = 6 x^{4} + 8 x^{3}$
61594	Find the Maximum/Minimum Value	y=x^2e^x	$y = x^{2} e^{x}$
61595	Find the Maximum/Minimum Value	y=x^2-4x+5	$y = x^{2} - 4 x + 5$
61596	Find the Local Maxima and Minima	f(x,y)=x^2+xy+y^2-10y+33	$f (x, y) = x^{2} + x y + y^{2} - 10 y + 33$
61597	Find the Local Maxima and Minima	f(x,y)=x^2+xy+y^2-25y+208	$f (x, y) = x^{2} + x y + y^{2} - 25 y + 208$
61598	Find the Local Maxima and Minima	f(x,y)=x^3+y^3-15xy	$f (x, y) = x^{3} + y^{3} - 15 x y$
61599	Find the Local Maxima and Minima	f(x,y)=9-x^2-5x-y^2	$f (x, y) = 9 - x^{2} - 5 x - y^{2}$
61600	Find the Local Maxima and Minima	f(x,y)=18xy-x^3-9y^2	$f (x, y) = 18 x y - x^{3} - 9 y^{2}$