Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
22501	Find the Local Maxima and Minima	f(x)=3x^5-5x^3+4	$f (x) = 3 x^{5} - 5 x^{3} + 4$
22502	Find the Local Maxima and Minima	f(x)=3xe^x+2	$f (x) = 3 x e^{x} + 2$
22503	Find the Local Maxima and Minima	f(x)=3x+27/x	$f (x) = 3 x + \frac{27}{x}$
22504	Find the Local Maxima and Minima	f(x)=2x^3-4x^2+2	$f (x) = 2 x^{3} - 4 x^{2} + 2$
22505	Find the Local Maxima and Minima	f(x)=2x^3-9x^2-240x	$f (x) = 2 x^{3} - 9 x^{2} - 240 x$
22506	Find the Local Maxima and Minima	f(x)=2x^4-4x^2	$f (x) = 2 x^{4} - 4 x^{2}$
22507	Find the Derivative - d/du	(u^-2+u^-3)(u^5-2u^2)	$(u^{- 2} + u^{- 3}) (u^{5} - 2 u^{2})$
22508	Find the Local Maxima and Minima	f(x)=2x^4-8x^2	$f (x) = 2 x^{4} - 8 x^{2}$
22509	Find the Derivative - d/dt	0.81t^2	$0.81 t^{2}$
22510	Find the Local Maxima and Minima	f(x)=2x^3-24x-5	$f (x) = 2 x^{3} - 24 x - 5$
22511	Find the Local Maxima and Minima	f(x)=2x^3-24x-6	$f (x) = 2 x^{3} - 24 x - 6$
22512	Find the Local Maxima and Minima	f(x)=2x^3-3x^2-252x	$f (x) = 2 x^{3} - 3 x^{2} - 252 x$
22513	Find the Local Maxima and Minima	f(x)=2x^3+6x^2-288x-6	$f (x) = 2 x^{3} + 6 x^{2} - 288 x - 6$
22514	Find the Local Maxima and Minima	f(x)=2x^3-15x^2+24x	$f (x) = 2 x^{3} - 15 x^{2} + 24 x$
22515	Find the Local Maxima and Minima	f(x)=2x^3-21x^2-108x	$f (x) = 2 x^{3} - 21 x^{2} - 108 x$
22516	Find the Local Maxima and Minima	f(x)=2x^2-7x+5	$f (x) = 2 x^{2} - 7 x + 5$
22517	Find the Local Maxima and Minima	f(x)=2x^3+x^2-11x	$f (x) = 2 x^{3} + x^{2} - 11 x$
22518	Find the Local Maxima and Minima	f(x)=2x^3+3x^2-336x	$f (x) = 2 x^{3} + 3 x^{2} - 336 x$
22519	Find the Local Maxima and Minima	f(x)=2x^3+3x^2-72x-10	$f (x) = 2 x^{3} + 3 x^{2} - 72 x - 10$
22520	Find the Local Maxima and Minima	f(x)=2x^2-6/(x^2)	$f (x) = 2 x^{2} - \frac{6}{x^{2}}$
22521	Find the Local Maxima and Minima	f(x)=2x^2-40x+270	$f (x) = 2 x^{2} - 40 x + 270$
22522	Find the Local Maxima and Minima	f(x)=2x^2-16x+27	$f (x) = 2 x^{2} - 16 x + 27$
22523	Find the Local Maxima and Minima	f(x)=2x^2-12x+75	$f (x) = 2 x^{2} - 12 x + 75$
22524	Find the Local Maxima and Minima	f(x)=2x^2+3xy+4y^2-2x+10y	$f (x) = 2 x^{2} + 3 x y + 4 y^{2} - 2 x + 10 y$
22525	Find the Local Maxima and Minima	f(x)=-2x^2-16x-25	$f (x) = - 2 x^{2} - 16 x - 25$
22526	Find the Local Maxima and Minima	f(x)=2x-32/x	$f (x) = 2 x - \frac{32}{x}$
22527	Find the Local Maxima and Minima	f(x)=2x-256/x	$f (x) = 2 x - \frac{256}{x}$
22528	Find the Local Maxima and Minima	f(x)=2sin(x)-cos(2x)	$f (x) = 2 \sin (x) - \cos (2 x)$
22529	Find the Local Maxima and Minima	f(x)=20-x-x^2	$f (x) = 20 - x - x^{2}$
22530	Find the Local Maxima and Minima	f(x)=2cos(x)+sin(2x)	$f (x) = 2 \cos (x) + \sin (2 x)$
22531	Find the Local Maxima and Minima	f(x)=2cos(x-pi)	$f (x) = 2 \cos (x - π)$
22532	Find the Local Maxima and Minima	f(x)=2+8x-x^2	$f (x) = 2 + 8 x - x^{2}$
22533	Find the Local Maxima and Minima	f(x)=-21	$f (x) = - 21$
22534	Find the Local Maxima and Minima	f(x)=20x^3-3x^5	$f (x) = 20 x^{3} - 3 x^{5}$
22535	Find the Local Maxima and Minima	f(x)=3cos(x)^2-6sin(x)	$f (x) = 3 \cos^{2} (x) - 6 \sin (x)$
22536	Find the Local Maxima and Minima	f(x)=2x+11x^(2/11)	$f (x) = 2 x + 11 x^{\frac{2}{11}}$
22537	Find the Local Maxima and Minima	f(x)=2x+3x^(2/3)	$f (x) = 2 x + 3 x^{\frac{2}{3}}$
22538	Find the Local Maxima and Minima	f(x)=3x^4-30x+27	$f (x) = 3 x^{4} - 30 x + 27$
22539	Find the Local Maxima and Minima	f(x)=2x-6x^(1/3)	$f (x) = 2 x - 6 x^{\frac{1}{3}}$
22540	Find the Local Maxima and Minima	f(x)=3x^4+4x^3-48x^2-144x+288	$f (x) = 3 x^{4} + 4 x^{3} - 48 x^{2} - 144 x + 288$
22541	Find the Local Maxima and Minima	f(x)=-3x^2-12x	$f (x) = - 3 x^{2} - 12 x$
22542	Find the Local Maxima and Minima	f(x)=3x^2-18x+15	$f (x) = 3 x^{2} - 18 x + 15$
22543	Find the Local Maxima and Minima	f(x)=3x^2-4x+2	$f (x) = 3 x^{2} - 4 x + 2$
22544	Find the Local Maxima and Minima	f(x)=3x^2-6x	$f (x) = 3 x^{2} - 6 x$
22545	Evaluate the Limit	limit as x approaches 1 of (x^2-1)/( square root of x-1)	$lim_{x \to 1} \frac{x^{2} - 1}{\sqrt{x} - 1}$
22546	Evaluate the Limit	limit as x approaches 4 of 15	$lim_{x \to 4} 15$
22547	Evaluate the Limit	limit as x approaches 4 of x(x-3)	$lim_{x \to 4} x (x - 3)$
22548	Evaluate the Limit	limit as x approaches 4 of x^2-16	$lim_{x \to 4} x^{2} - 16$
22549	Evaluate the Limit	limit as x approaches 4 of x^2-4x+3	$lim_{x \to 4} x^{2} - 4 x + 3$
22550	Evaluate the Limit	limit as x approaches 4 of (3x-5)/(x-3)	$lim_{x \to 4} \frac{3 x - 5}{x - 3}$
22551	Evaluate the Limit	limit as x approaches 4 of (4.01-4)/(4.01^2-3*4.01-4)	$lim_{x \to 4} \frac{4.01 - 4}{{4.01}^{2} - 3 \cdot 4.01 - 4}$
22552	Evaluate the Limit	limit as x approaches 4 of (4x^2-15x-4)/(x^2+9x-52)	$lim_{x \to 4} \frac{4 x^{2} - 15 x - 4}{x^{2} + 9 x - 52}$
22553	Evaluate the Limit	limit as x approaches 4 of (4-y)/(2- square root of y)	$lim_{x \to 4} \frac{4 - y}{2 - \sqrt{y}}$
22554	Evaluate the Limit	limit as x approaches 4 from the left of (6x)/(x-4)	$lim_{x \to 4} \frac{6 x}{x - 4}$
22555	Evaluate the Limit	limit as x approaches 4 of (sin(x-4))/(x^2+4x-32)	$lim_{x \to 4} \frac{\sin (x - 4)}{x^{2} + 4 x - 32}$
22556	Evaluate the Limit	limit as x approaches 4 of (sin(x-4))/(x-4)	$lim_{x \to 4} \frac{\sin (x - 4)}{x - 4}$
22557	Evaluate the Limit	limit as x approaches 4 of (2x)/(16-x^2)	$lim_{x \to 4} \frac{2 x}{16 - x^{2}}$
22558	Evaluate the Limit	limit as x approaches -4 of (2x+8)/(x^2+x-12)	$lim_{x \to - 4} \frac{2 x + 8}{x^{2} + x - 12}$
22559	Evaluate the Limit	limit as x approaches 4 of (x^3-16x)/(x-4)	$lim_{x \to 4} \frac{x^{3} - 16 x}{x - 4}$
22560	Evaluate the Limit	limit as x approaches 3 of (x-3)/(x^2-2x-3)	$lim_{x \to 3} \frac{x - 3}{x^{2} - 2 x - 3}$
22561	Evaluate the Limit	limit as x approaches 4 of \|3x-5\|	$lim_{x \to 4} \| 3 x - 5 \|$
22562	Evaluate the Limit	limit as x approaches -2 of (3- square root of 6x+21)/(x+2)	$lim_{x \to - 2} \frac{3 - \sqrt{6 x + 21}}{x + 2}$
22563	Evaluate the Limit	limit as x approaches 4 of (x^2-9x+10)/(x^2-3x-4)	$lim_{x \to 4} \frac{x^{2} - 9 x + 10}{x^{2} - 3 x - 4}$
22564	Evaluate the Limit	limit as x approaches 4 of ( square root of 2x+1-3)/( square root of x-2 square root of 2)	$lim_{x \to 4} \frac{\sqrt{2 x + 1} - 3}{\sqrt{x - 2 \sqrt{2}}}$
22565	Evaluate the Limit	limit as x approaches 1 of (x^2+x-2)/(x^2-3x+2)	$lim_{x \to 1} \frac{x^{2} + x - 2}{x^{2} - 3 x + 2}$
22566	Evaluate the Limit	limit as x approaches 3.99 of (x-4)/(x^2-3x-4)	$lim_{x \to 3.99} \frac{x - 4}{x^{2} - 3 x - 4}$
22567	Evaluate the Limit	limit as x approaches 3 from the right of natural log of x-3	$lim_{x \to 3} \ln (x - 3)$
22568	Evaluate the Limit	limit as x approaches 36 of (x-36)/( square root of x-6)	$lim_{x \to 36} \frac{x - 36}{\sqrt{x - 6}}$
22569	Evaluate the Limit	limit as x approaches 1.5 of (sin(x-2))/(x^2-4)	$lim_{x \to 1.5} \frac{\sin (x - 2)}{x^{2} - 4}$
22570	Evaluate the Limit	limit as x approaches 1 of ( cube root of x-1)/(x-1)	$lim_{x \to 1} \frac{\sqrt[3]{x} - 1}{x - 1}$
22571	Evaluate the Limit	limit as x approaches 3.999 of (4- square root of x+12)/(x-4)	$lim_{x \to 3.999} \frac{4 - \sqrt{x + 12}}{x - 4}$
22572	Evaluate the Limit	limit as x approaches -3.001 of (x^3-9x)/(x+3)	$lim_{x \to - 3.001} \frac{x^{3} - 9 x}{x + 3}$
22573	Evaluate the Limit	limit as x approaches 4 of (x^2+5x-36)/(x-4)	$lim_{x \to 4} \frac{x^{2} + 5 x - 36}{x - 4}$
22574	Evaluate the Limit	limit as x approaches 4 of (x-4)/(12+x-x^2)	$lim_{x \to 4} \frac{x - 4}{12 + x - x^{2}}$
22575	Find dy/dx	x^2+6y^2=6	$x^{2} + 6 y^{2} = 6$
22576	Evaluate the Limit	limit as x approaches 4 of -x^2+7x-8	$lim_{x \to 4} - x^{2} + 7 x - 8$
22577	Evaluate the Limit	limit as x approaches -4 of x+5	$lim_{x \to - 4} x + 5$
22578	Evaluate the Limit	limit as x approaches 0 of (6^(2x)-1)/(6^x-1)	$lim_{x \to 0} \frac{6^{2 x} - 1}{6^{x} - 1}$
22579	Evaluate the Limit	limit as x approaches 0 of (sin(5x)^3)/(x^3)	$lim_{x \to 0} \frac{\sin^{3} (5 x)}{x^{3}}$
22580	Evaluate the Limit	limit as x approaches negative infinity of x^2+2x^9	$lim_{x \to - \infty} x^{2} + 2 x^{9}$
22581	Evaluate the Limit	limit as x approaches 4 of (16-x^2)/(x^2-8x+16)	$lim_{x \to 4} \frac{16 - x^{2}}{x^{2} - 8 x + 16}$
22582	Find the Derivative - d/dx	y = natural log of (9+e^x)/(9-e^x)	$y = \ln (\frac{9 + e^{x}}{9 - e^{x}})$
22583	Evaluate the Limit	limit as x approaches 3 of x-3	$lim_{x \to 3} x - 3$
22584	Evaluate the Limit	limit as x approaches 3 of x-4	$lim_{x \to 3} x - 4$
22585	Evaluate the Limit	limit as x approaches 3 of (x^2+x-12)/(\|x-3\|)	$lim_{x \to 3} \frac{x^{2} + x - 12}{\| x - 3 \|}$
22586	Evaluate the Limit	limit as x approaches -3 of tan((pix)/4)	$lim_{x \to - 3} \tan (\frac{π x}{4})$
22587	Evaluate the Limit	limit as x approaches 1 of ( square root of x^2+35-6)/(x-1)	$lim_{x \to 1} \frac{\sqrt{x^{2} + 35} - 6}{x - 1}$
22588	Evaluate the Limit	limit as x approaches 3 of 5x-4	$lim_{x \to 3} 5 x - 4$
22589	Evaluate the Limit	limit as x approaches 3 of arctan((x^2-9)/(3x^2-9x))	$lim_{x \to 3} \arctan (\frac{x^{2} - 9}{3 x^{2} - 9 x})$
22590	Evaluate the Limit	limit as x approaches 3 of arctan((x^2-9)/(5x^2-15x))	$lim_{x \to 3} \arctan (\frac{x^{2} - 9}{5 x^{2} - 15 x})$
22591	Evaluate the Limit	limit as x approaches 3 of ax+b	$lim_{x \to 3} a x + b$
22592	Evaluate the Limit	limit as x approaches -3 of 5(3x^2-24x+3)	$lim_{x \to - 3} 5 (3 x^{2} - 24 x + 3)$
22593	Evaluate the Limit	limit as x approaches 7 of (3x)/( square root of x+2)	$lim_{x \to 7} \frac{3 x}{\sqrt{x + 2}}$
22594	Evaluate the Limit	limit as x approaches 3 of (2x^2)-5x-3	$lim_{x \to 3} (2 x^{2}) - 5 x - 3$
22595	Evaluate the Limit	limit as x approaches 3 of 2x^2-3x+14	$lim_{x \to 3} 2 x^{2} - 3 x + 14$
22596	Evaluate the Limit	limit as x approaches -3 of 1	$lim_{x \to - 3} 1$
22597	Find the Concavity	(x^2)/(x^2+3)	$\frac{x^{2}}{x^{2} + 3}$
22598	Evaluate the Limit	limit as x approaches 3 of (4x^2-36)/(x-3)	$lim_{x \to 3} \frac{4 x^{2} - 36}{x - 3}$
22599	Evaluate the Limit	limit as x approaches 3 of 3/(x-3)	$lim_{x \to 3} \frac{3}{x - 3}$
22600	Evaluate the Limit	limit as x approaches 3 of (2x^2-3x-9)/(x^2-9)	$lim_{x \to 3} \frac{2 x^{2} - 3 x - 9}{x^{2} - 9}$