Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
58201	Find the Critical Points	f(x)=-x^3+4x^2+3x-1	$f (x) = - x^{3} + 4 x^{2} + 3 x - 1$
58202	Find the Critical Points	f(x)=2x^2 natural log of x-7x^2	$f (x) = 2 x^{2} \ln (x) - 7 x^{2}$
58203	Find the Critical Points	f(x)=(x-3)e^(-8x)	$f (x) = (x - 3) e^{- 8 x}$
58204	Find the Critical Points	f(x)=x^4-32x^2+1	$f (x) = x^{4} - 32 x^{2} + 1$
58205	Find the Critical Points	f(x)=-2x^3+42x^2-270x+2	$f (x) = - 2 x^{3} + 42 x^{2} - 270 x + 2$
58206	Find the Critical Points	f(x)=8x^3-30x^2-504x+2	$f (x) = 8 x^{3} - 30 x^{2} - 504 x + 2$
58207	Find the Critical Points	g(x)=-4-8x+2x^2	$g (x) = - 4 - 8 x + 2 x^{2}$
58208	Find the Critical Points	f(x)=x^2+240/x	$f (x) = x^{2} + \frac{240}{x}$
58209	Find the Critical Points	f(x)=8x^3-18x^2-24x+5	$f (x) = 8 x^{3} - 18 x^{2} - 24 x + 5$
58210	Find the Critical Points	f(x)=2.8+2.4x-0.7x^2	$f (x) = 2.8 + 2.4 x - 0.7 x^{2}$
58211	Find the Critical Points	f(x) = square root of x^2+8x+17	$f (x) = \sqrt{x^{2} + 8 x + 17}$
58212	Find the Critical Points	f(x)=(x^2+3)(5-x)	$f (x) = (x^{2} + 3) (5 - x)$
58213	Find the Critical Points	f(x)=(16x^2+81)/x	$f (x) = \frac{16 x^{2} + 81}{x}$
58214	Find the Critical Points	f(x)=2.5+2.4x-0.7x^2	$f (x) = 2.5 + 2.4 x - 0.7 x^{2}$
58215	Find the Critical Points	f(x)=-3x^2+54 natural log of x	$f (x) = - 3 x^{2} + 54 \ln (x)$
58216	Find the Critical Points	f(x)=4x^2-8x-3	$f (x) = 4 x^{2} - 8 x - 3$
58217	Find the Critical Points	f(x)=x^4e^(-7x)	$f (x) = x^{4} e^{- 7 x}$
58218	Find the Critical Points	f(x)=(9x^2+64)/x	$f (x) = \frac{9 x^{2} + 64}{x}$
58219	Find the Critical Points	g(t)=5t natural log of t	$g (t) = 5 t \ln (t)$
58220	Find the Critical Points	f(x)=x^3-8x^2-12x+8	$f (x) = x^{3} - 8 x^{2} - 12 x + 8$
58221	Find the Critical Points	f(x)=365x^2-3650x^3	$f (x) = 365 x^{2} - 3650 x^{3}$
58222	Find the Critical Points	f(x)=1/3x^3-5/2x^2+2x+2	$f (x) = \frac{1}{3} x^{3} - \frac{5}{2} x^{2} + 2 x + 2$
58223	Find the Critical Points	f(x)=2x^2-76x	$f (x) = 2 x^{2} - 76 x$
58224	Find the Critical Points	f(t)=2t^(2/3)+t^(5/3)	$f (t) = 2 t^{\frac{2}{3}} + t^{\frac{5}{3}}$
58225	Find the Critical Points	f(x)=3x^2-12x+35	$f (x) = 3 x^{2} - 12 x + 35$
58226	Find the Critical Points	f(x)=(-9x^2+25)^2	$f (x) = {(- 9 x^{2} + 25)}^{2}$
58227	Find the Critical Points	f(x)=-x^4+4x^3-4x^2+4	$f (x) = - x^{4} + 4 x^{3} - 4 x^{2} + 4$
58228	Find the Critical Points	f(x)=1+2cos(x)	$f (x) = 1 + 2 \cos (x)$
58229	Find the Critical Points	f(x)=e^(sin(x))	$f (x) = e^{\sin (x)}$
58230	Find the Critical Points	f(x)=(25x^2+49)/x	$f (x) = \frac{25 x^{2} + 49}{x}$
58231	Find the Critical Points	f(x)=-2x^3+36x^2-192x	$f (x) = - 2 x^{3} + 36 x^{2} - 192 x$
58232	Find the Critical Points	f(x)=2.6+2.4x-0.7x^2	$f (x) = 2.6 + 2.4 x - 0.7 x^{2}$
58233	Find the Critical Points	f(x)=2.4+2.2x-0.6x^2	$f (x) = 2.4 + 2.2 x - 0.6 x^{2}$
58234	Find the Critical Points	f(x)=8x^3-78x^2-288x+8	$f (x) = 8 x^{3} - 78 x^{2} - 288 x + 8$
58235	Find the Critical Points	f(x)=8x^3-54x^2-216x+7	$f (x) = 8 x^{3} - 54 x^{2} - 216 x + 7$
58236	Find the Critical Points	f(x)=6x^4-16x^3+12x^2	$f (x) = 6 x^{4} - 16 x^{3} + 12 x^{2}$
58237	Find the Critical Points	f(x)=12x^2-24x	$f (x) = 12 x^{2} - 24 x$
58238	Find the Critical Points	T(t)=-0.3t^2+2.4t+98.9	$T (t) = - 0.3 t^{2} + 2.4 t + 98.9$
58239	Find the Critical Points	T(T)=-0.1T^2+0.8T+98.7	$T (T) = - 0.1 T^{2} + 0.8 T + 98.7$
58240	Find the Critical Points	f(x)=-3x^2+18x	$f (x) = - 3 x^{2} + 18 x$
58241	Find the Critical Points	f(x)=2.1+3.2x-1.1x^2	$f (x) = 2.1 + 3.2 x - 1.1 x^{2}$
58242	Find the Critical Points	f(x)=-x^2+11x-30	$f (x) = - x^{2} + 11 x - 30$
58243	Find the Critical Points	f(x)=-4x^2+48x	$f (x) = - 4 x^{2} + 48 x$
58244	Find the Critical Points	f(x)=2x^5-5x^4	$f (x) = 2 x^{5} - 5 x^{4}$
58245	Find the Critical Points	f(x)=-x^2-6x-5	$f (x) = - x^{2} - 6 x - 5$
58246	Find the Critical Points	h(t)=t^(3/4)-8t^(1/4)	$h (t) = t^{\frac{3}{4}} - 8 t^{\frac{1}{4}}$
58247	Find the Critical Points	g(x)=3x^2-90x	$g (x) = 3 x^{2} - 90 x$
58248	Find the Critical Points	f(x)=-2x^3+24x^2-42x+5	$f (x) = - 2 x^{3} + 24 x^{2} - 42 x + 5$
58249	Find the Critical Points	f(x)=x^2+8x+18	$f (x) = x^{2} + 8 x + 18$
58250	Find the Critical Points	f(x)=2sin(x)-cos(2x)	$f (x) = 2 \sin (x) - \cos (2 x)$
58251	Find the Critical Points	f(x)=x-7x^(1/7)	$f (x) = x - 7 x^{\frac{1}{7}}$
58252	Find the Critical Points	f(x)=3/4x^4+4x^3-12x^2+24	$f (x) = \frac{3}{4} x^{4} + 4 x^{3} - 12 x^{2} + 24$
58253	Find the Critical Points	f(x)=x^4-32x^2-9	$f (x) = x^{4} - 32 x^{2} - 9$
58254	Find the Critical Points	g(x)=-2x^3+3x^4	$g (x) = - 2 x^{3} + 3 x^{4}$
58255	Find the Critical Points	f(x)=\|x^2-16\|	$f (x) = \| x^{2} - 16 \|$
58256	Find the Critical Points	f(x)=2x^3+39x^2+216x+10	$f (x) = 2 x^{3} + 39 x^{2} + 216 x + 10$
58257	Find the Critical Points	f(x)=2.2+5.6x-2.3x^2	$f (x) = 2.2 + 5.6 x - 2.3 x^{2}$
58258	Find the Critical Points	f(x)=4-7x^4	$f (x) = 4 - 7 x^{4}$
58259	Find the Critical Points	f(x)=4x^3-33x^2-240x+4	$f (x) = 4 x^{3} - 33 x^{2} - 240 x + 4$
58260	Find the Critical Points	f(x)=3x^3-3x^2-3x+4	$f (x) = 3 x^{3} - 3 x^{2} - 3 x + 4$
58261	Find the Critical Points	f(x)=4/3x^3-21/2x^2+5x+3	$f (x) = \frac{4}{3} x^{3} - \frac{21}{2} x^{2} + 5 x + 3$
58262	Find the Critical Points	f(x)=8x^3-66x^2-480x+1	$f (x) = 8 x^{3} - 66 x^{2} - 480 x + 1$
58263	Find the Critical Points	f(x)=x^2+12x+36	$f (x) = x^{2} + 12 x + 36$
58264	Find the Critical Points	f(x)=5x^3-3x^2+5	$f (x) = 5 x^{3} - 3 x^{2} + 5$
58265	Find the Critical Points	F(t)=Ue^t+Ve^(-t)	$F (t) = U e^{t} + V e^{- t}$
58266	Find the Critical Points	f(x)=2x-6	$f (x) = 2 x - 6$
58267	Find the Critical Points	f(x)=14x+1/x	$f (x) = 14 x + \frac{1}{x}$
58268	Find the Critical Points	f(x)=7xe^(6x)	$f (x) = 7 x e^{6 x}$
58269	Find the Critical Points	f(x)=x^4-6x^3+4x^2+pi	$f (x) = x^{4} - 6 x^{3} + 4 x^{2} + π$
58270	Find the Critical Points	r(t)=(36t)/(t^2+324)	$r (t) = \frac{36 t}{t^{2} + 324}$
58271	Find the Critical Points	f(x)=(100x^2-9)/x	$f (x) = \frac{100 x^{2} - 9}{x}$
58272	Find the Critical Points	f(x)=x^4-18x^2+3	$f (x) = x^{4} - 18 x^{2} + 3$
58273	Find the Critical Points	f(x)=x^3-3x^2-24x-2	$f (x) = x^{3} - 3 x^{2} - 24 x - 2$
58274	Find the Critical Points	f(x)=(x-7)e^(-6x)	$f (x) = (x - 7) e^{- 6 x}$
58275	Find the Critical Points	f(x)=-6x^2+6x-2	$f (x) = - 6 x^{2} + 6 x - 2$
58276	Find the Critical Points	f(x)=2x^3-36x^2+16x-10	$f (x) = 2 x^{3} - 36 x^{2} + 16 x - 10$
58277	Find the Critical Points	f(x)=x^3-4x^2-16x+7	$f (x) = x^{3} - 4 x^{2} - 16 x + 7$
58278	Find the Critical Points	g(x)=2x^2-52x	$g (x) = 2 x^{2} - 52 x$
58279	Find the Critical Points	g(x)=1/x+ natural log of x	$g (x) = \frac{1}{x} + \ln (x)$
58280	Find the Critical Points	f(x)=-2x^3+45x^2-300x	$f (x) = - 2 x^{3} + 45 x^{2} - 300 x$
58281	Find the Critical Points	f(x)=x^3-3x^2-144x+4	$f (x) = x^{3} - 3 x^{2} - 144 x + 4$
58282	Find the Critical Points	f(x)=2x^3-36x^2+192x-1	$f (x) = 2 x^{3} - 36 x^{2} + 192 x - 1$
58283	Find the Critical Points	k(x)=3x^4-5x^3+5	$k (x) = 3 x^{4} - 5 x^{3} + 5$
58284	Find the Critical Points	f(x)=(x-3)^(6/7)	$f (x) = {(x - 3)}^{\frac{6}{7}}$
58285	Find the Critical Points	f(x)=3x^2-96x	$f (x) = 3 x^{2} - 96 x$
58286	Find the Critical Points	f(x)=12x^4-32x^3+24x^2+3	$f (x) = 12 x^{4} - 32 x^{3} + 24 x^{2} + 3$
58287	Find the Critical Points	f(x) = square root of x^2-100	$f (x) = \sqrt{x^{2} - 100}$
58288	Find the Critical Points	f(x)=(8x)/(x^2+64)	$f (x) = \frac{8 x}{x^{2} + 64}$
58289	Find the Critical Points	A(t)=0.0285t^3-0.441t^2+1.702t+6.23	$A (t) = 0.0285 t^{3} - 0.441 t^{2} + 1.702 t + 6.23$
58290	Find the Critical Points	f(x)=8+1/4x-1/2x^2	$f (x) = 8 + \frac{1}{4} x - \frac{1}{2} x^{2}$
58291	Find the Critical Points	f(x)=-9x^2+72x-4	$f (x) = - 9 x^{2} + 72 x - 4$
58292	Find the Critical Points	f(x)=-0.866x+sin(x)	$f (x) = - 0.866 x + \sin (x)$
58293	Find the Critical Points	f(x)=-1/3x^3-4x^2-15x-12	$f (x) = - \frac{1}{3} x^{3} - 4 x^{2} - 15 x - 12$
58294	Find the Critical Points	f(x)=1/3x^3-3x^2+9x-5	$f (x) = \frac{1}{3} x^{3} - 3 x^{2} + 9 x - 5$
58295	Find the Critical Points	f(x)=12x^3-135x^2-144x+5	$f (x) = 12 x^{3} - 135 x^{2} - 144 x + 5$
58296	Find the Critical Points	f(x)=x^3-243x	$f (x) = x^{3} - 243 x$
58297	Find the Critical Points	f(x)=12x^5+45x^4-200x^3+1	$f (x) = 12 x^{5} + 45 x^{4} - 200 x^{3} + 1$
58298	Find the Critical Points	f(x)=(3e^x)/(x^5)	$f (x) = \frac{3 e^{x}}{x^{5}}$
58299	Find the Critical Points	f(x)=64x^3-12x+9	$f (x) = 64 x^{3} - 12 x + 9$
58300	Find the Critical Points	f(x)=-x^3-9x	$f (x) = - x^{3} - 9 x$