Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
36401	Find the Derivative - d/dx	3(5-9x)^5	$3 {(5 - 9 x)}^{5}$
36402	Evaluate the Limit	limit as x approaches infinity of square root of x^2+x- square root of x^2-x	$lim_{x \to \infty} \sqrt{x^{2} + x} - \sqrt{x^{2} - x}$
36403	Evaluate the Limit	limit as x approaches 5 of (1/x-1/5)/(x-5)	$lim_{x \to 5} \frac{\frac{1}{x} - \frac{1}{5}}{x - 5}$
36404	Evaluate the Limit	limit as x approaches 5 of (4.990^3-25*4.990)/(4.990-5)	$lim_{x \to 5} \frac{{4.99}^{3} - 25 \cdot 4.99}{4.99 - 5}$
36405	Evaluate the Limit	limit as x approaches 5 of ( square root of 9-x-2)/(x-5)	$lim_{x \to 5} \frac{\sqrt{9 - x} - 2}{x - 5}$
36406	Find the Derivative - d/dx	e^(5xy)	$e^{5 x y}$
36407	Evaluate the Limit	limit as x approaches 49 of ( square root of x- square root of 49)/(x-49)	$lim_{x \to 49} \frac{\sqrt{x} - \sqrt{49}}{x - 49}$
36408	Evaluate the Limit	limit as x approaches 49 of ( square root of x-7)/(x^2-49)	$lim_{x \to 49} \frac{\sqrt{x} - 7}{x^{2} - 49}$
36409	Evaluate the Limit	limit as x approaches 4 of (x^2-9x+20)/(x-4)	$lim_{x \to 4} \frac{x^{2} - 9 x + 20}{x - 4}$
36410	Evaluate the Limit	limit as x approaches 49 of 1/( square root of x-7)-14/(x-49)	$lim_{x \to 49} \frac{1}{\sqrt{x} - 7} - \frac{14}{x - 49}$
36411	Evaluate the Limit	limit as x approaches infinity of xe^(-x)	$lim_{x \to \infty} x e^{- x}$
36412	Evaluate the Limit	( limit as x approaches 49 of (f(x))(49-x))/(7- square root of x)	$\frac{lim_{x \to 49} (f (x)) (49 - x)}{7 - \sqrt{x}}$
36413	Evaluate the Limit	limit as x approaches 303 of (x-303)/( square root of x+21-18)	$lim_{x \to 303} \frac{x - 303}{\sqrt{x + 21} - 18}$
36414	Find the Local Maxima and Minima	f(x)=3x^3-12x^2+23000x	$f (x) = 3 x^{3} - 12 x^{2} + 23000 x$
36415	Find the Local Maxima and Minima	f(x)=3x^3-18x^2+2	$f (x) = 3 x^{3} - 18 x^{2} + 2$
36416	Find the Local Maxima and Minima	f(x)=3x^3-2x^2+48x-32	$f (x) = 3 x^{3} - 2 x^{2} + 48 x - 32$
36417	Find the Derivative - d/dx	e^(6x)+e^(-x)	$e^{6 x} + e^{- x}$
36418	Find the Derivative - d/dx	e^(ax)sin(bx)	$e^{a x} \sin (b x)$
36419	Find the Local Maxima and Minima	f(x)=3x^2-6x+2	$f (x) = 3 x^{2} - 6 x + 2$
36420	Find the Local Maxima and Minima	f(x)=-3x^3+9x^2+167x-4	$f (x) = - 3 x^{3} + 9 x^{2} + 167 x - 4$
36421	Find the Local Maxima and Minima	f(x)=-3x^3+9x^2+174x-5	$f (x) = - 3 x^{3} + 9 x^{2} + 174 x - 5$
36422	Find the Local Maxima and Minima	f(x)=3x^3+9x^2-27x	$f (x) = 3 x^{3} + 9 x^{2} - 27 x$
36423	Find the Local Maxima and Minima	f(x)=3x^3+9x^2-72x	$f (x) = 3 x^{3} + 9 x^{2} - 72 x$
36424	Find the Local Maxima and Minima	f(x)=3x^2-6x+5	$f (x) = 3 x^{2} - 6 x + 5$
36425	Find the Local Maxima and Minima	f(x)=3x^2-6x-24	$f (x) = 3 x^{2} - 6 x - 24$
36426	Find the Local Maxima and Minima	f(x)=3x^2-6x-9	$f (x) = 3 x^{2} - 6 x - 9$
36427	Find the Local Maxima and Minima	f(x)=3x^2-8x	$f (x) = 3 x^{2} - 8 x$
36428	Find the Local Maxima and Minima	f(x)=-3x^3+12x^2+144-200	$f (x) = - 3 x^{3} + 12 x^{2} + 144 - 200$
36429	Find the Local Maxima and Minima	f(x)=3x^2-4x-15	$f (x) = 3 x^{2} - 4 x - 15$
36430	Find the Local Maxima and Minima	f(x)=3x^2-5x+4	$f (x) = 3 x^{2} - 5 x + 4$
36431	Find the Local Maxima and Minima	f(x)=3x^2-6 natural log of x	$f (x) = 3 x^{2} - 6 \ln (x)$
36432	Find the Local Maxima and Minima	f(x)=-3x^2-18x+165	$f (x) = - 3 x^{2} - 18 x + 165$
36433	Find the Local Maxima and Minima	f(x)=3x^2-18x+24	$f (x) = 3 x^{2} - 18 x + 24$
36434	Find the Local Maxima and Minima	f(x)=3x^2-18x+27	$f (x) = 3 x^{2} - 18 x + 27$
36435	Find the Local Maxima and Minima	f(x)=3x^2-18x-120	$f (x) = 3 x^{2} - 18 x - 120$
36436	Find the Local Maxima and Minima	f(x)=-3x^2-18x-19	$f (x) = - 3 x^{2} - 18 x - 19$
36437	Find the Local Maxima and Minima	f(x)=-3x^2-18x-24	$f (x) = - 3 x^{2} - 18 x - 24$
36438	Find the Local Maxima and Minima	f(x)=3x^2-18x-3	$f (x) = 3 x^{2} - 18 x - 3$
36439	Find the Local Maxima and Minima	f(x)=3x^2-12x+3	$f (x) = 3 x^{2} - 12 x + 3$
36440	Find the Local Maxima and Minima	f(x)=3x^2-12x+6	$f (x) = 3 x^{2} - 12 x + 6$
36441	Find the Local Maxima and Minima	f(x)=3x^2-12x-2	$f (x) = 3 x^{2} - 12 x - 2$
36442	Find the Local Maxima and Minima	f(x)=3x^2-12x-3	$f (x) = 3 x^{2} - 12 x - 3$
36443	Find the Local Maxima and Minima	f(x)=3x^2-12x-36	$f (x) = 3 x^{2} - 12 x - 36$
36444	Find the Local Maxima and Minima	f(x)=-3x^2-12x-9	$f (x) = - 3 x^{2} - 12 x - 9$
36445	Find the Local Maxima and Minima	f(x)=3x^2-16x-20	$f (x) = 3 x^{2} - 16 x - 20$
36446	Find the Local Maxima and Minima	f(x)=3x^2-2x^3-4	$f (x) = 3 x^{2} - 2 x^{3} - 4$
36447	Find the Local Maxima and Minima	f(x)=3x^2-24x+45	$f (x) = 3 x^{2} - 24 x + 45$
36448	Find the Local Maxima and Minima	f(x)=3x^2-2x-5	$f (x) = 3 x^{2} - 2 x - 5$
36449	Find the Local Maxima and Minima	f(x)=3x^2-36x+1	$f (x) = 3 x^{2} - 36 x + 1$
36450	Find the Local Maxima and Minima	f(x)=3x^2-36x-7	$f (x) = 3 x^{2} - 36 x - 7$
36451	Find the Local Maxima and Minima	f(x)=3x^2+2x-5	$f (x) = 3 x^{2} + 2 x - 5$
36452	Find the Local Maxima and Minima	f(x)=-3x^2+30x-71	$f (x) = - 3 x^{2} + 30 x - 71$
36453	Find the Local Maxima and Minima	f(x)=-3x^2+48x-189	$f (x) = - 3 x^{2} + 48 x - 189$
36454	Find the Local Maxima and Minima	f(x)=3x^2+5x^4+5x	$f (x) = 3 x^{2} + 5 x^{4} + 5 x$
36455	Find the Local Maxima and Minima	f(x)=3x^2+5x+2	$f (x) = 3 x^{2} + 5 x + 2$
36456	Find the Local Maxima and Minima	f(x)=-3x^2+5x-1	$f (x) = - 3 x^{2} + 5 x - 1$
36457	Find the Local Maxima and Minima	f(x)=3x^2+5x-7	$f (x) = 3 x^{2} + 5 x - 7$
36458	Find the Local Maxima and Minima	f(x)=3x^2+5x-9	$f (x) = 3 x^{2} + 5 x - 9$
36459	Find the Local Maxima and Minima	f(x)=-3x^2+61x-122	$f (x) = - 3 x^{2} + 61 x - 122$
36460	Find the Local Maxima and Minima	f(x)=3x^2+6x-24	$f (x) = 3 x^{2} + 6 x - 24$
36461	Find the Local Maxima and Minima	f(x)=3x^2+7x+9	$f (x) = 3 x^{2} + 7 x + 9$
36462	Find the Local Maxima and Minima	f(x)=-3x^2+8x-2	$f (x) = - 3 x^{2} + 8 x - 2$
36463	Find the Local Maxima and Minima	f(x)=3x^4+6x+10	$f (x) = 3 x^{4} + 6 x + 10$
36464	Find the Local Maxima and Minima	f(x)=-3x^4+8x^3+6x^2-25x	$f (x) = - 3 x^{4} + 8 x^{3} + 6 x^{2} - 25 x$
36465	Find the Local Maxima and Minima	f(x)=3x^4+8x^3-6x^2-24x	$f (x) = 3 x^{4} + 8 x^{3} - 6 x^{2} - 24 x$
36466	Find the Local Maxima and Minima	f(x)=3x^4-24x^2+4	$f (x) = 3 x^{4} - 24 x^{2} + 4$
36467	Find the Local Maxima and Minima	f(x)=3x^4-2x^3	$f (x) = 3 x^{4} - 2 x^{3}$
36468	Find the Local Maxima and Minima	f(x)=3x^4-2x^3-12x^2+18x+15	$f (x) = 3 x^{4} - 2 x^{3} - 12 x^{2} + 18 x + 15$
36469	Find the Local Maxima and Minima	f(x)=3x^4-2x^3-18x^3	$f (x) = 3 x^{4} - 2 x^{3} - 18 x^{3}$
36470	Find the Local Maxima and Minima	f(x)=3x^3-3x+5	$f (x) = 3 x^{3} - 3 x + 5$
36471	Find the Local Maxima and Minima	f(x)=-3x^3-4x^4	$f (x) = - 3 x^{3} - 4 x^{4}$
36472	Find the Local Maxima and Minima	f(x)=3x^3-9x^2-27x+5	$f (x) = 3 x^{3} - 9 x^{2} - 27 x + 5$
36473	Find the Local Maxima and Minima	f(x)=3x^4-43^3+55x^2	$f (x) = 3 x^{4} - 43^{3} + 55 x^{2}$
36474	Find the Local Maxima and Minima	f(x)=3x^3-36x-6	$f (x) = 3 x^{3} - 36 x - 6$
36475	Find the Derivative - d/dx	(e^(4x))/(x^16)	$\frac{e^{4 x}}{x^{16}}$
36476	Find the Local Maxima and Minima	f(x)=3x^4-8x^3+6x^2+4	$f (x) = 3 x^{4} - 8 x^{3} + 6 x^{2} + 4$
36477	Find the Local Maxima and Minima	f(x)=-3x^4-8x^3+6x+24x	$f (x) = - 3 x^{4} - 8 x^{3} + 6 x + 24 x$
36478	Find the Local Maxima and Minima	f(x)=3x^4-8x^3-24x^2+96x	$f (x) = 3 x^{4} - 8 x^{3} - 24 x^{2} + 96 x$
36479	Find the Local Maxima and Minima	f(x)=3x^4-8x^3-90x^2	$f (x) = 3 x^{4} - 8 x^{3} - 90 x^{2}$
36480	Find the Local Maxima and Minima	f(x)=3x^4-96x^2+5	$f (x) = 3 x^{4} - 96 x^{2} + 5$
36481	Find the Local Maxima and Minima	f(x)=3x^5-125x^3+14	$f (x) = 3 x^{5} - 125 x^{3} + 14$
36482	Find the Local Maxima and Minima	f(x)=3x^5-15x	$f (x) = 3 x^{5} - 15 x$
36483	Find the Local Maxima and Minima	f(x)=3x^4-72x^3+2	$f (x) = 3 x^{4} - 72 x^{3} + 2$
36484	Find the Local Maxima and Minima	f(x)=3x^4-8x^3+10000	$f (x) = 3 x^{4} - 8 x^{3} + 10000$
36485	Find the Local Maxima and Minima	f(x)=3x^4-8x^3+6x^2+1	$f (x) = 3 x^{4} - 8 x^{3} + 6 x^{2} + 1$
36486	Find the Derivative - d/dx	(5x-7)/(35x^3)	$\frac{5 x - 7}{35 x^{3}}$
36487	Find the Local Maxima and Minima	f(x)=3x^5-20x^3+20	$f (x) = 3 x^{5} - 20 x^{3} + 20$
36488	Find the Local Maxima and Minima	f(x)=3x^5-20x^3-20	$f (x) = 3 x^{5} - 20 x^{3} - 20$
36489	Find the Local Maxima and Minima	f(x)=3x^5-45x^3+13	$f (x) = 3 x^{5} - 45 x^{3} + 13$
36490	Find the Local Maxima and Minima	f(x)=3x^4-24x^3+48x^2	$f (x) = 3 x^{4} - 24 x^{3} + 48 x^{2}$
36491	Find the Local Maxima and Minima	f(x)=3x^4-24x^3+54x^2-48x+7	$f (x) = 3 x^{4} - 24 x^{3} + 54 x^{2} - 48 x + 7$
36492	Find the Local Maxima and Minima	f(x)=3x^4-28x^3+60x^2	$f (x) = 3 x^{4} - 28 x^{3} + 60 x^{2}$
36493	Find the Derivative - d/dx	(12x-3)^(1/2)	${(12 x - 3)}^{\frac{1}{2}}$
36494	Find the Derivative - d/d@VAR	f(x)=3cos(x)	$f (x) = 3 \cos (x)$
36495	Find the Local Maxima and Minima	f(x)=3x^4-4x^3-12x^2+1	$f (x) = 3 x^{4} - 4 x^{3} - 12 x^{2} + 1$
36496	Find the Derivative - d/d@VAR	f(x)=5(3x-3)^7	$f (x) = 5 {(3 x - 3)}^{7}$
36497	Find the Local Maxima and Minima	f(x)=3x^4-4x^3-6x^2+12x+1	$f (x) = 3 x^{4} - 4 x^{3} - 6 x^{2} + 12 x + 1$
36498	Find the Local Maxima and Minima	f(x)=3x^4-48x^3+216x^2+4	$f (x) = 3 x^{4} - 48 x^{3} + 216 x^{2} + 4$
36499	Find the Local Maxima and Minima	f(x)=3x^4-56x^3+294x^2+6	$f (x) = 3 x^{4} - 56 x^{3} + 294 x^{2} + 6$
36500	Find the Local Maxima and Minima	f(x)=3x^4-6x^2+5/3	$f (x) = 3 x^{4} - 6 x^{2} + \frac{5}{3}$