Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
58301	Find the Critical Points	f(x)=x/(x^2+121)	$f (x) = \frac{x}{x^{2} + 121}$
58302	Find the Critical Points	f(x)=2x^3-9x^2-24x-9	$f (x) = 2 x^{3} - 9 x^{2} - 24 x - 9$
58303	Find the Critical Points	f(x)=cos(pix)	$f (x) = \cos (π x)$
58304	Find the Critical Points	f(x)=-x^3+6x^2-12x+5	$f (x) = - x^{3} + 6 x^{2} - 12 x + 5$
58305	Find the Critical Points	f(x)=8x+x^2	$f (x) = 8 x + x^{2}$
58306	Find the Critical Points	f(x)=x^2-6x+12	$f (x) = x^{2} - 6 x + 12$
58307	Find the Critical Points	f(x)=9-3x^2	$f (x) = 9 - 3 x^{2}$
58308	Find the Critical Points	f(x)=(64x^2+25)/x	$f (x) = \frac{64 x^{2} + 25}{x}$
58309	Find the Critical Points	f(x)=-x^2-5x-1	$f (x) = - x^{2} - 5 x - 1$
58310	Find the Critical Points	f(x)=\|3x-1\|	$f (x) = \| 3 x - 1 \|$
58311	Find the Critical Points	f(x)=x^4-72x^2-9	$f (x) = x^{4} - 72 x^{2} - 9$
58312	Find the Critical Points	f(x)=x^3-300x	$f (x) = x^{3} - 300 x$
58313	Find the Critical Points	f(x)=(x^(1/2))(x+8)	$f (x) = (x^{\frac{1}{2}}) (x + 8)$
58314	Find the Critical Points	f(x)=3x^3-6	$f (x) = 3 x^{3} - 6$
58315	Find the Critical Points	f(x)=2x^2-1000 square root of x	$f (x) = 2 x^{2} - 1000 \sqrt{x}$
58316	Find the Critical Points	f(x)=8x^3-18x^2-240x+9	$f (x) = 8 x^{3} - 18 x^{2} - 240 x + 9$
58317	Find the Critical Points	f(x)=2x^3-33x^2+60x-4	$f (x) = 2 x^{3} - 33 x^{2} + 60 x - 4$
58318	Find the Critical Points	f(x)=x^3-12x^2+48x-7	$f (x) = x^{3} - 12 x^{2} + 48 x - 7$
58319	Find the Critical Points	f(x)=2x^3-3x^2+8	$f (x) = 2 x^{3} - 3 x^{2} + 8$
58320	Find the Critical Points	f(x)=2x^3-6x^2-48x-6	$f (x) = 2 x^{3} - 6 x^{2} - 48 x - 6$
58321	Find the Critical Points	f(x)=10x^3+30x^2-240x	$f (x) = 10 x^{3} + 30 x^{2} - 240 x$
58322	Find the Critical Points	f(x)=-2x^3-18x^2-54x-57	$f (x) = - 2 x^{3} - 18 x^{2} - 54 x - 57$
58323	Find the Critical Points	f(x)=2.7+2.8x-0.9x^2	$f (x) = 2.7 + 2.8 x - 0.9 x^{2}$
58324	Find the Critical Points	f(x)=x+ cube root of 2-x^3	$f (x) = x + \sqrt[3]{2 - x^{3}}$
58325	Find the Critical Points	f(x)=28x-7x^2	$f (x) = 28 x - 7 x^{2}$
58326	Find the Critical Points	f(x)=3x^3-6x^2+7	$f (x) = 3 x^{3} - 6 x^{2} + 7$
58327	Find the Critical Points	f(x)=20x^3-3x^5+6	$f (x) = 20 x^{3} - 3 x^{5} + 6$
58328	Find the Critical Points	f(x)=x^3-48x-1	$f (x) = x^{3} - 48 x - 1$
58329	Find the Critical Points	f(x)=-x^2-6x-4	$f (x) = - x^{2} - 6 x - 4$
58330	Find the Critical Points	f(x)=-x^3-3x^2-3x+2	$f (x) = - x^{3} - 3 x^{2} - 3 x + 2$
58331	Find the Critical Points	f(x)=7-5x^4	$f (x) = 7 - 5 x^{4}$
58332	Find the Critical Points	f(x)=x^5+5x^4+97	$f (x) = x^{5} + 5 x^{4} + 97$
58333	Find the Critical Points	f(x)=x^4+16x^3-26x^2+1	$f (x) = x^{4} + 16 x^{3} - 26 x^{2} + 1$
58334	Find the Critical Points	f(x)=-7 square root of 2cos(x)+7sin(x)^2	$f (x) = - 7 \sqrt{2} \cos (x) + 7 \sin^{2} (x)$
58335	Find the Critical Points	f(x)=-x^2+18 natural log of x	$f (x) = - x^{2} + 18 \ln (x)$
58336	Find the Critical Points	f(x)=6x^3-48x^2+30x+5	$f (x) = 6 x^{3} - 48 x^{2} + 30 x + 5$
58337	Find the Critical Points	f(x)=4x^3-3x^2+1	$f (x) = 4 x^{3} - 3 x^{2} + 1$
58338	Find the Critical Points	f(x)=6x-12	$f (x) = 6 x - 12$
58339	Find the Critical Points	f(x)=-5x-12	$f (x) = - 5 x - 12$
58340	Find the Critical Points	f(x)=6x^3-75x^2+168x+2	$f (x) = 6 x^{3} - 75 x^{2} + 168 x + 2$
58341	Find the Critical Points	f(x)=-2x^3+42x^2-270x	$f (x) = - 2 x^{3} + 42 x^{2} - 270 x$
58342	Find the Critical Points	f(t)=5t+1/t	$f (t) = 5 t + \frac{1}{t}$
58343	Find the Critical Points	f(x)=4x^2+5x+2	$f (x) = 4 x^{2} + 5 x + 2$
58344	Find the Critical Points	f(x)=2x^3+33x^2+168x+10	$f (x) = 2 x^{3} + 33 x^{2} + 168 x + 10$
58345	Find the Critical Points	f(x)=3cos(2x)	$f (x) = 3 \cos (2 x)$
58346	Find the Critical Points	f(x)=8x^3-78x^2-288x+7	$f (x) = 8 x^{3} - 78 x^{2} - 288 x + 7$
58347	Find the Critical Points	f(x)=8+1/3x-1/2x^2	$f (x) = 8 + \frac{1}{3} x - \frac{1}{2} x^{2}$
58348	Find the Critical Points	f(x)=2x^3+6x^2-90x-1	$f (x) = 2 x^{3} + 6 x^{2} - 90 x - 1$
58349	Find the Critical Points	f(x)=x^2-10x-4	$f (x) = x^{2} - 10 x - 4$
58350	Find the Critical Points	f(x)=1/3x^3-x^2-3x+2	$f (x) = \frac{1}{3} x^{3} - x^{2} - 3 x + 2$
58351	Find the Critical Points	f(x)=6x^2-3x+3	$f (x) = 6 x^{2} - 3 x + 3$
58352	Find the Critical Points	f(x)=x square root of 22-x^2	$f (x) = x \sqrt{22 - x^{2}}$
58353	Find the Critical Points	f(x)=6x natural log of x	$f (x) = 6 x \ln (x)$
58354	Find the Critical Points	f(x)=e^x-6x^2	$f (x) = e^{x} - 6 x^{2}$
58355	Find the Critical Points	f(x)=-x^3+27x-58	$f (x) = - x^{3} + 27 x - 58$
58356	Find the Critical Points	f(x)=4x+7x^(4/7)	$f (x) = 4 x + 7 x^{\frac{4}{7}}$
58357	Find the Critical Points	g(x)=18/(x^2+2)	$g (x) = \frac{18}{x^{2} + 2}$
58358	Find the Critical Points	f(x)=8 square root of 3cos(x)+8sin(x)	$f (x) = 8 \sqrt{3} \cos (x) + 8 \sin (x)$
58359	Find the Critical Points	f(x)=x^3-4.5x^2-12x+20	$f (x) = x^{3} - 4.5 x^{2} - 12 x + 20$
58360	Find the Critical Points	f(x)=7cos(x)+2x	$f (x) = 7 \cos (x) + 2 x$
58361	Find the Critical Points	f(x)=-2x^(3/2)+9x+15	$f (x) = - 2 x^{\frac{3}{2}} + 9 x + 15$
58362	Find the Critical Points	f(x)=4x^3-3x^2+6	$f (x) = 4 x^{3} - 3 x^{2} + 6$
58363	Find the Critical Points	g(x)=-x^3+3x^4	$g (x) = - x^{3} + 3 x^{4}$
58364	Find the Critical Points	g(y)=(y-2)/((y^2-2y+4)^2)	$g (y) = \frac{y - 2}{{(y^{2} - 2 y + 4)}^{2}}$
58365	Find the Critical Points	g(t)=0.2t^3-2.1t^2+6.0t+40	$g (t) = 0.2 t^{3} - 2.1 t^{2} + 6 t + 40$
58366	Find the Critical Points	f(x)=13x+1/x	$f (x) = 13 x + \frac{1}{x}$
58367	Find the Critical Points	f(x)=12x^3-135x^2-144x+4	$f (x) = 12 x^{3} - 135 x^{2} - 144 x + 4$
58368	Find the Critical Points	f(x)=5-\|x-5\|	$f (x) = 5 - \| x - 5 \|$
58369	Find the Critical Points	f(x)=(32x)/(x^2+16)	$f (x) = \frac{32 x}{x^{2} + 16}$
58370	Find the Critical Points	f(x)=-(32x)/(x^2+16)	$f (x) = - \frac{32 x}{x^{2} + 16}$
58371	Find the Critical Points	f(x)=27x^3-9x+2	$f (x) = 27 x^{3} - 9 x + 2$
58372	Find the Critical Points	f(x)=-(x^3)/3+81x	$f (x) = - \frac{x^{3}}{3} + 81 x$
58373	Find the Critical Points	f(x)=12x+13x^(12/13)	$f (x) = 12 x + 13 x^{\frac{12}{13}}$
58374	Find the Critical Points	f(x)=2/3x^3-x^2-144x-16	$f (x) = \frac{2}{3} x^{3} - x^{2} - 144 x - 16$
58375	Find the Critical Points	f(x)=-2(x-3)^(6/7)+9	$f (x) = - 2 {(x - 3)}^{\frac{6}{7}} + 9$
58376	Find the Critical Points	f(x)=8x^3-6x+8	$f (x) = 8 x^{3} - 6 x + 8$
58377	Find the Critical Points	f(x)=3x^2-5x-4	$f (x) = 3 x^{2} - 5 x - 4$
58378	Find the Critical Points	f(x)=sin(x) , 0<=x<pi/2	$f (x) = \sin (x)$ , $0 \leq x < \frac{π}{2}$
58379	Find the Critical Points	f(x)=x^10e^x-4	$f (x) = x^{10} e^{x} - 4$
58380	Find the Critical Points	f(x)=0.05x+10+320/x	$f (x) = 0.05 x + 10 + \frac{320}{x}$
58381	Find the Critical Points	f(x)=x^4+16x^3+54x^2+1	$f (x) = x^{4} + 16 x^{3} + 54 x^{2} + 1$
58382	Find the Critical Points	p(x)=45x^2-492x-2466	$p (x) = 45 x^{2} - 492 x - 2466$
58383	Find the Critical Points	f(x)=2x^3-15x^2	$f (x) = 2 x^{3} - 15 x^{2}$
58384	Find the Critical Points	h(p)=(p-3)/(p^2+5)	$h (p) = \frac{p - 3}{p^{2} + 5}$
58385	Find the Critical Points	f(x)=8x^3-18x^2-240x+7	$f (x) = 8 x^{3} - 18 x^{2} - 240 x + 7$
58386	Find the Critical Points	f(x)=3-8x	$f (x) = 3 - 8 x$
58387	Find the Critical Points	f(x)=(x-9)^3	$f (x) = {(x - 9)}^{3}$
58388	Find the Critical Points	f(x)=(49x^2+36)/x	$f (x) = \frac{49 x^{2} + 36}{x}$
58389	Evaluate Using Scientific Notation	(110^-14)/(4.510^-4)	$\frac{1 \cdot 10^{- 14}}{4.5 \cdot 10^{- 4}}$
58390	Evaluate Using Scientific Notation	(6.510^-11)/(3.410^-7)	$\frac{6.5 \cdot 10^{- 11}}{3.4 \cdot 10^{- 7}}$
58391	Evaluate Using Scientific Notation	2(40.1)/(6.02210^23)	$2 \cdot \frac{(40.1)}{(6.022 \cdot 10^{23})}$
58392	Evaluate Using Scientific Notation	(410^9)÷(1.910^6)	$4 \cdot 10^{9} \div (1.9 \cdot 10^{6})$
58393	Evaluate Using Scientific Notation	(2.210^-4m)(2.5*10^-3m)	$(2.2 \cdot 10^{- 4} m) \cdot (2.5 \cdot 10^{- 3} m)$
58394	Evaluate Using Scientific Notation	(8.810^6)/(1.110^-1)	$\frac{8.8 \cdot 10^{6}}{1.1 \cdot 10^{- 1}}$
58395	Evaluate Using Scientific Notation	(3.4)(10^-5)	$(3.4) (10^{- 5})$
58396	Evaluate Using Scientific Notation	6.2410^-3-3.1510^4	$6.24 \cdot 10^{- 3} - 3.15 \cdot 10^{4}$
58397	Evaluate Using Scientific Notation	(610^12)(2.110^4)	$(6 \cdot 10^{12}) (2.1 \cdot 10^{4})$
58398	Evaluate Using Scientific Notation	(110^-14)/(1.810^-5)	$\frac{(1 \cdot 10^{- 14})}{1.8 \cdot 10^{- 5}}$
58399	Evaluate Using Scientific Notation	6.2410^-3-2.8*10^-4	$6.24 \cdot 10^{- 3} \cdot - 2.8 \cdot 10^{- 4}$
58400	Evaluate Using Scientific Notation	(-4.610^-28)/(2.08810^-9)	$\frac{(- 4.6 \cdot 10^{- 28})}{2.088 \cdot 10^{- 9}}$