Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
24301	Find the Critical Points	3x^5-20x^3	$3 x^{5} - 20 x^{3}$
24302	Find the Critical Points	3x-36x^(1/3)	$3 x - 36 x^{\frac{1}{3}}$
24303	Find the Critical Points	36x-9tan(x)	$36 x - 9 \tan (x)$
24304	Find the Critical Points	3x^3-9x	$3 x^{3} - 9 x$
24305	Find the Critical Points	3x^3-9x+1	$3 x^{3} - 9 x + 1$
24306	Find the Critical Points	3x+7	$3 x + 7$
24307	Find the Critical Points	3x^3+18x^2-45x	$3 x^{3} + 18 x^{2} - 45 x$
24308	Find the Critical Points	-3x^3+4x^4	$- 3 x^{3} + 4 x^{4}$
24309	Find the Critical Points	3x^2-4x-4	$3 x^{2} - 4 x - 4$
24310	Find the Critical Points	-3x^2+4x+15	$- 3 x^{2} + 4 x + 15$
24311	Find the Critical Points	3x^2+8x-3	$3 x^{2} + 8 x - 3$
24312	Find the Critical Points	3x^2+6x-9	$3 x^{2} + 6 x - 9$
24313	Find the Critical Points	3x^2-3	$3 x^{2} - 3$
24314	Find the Critical Points	12x^2-160x+400	$12 x^{2} - 160 x + 400$
24315	Find the Critical Points	3x^2+5x+1	$3 x^{2} + 5 x + 1$
24316	Find the Critical Points	3ax^2+2bx+c	$3 a x^{2} + 2 b x + c$
24317	Find the Critical Points	2cos(x)+cos(x)^2	$2 \cos (x) + \cos^{2} (x)$
24318	Find the Critical Points	-2sin(2x)	$- 2 \sin (2 x)$
24319	Find the Critical Points	2cos(t)+sin(2t)	$2 \cos (t) + \sin (2 t)$
24320	Evaluate the Integral	integral from 0 to pi/2 of sin(x)^ncos(x) with respect to x	$\int_{0}^{\frac{π}{2}} {\sin (x)}^{n} \cos (x) d x$
24321	Find the Critical Points	2x+4	$2 x + 4$
24322	Find the Critical Points	2x^3+3x^2-120x+6	$2 x^{3} + 3 x^{2} - 120 x + 6$
24323	Find the Critical Points	18-12x	$18 - 12 x$
24324	Find the Critical Points	2x^2-5x-3	$2 x^{2} - 5 x - 3$
24325	Find the Critical Points	2x^3+3x^2-72x	$2 x^{3} + 3 x^{2} - 72 x$
24326	Find the Critical Points	2x^3-24x	$2 x^{3} - 24 x$
24327	Find the Critical Points	2x^3-24x-8	$2 x^{3} - 24 x - 8$
24328	Find the Critical Points	2x^3-3x^2-12x	$2 x^{3} - 3 x^{2} - 12 x$
24329	Find the Critical Points	2x^3-3x^2-36x	$2 x^{3} - 3 x^{2} - 36 x$
24330	Find the Critical Points	2x^3-3x^2-72x+2	$2 x^{3} - 3 x^{2} - 72 x + 2$
24331	Find the Critical Points	12x^3-63x^2-72x+2	$12 x^{3} - 63 x^{2} - 72 x + 2$
24332	Find the Critical Points	12x^3-9x^2-108x+1	$12 x^{3} - 9 x^{2} - 108 x + 1$
24333	Find the Critical Points	16x+2x^(-1/2)	$16 x + 2 x^{- \frac{1}{2}}$
24334	Find the Critical Points	12x^3+24x^2-12x-24	$12 x^{3} + 24 x^{2} - 12 x - 24$
24335	Find the Critical Points	18x^2-36x-144	$18 x^{2} - 36 x - 144$
24336	Find the Critical Points	2.6+5.6x-2.3x^2	$2.6 + 5.6 x - 2.3 x^{2}$
24337	Find the Critical Points	x^4-4x^3+6	$x^{4} - 4 x^{3} + 6$
24338	Find the Critical Points	x^4-4x^3-2x^2+12x-5	$x^{4} - 4 x^{3} - 2 x^{2} + 12 x - 5$
24339	Find the Critical Points	x^4-2x^2+3	$x^{4} - 2 x^{2} + 3$
24340	Find the Critical Points	x^4-3x^3	$x^{4} - 3 x^{3}$
24341	Find the Critical Points	x^4-6x^2	$x^{4} - 6 x^{2}$
24342	Find the Critical Points	x^4-8x^2	$x^{4} - 8 x^{2}$
24343	Find the Critical Points	x^8(x-4)^7	$x^{8} {(x - 4)}^{7}$
24344	Find the Critical Points	xe^(-2x^2)	$x e^{- 2 x^{2}}$
24345	Find the Critical Points	xe^(-3x)	$x e^{- 3 x}$
24346	Find the Critical Points	1+2sin(x)	$1 + 2 \sin (x)$
24347	Find the Critical Points	10sec(x)+5tan(x)	$10 \sec (x) + 5 \tan (x)$
24348	Find the Critical Points	12x^2-152x+361	$12 x^{2} - 152 x + 361$
24349	Find the Critical Points	x^4-12x^3+48x^2-64x	$x^{4} - 12 x^{3} + 48 x^{2} - 64 x$
24350	Find the Critical Points	x^4+16x^3+64x^2+6	$x^{4} + 16 x^{3} + 64 x^{2} + 6$
24351	Find the Critical Points	x^3-3x^2-9x+5	$x^{3} - 3 x^{2} - 9 x + 5$
24352	Find the Critical Points	x^3-4x^2	$x^{3} - 4 x^{2}$
24353	Find the Critical Points	x^3-4x^2-3x+1	$x^{3} - 4 x^{2} - 3 x + 1$
24354	Find the Critical Points	x^3-6x	$x^{3} - 6 x$
24355	Find the Critical Points	x^3-3x^2+1	$x^{3} - 3 x^{2} + 1$
24356	Find the Critical Points	x^3-3x^2+4	$x^{3} - 3 x^{2} + 4$
24357	Find the Critical Points	x^3-12x^2+36x	$x^{3} - 12 x^{2} + 36 x$
24358	Find the Critical Points	-x^3+9x^2-53	$- x^{3} + 9 x^{2} - 53$
24359	Find the Critical Points	x^3+x^2-x	$x^{3} + x^{2} - x$
24360	Find the Critical Points	x^3+2x^2-15x+3	$x^{3} + 2 x^{2} - 15 x + 3$
24361	Find the Critical Points	x^3+6x^2-15x	$x^{3} + 6 x^{2} - 15 x$
24362	Find the Critical Points	x^(4/5)(x-1)^2	$x^{\frac{4}{5}} {(x - 1)}^{2}$
24363	Find the Critical Points	x^(4/5)(x-9)^2	$x^{\frac{4}{5}} {(x - 9)}^{2}$
24364	Find the Critical Points	x^2e^(17x)	$x^{2} e^{17 x}$
24365	Find the Critical Points	x^(5/3)-5x^(2/3)	$x^{\frac{5}{3}} - 5 x^{\frac{2}{3}}$
24366	Find the Critical Points	x^2e^(-3x)	$x^{2} e^{- 3 x}$
24367	Find the Critical Points	x^2+2y^2+2xy+2x+4y+7	$x^{2} + 2 y^{2} + 2 x y + 2 x + 4 y + 7$
24368	Find the Critical Points	x^2-10	$x^{2} - 10$
24369	Find the Critical Points	x^2y=120	$x^{2} y = 120$
24370	Find the Critical Points	x^3(x-2)^2(x-4)	$x^{3} {(x - 2)}^{2} (x - 4)$
24371	Find the Critical Points	x^3+y^3+3x^2-3y^2=0	$x^{3} + y^{3} + 3 x^{2} - 3 y^{2} = 0$
24372	Find the Critical Points	x^2-2x+4	$x^{2} - 2 x + 4$
24373	Find the Critical Points	x^2-32 square root of x	$x^{2} - 32 \sqrt{x}$
24374	Find the Critical Points	x^2-3x+2	$x^{2} - 3 x + 2$
24375	Find the Critical Points	x^2-2x	$x^{2} - 2 x$
24376	Find the Critical Points	x^2-2x+2	$x^{2} - 2 x + 2$
24377	Find the Critical Points	x^2-4 square root of x	$x^{2} - 4 \sqrt{x}$
24378	Find the Critical Points	e^(7x)	$e^{7 x}$
24379	Find the Critical Points	9/2x^4-8x^3-15x^2+12x-2	$\frac{9}{2} x^{4} - 8 x^{3} - 15 x^{2} + 12 x - 2$
24380	Find the Critical Points	1/4x^4-32x^2	$\frac{1}{4} x^{4} - 32 x^{2}$
24381	Find the Critical Points	e^x-x	$e^{x} - x$
24382	Find the Critical Points	t^(3/4)-2t^(1/4)	$t^{\frac{3}{4}} - 2 t^{\frac{1}{4}}$
24383	Find the Critical Points	square root of x^2+1-x	$\sqrt{x^{2} + 1} - x$
24384	Find the Critical Points	x^(1/5)(x+6)	$x^{\frac{1}{5}} (x + 6)$
24385	Find the Critical Points	t^4+t^3+t^2+1	$t^{4} + t^{3} + t^{2} + 1$
24386	Find the Critical Points	t^4-16t^3+70t^2	$t^{4} - 16 t^{3} + 70 t^{2}$
24387	Find the Critical Points	t^4-20t^3+88t^2	$t^{4} - 20 t^{3} + 88 t^{2}$
24388	Find the Critical Points	3^xsin(x)	$3^{x} \sin (x)$
24389	Find the Critical Points	(x^2-4)^(2/3)	${(x^{2} - 4)}^{\frac{2}{3}}$
24390	Find the Critical Points	(cos(a)^5-sin(a)^4cos(a))/(cos(a)^2-sin(a)^2)-cos(a)	$\frac{\cos^{5} (a) - \sin^{4} (a) \cos (a)}{\cos^{2} (a) - \sin^{2} (a)} - \cos (a)$
24391	Find the Critical Points	-0.015t^2+1.46t	$- 0.015 t^{2} + 1.46 t$
24392	Find the Critical Points	(3i^4-2i^2+5i-1)-(5i^3+4i^2-i+2)	$(3 i^{4} - 2 i^{2} + 5 i - 1) - (5 i^{3} + 4 i^{2} - i + 2)$
24393	Find the Critical Points	0.00009045t^5+0.001438t^4-0.06561t^3+0.4598t^2-0.6270t+99.33	$0.0\overline{000904} t^{5} + 0.001438 t^{4} - 0.06561 t^{3} + 0.4598 t^{2} - 0.627 t + 99.33$
24394	Find the Critical Points	(x^3-8)^4	${(x^{3} - 8)}^{4}$
24395	Find the Critical Points	(x^2-1)^3	${(x^{2} - 1)}^{3}$
24396	Find the Critical Points	(x+1)^4	${(x + 1)}^{4}$
24397	Find the Behavior (Leading Coefficient Test)	h(x)=xe^x	$h (x) = x e^{x}$
24398	Find the Behavior (Leading Coefficient Test)	f(x)=(6x-5)/(4-9x^2)	$f (x) = \frac{6 x - 5}{4 - 9 x^{2}}$
24399	Find the Behavior (Leading Coefficient Test)	f(x)=(10-5x^2-3x^3)/(2x^3-4x+12)	$f (x) = \frac{10 - 5 x^{2} - 3 x^{3}}{2 x^{3} - 4 x + 12}$
24400	Find the Behavior (Leading Coefficient Test)	f(x)=4x^3-3x^4	$f (x) = 4 x^{3} - 3 x^{4}$