Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
57601	Find the Vertex	-2x^2-12x-7	$- 2 x^{2} - 12 x - 7$
57602	Find the Vertex	-16x^2+128x	$- 16 x^{2} + 128 x$
57603	Solve by Graphing	24x-19sin(x)=3	$24 x - 19 \sin (x) = 3$
57604	Solve by Graphing	16-32sin(2x)=0	$16 - 32 \sin (2 x) = 0$
57605	Solve by Graphing	2x^3+x+1=0	$2 x^{3} + x + 1 = 0$
57606	Solve by Graphing	x^3-9x-4=0	$x^{3} - 9 x - 4 = 0$
57607	Solve by Graphing	x+e^x=0	$x + e^{x} = 0$
57608	Solve by Graphing	x^2-9x+18=0	$x^{2} - 9 x + 18 = 0$
57609	Solve by Graphing	x^2+10x+21=0	$x^{2} + 10 x + 21 = 0$
57610	Solve by Graphing	x^2+14x+45=0	$x^{2} + 14 x + 45 = 0$
57611	Solve by Graphing	( square root of 2)/2csc(x)-1=0	$\frac{\sqrt{2}}{2} \csc (x) - 1 = 0$
57612	Solve by Graphing	e^(1/4x)=\|4x\|	$e^{\frac{1}{4} x} = \| 4 x \|$
57613	Solve by Graphing	x^3-x^2-4x+4=0	$x^{3} - x^{2} - 4 x + 4 = 0$
57614	Solve by Graphing	x^4-26x^2+25=0	$x^{4} - 26 x^{2} + 25 = 0$
57615	Find Where Increasing/Decreasing Using Derivatives	f(x)=1/3x^3-3/2x^2-4x+2	$f (x) = \frac{1}{3} x^{3} - \frac{3}{2} x^{2} - 4 x + 2$
57616	Find Where Increasing/Decreasing Using Derivatives	f(x)=1/3x^3-5/2x^2+6x-11	$f (x) = \frac{1}{3} x^{3} - \frac{5}{2} x^{2} + 6 x - 11$
57617	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^(1/5)(x+2)	$f (x) = x^{\frac{1}{5}} (x + 2)$
57618	Find Where Increasing/Decreasing Using Derivatives	f(x)=-x^3-2x^2+15x+10	$f (x) = - x^{3} - 2 x^{2} + 15 x + 10$
57619	Find Where Increasing/Decreasing Using Derivatives	f(x)=1/3x^3-3/2x^2-18x+9	$f (x) = \frac{1}{3} x^{3} - \frac{3}{2} x^{2} - 18 x + 9$
57620	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^4-18x^2+9	$f (x) = x^{4} - 18 x^{2} + 9$
57621	Find Where Increasing/Decreasing Using Derivatives	f(x)=(x-1)e^(-9x)	$f (x) = (x - 1) e^{- 9 x}$
57622	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^5-5x^4+93	$f (x) = x^{5} - 5 x^{4} + 93$
57623	Find Where Increasing/Decreasing Using Derivatives	f(x)=4x^3-3x^2-36x+7	$f (x) = 4 x^{3} - 3 x^{2} - 36 x + 7$
57624	Find Where Increasing/Decreasing Using Derivatives	f(x)=(x-2)e^(-4x)	$f (x) = (x - 2) e^{- 4 x}$
57625	Find Where Increasing/Decreasing Using Derivatives	f(x)=-2x^3+12x^2-24x+15	$f (x) = - 2 x^{3} + 12 x^{2} - 24 x + 15$
57626	Find Where Increasing/Decreasing Using Derivatives	f(x)=1/2x^4-x^2	$f (x) = \frac{1}{2} x^{4} - x^{2}$
57627	Find Where Increasing/Decreasing Using Derivatives	f(x)=e^(-1.5x^2)	$f (x) = e^{- 1.5 x^{2}}$
57628	Find Where Increasing/Decreasing Using Derivatives	f(x)=(x-7)^(6/7)	$f (x) = {(x - 7)}^{\frac{6}{7}}$
57629	Find Where Increasing/Decreasing Using Derivatives	f(x)=7x^9-9x^7	$f (x) = 7 x^{9} - 9 x^{7}$
57630	Find Where Increasing/Decreasing Using Derivatives	h(x)=147x-x^3	$h (x) = 147 x - x^{3}$
57631	Find Where Increasing/Decreasing Using Derivatives	f(x)=0.001x^3-0.02x^2+0.12x+0.02	$f (x) = 0.001 x^{3} - 0.02 x^{2} + 0.12 x + 0.02$
57632	Find Where Increasing/Decreasing Using Derivatives	f(x)=64x^2+54/x+2	$f (x) = 64 x^{2} + \frac{54}{x} + 2$
57633	Find Where Increasing/Decreasing Using Derivatives	f(x)=6x^5-5x^6	$f (x) = 6 x^{5} - 5 x^{6}$
57634	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3-2x^2+1	$f (x) = x^{3} - 2 x^{2} + 1$
57635	Find Where Increasing/Decreasing Using Derivatives	f(x)=2.8+5.2x-2.1x^2	$f (x) = 2.8 + 5.2 x - 2.1 x^{2}$
57636	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3-75x	$f (x) = x^{3} - 75 x$
57637	Find Where Increasing/Decreasing Using Derivatives	f(x)=-1/(x^2+2)	$f (x) = - \frac{1}{x^{2} + 2}$
57638	Find Where Increasing/Decreasing Using Derivatives	f(x) = square root of 6-x-x^2	$f (x) = \sqrt{6 - x - x^{2}}$
57639	Find Where Increasing/Decreasing Using Derivatives	f(x)=36x-3x^2	$f (x) = 36 x - 3 x^{2}$
57640	Find Where Increasing/Decreasing Using Derivatives	f(x)=3(x^2-75)^2	$f (x) = 3 {(x^{2} - 75)}^{2}$
57641	Find Where Increasing/Decreasing Using Derivatives	f(x)=xe^(-9x)	$f (x) = x e^{- 9 x}$
57642	Find Where Increasing/Decreasing Using Derivatives	f(x)=2e^(-x)cos(x)	$f (x) = 2 e^{- x} \cos (x)$
57643	Find Where Increasing/Decreasing Using Derivatives	g(t)=(9t)/(t^2+36)	$g (t) = \frac{9 t}{t^{2} + 36}$
57644	Find Where Increasing/Decreasing Using Derivatives	f(x)=12x^3-99x^2-108x+9	$f (x) = 12 x^{3} - 99 x^{2} - 108 x + 9$
57645	Find Where Increasing/Decreasing Using Derivatives	k(t)=(4t)/(3t^2+27)	$k (t) = \frac{4 t}{3 t^{2} + 27}$
57646	Find Where Increasing/Decreasing Using Derivatives	g(x)=(x-7)^(8/9)	$g (x) = {(x - 7)}^{\frac{8}{9}}$
57647	Find Where Increasing/Decreasing Using Derivatives	c(x)=0.05x+20+125/x	$c (x) = 0.05 x + 20 + \frac{125}{x}$
57648	Find Where Increasing/Decreasing Using Derivatives	f(x)=2x^3-6x^2+6x-4	$f (x) = 2 x^{3} - 6 x^{2} + 6 x - 4$
57649	Find Where Increasing/Decreasing Using Derivatives	f(x)=x square root of 18-x^2	$f (x) = x \sqrt{18 - x^{2}}$
57650	Find Where Increasing/Decreasing Using Derivatives	f(x)=10-7x	$f (x) = 10 - 7 x$
57651	Find Where Increasing/Decreasing Using Derivatives	f(x)=(x-5)e^(-x)	$f (x) = (x - 5) e^{- x}$
57652	Find Where Increasing/Decreasing Using Derivatives	h(x)=-x^3+x^2	$h (x) = - x^{3} + x^{2}$
57653	Find Where Increasing/Decreasing Using Derivatives	f(x)=10-20/(4x^2-52x+179)	$f (x) = 10 - \frac{20}{4 x^{2} - 52 x + 179}$
57654	Find Where Increasing/Decreasing Using Derivatives	f(x)=(3x-7)^2	$f (x) = {(3 x - 7)}^{2}$
57655	Find Where Increasing/Decreasing Using Derivatives	f(x)=-8x^3+24x+3	$f (x) = - 8 x^{3} + 24 x + 3$
57656	Find Where Increasing/Decreasing Using Derivatives	f(x)=7-9x	$f (x) = 7 - 9 x$
57657	Find Where Increasing/Decreasing Using Derivatives	f(x)=(x^2-7x+12)/(x^2-16)	$f (x) = \frac{x^{2} - 7 x + 12}{x^{2} - 16}$
57658	Find Where Increasing/Decreasing Using Derivatives	f(x)=1/3x^3-5x^2+25x+24	$f (x) = \frac{1}{3} x^{3} - 5 x^{2} + 25 x + 24$
57659	Find Where Increasing/Decreasing Using Derivatives	f(x)=e^x-6x^2	$f (x) = e^{x} - 6 x^{2}$
57660	Find Where Increasing/Decreasing Using Derivatives	g(x)=210+8x^3+x^4	$g (x) = 210 + 8 x^{3} + x^{4}$
57661	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3-7x^2-5x+9	$f (x) = x^{3} - 7 x^{2} - 5 x + 9$
57662	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3-8x^2-12x+8	$f (x) = x^{3} - 8 x^{2} - 12 x + 8$
57663	Find Where Increasing/Decreasing Using Derivatives	f(x)=8x^3-78x^2-288x+7	$f (x) = 8 x^{3} - 78 x^{2} - 288 x + 7$
57664	Find Where Increasing/Decreasing Using Derivatives	G(x)=-x^3-x^2+5x+1	$G (x) = - x^{3} - x^{2} + 5 x + 1$
57665	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3-12x+16	$f (x) = x^{3} - 12 x + 16$
57666	Find Where Increasing/Decreasing Using Derivatives	x(t)=5t^4-t^5	$x (t) = 5 t^{4} - t^{5}$
57667	Find Where Increasing/Decreasing Using Derivatives	f(x)=0.7x^3+1.7^(-1.8x)	$f (x) = 0.7 x^{3} + {1.7}^{- 1.8 x}$
57668	Find Where Increasing/Decreasing Using Derivatives	f(x)=-x^2+8 natural log of x	$f (x) = - x^{2} + 8 \ln (x)$
57669	Find Where Increasing/Decreasing Using Derivatives	f(x)=2x^3+12x^2+24x+15	$f (x) = 2 x^{3} + 12 x^{2} + 24 x + 15$
57670	Find Where Increasing/Decreasing Using Derivatives	f(x)=2x^3+3x^2-36x+9	$f (x) = 2 x^{3} + 3 x^{2} - 36 x + 9$
57671	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^4 natural log of x	$f (x) = x^{4} \ln (x)$
57672	Find Where Increasing/Decreasing Using Derivatives	f(x)=11x+1/x	$f (x) = 11 x + \frac{1}{x}$
57673	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^4+4x^3-8x^2+60	$f (x) = x^{4} + 4 x^{3} - 8 x^{2} + 60$
57674	Find Where Increasing/Decreasing Using Derivatives	f(x)=-3x^3+9x^2-9x+6	$f (x) = - 3 x^{3} + 9 x^{2} - 9 x + 6$
57675	Find Where Increasing/Decreasing Using Derivatives	g(x)=x^5+x^4	$g (x) = x^{5} + x^{4}$
57676	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3-4x^2-3x+6	$f (x) = x^{3} - 4 x^{2} - 3 x + 6$
57677	Find Where Increasing/Decreasing Using Derivatives	g(x)=-3x^4+30x^2-27	$g (x) = - 3 x^{4} + 30 x^{2} - 27$
57678	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3-9x^2+27x-7	$f (x) = x^{3} - 9 x^{2} + 27 x - 7$
57679	Find Where Increasing/Decreasing Using Derivatives	f(x)=3x^2-27	$f (x) = 3 x^{2} - 27$
57680	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^4-50x^2+9	$f (x) = x^{4} - 50 x^{2} + 9$
57681	Find Where Increasing/Decreasing Using Derivatives	f(x)=-0.001x^2+2x-5000	$f (x) = - 0.001 x^{2} + 2 x - 5000$
57682	Find Where Increasing/Decreasing Using Derivatives	g(x)=170+8x^3+x^4	$g (x) = 170 + 8 x^{3} + x^{4}$
57683	Find Where Increasing/Decreasing Using Derivatives	f(x)=5x^4-40x^3+3	$f (x) = 5 x^{4} - 40 x^{3} + 3$
57684	Find Where Increasing/Decreasing Using Derivatives	f(x)=64x^2+16/x+4	$f (x) = 64 x^{2} + \frac{16}{x} + 4$
57685	Find Where Increasing/Decreasing Using Derivatives	f(x)=1+1/x+9/(x^2)+1/(x^3)	$f (x) = 1 + \frac{1}{x} + \frac{9}{x^{2}} + \frac{1}{x^{3}}$
57686	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^4+20x^3+88x^2+9	$f (x) = x^{4} + 20 x^{3} + 88 x^{2} + 9$
57687	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3-27x+8	$f (x) = x^{3} - 27 x + 8$
57688	Find Where Increasing/Decreasing Using Derivatives	f(x)=8x^3-18x^2-240x+9	$f (x) = 8 x^{3} - 18 x^{2} - 240 x + 9$
57689	Find Where Increasing/Decreasing Using Derivatives	s(t)=t^3-6t^2+9t+2	$s (t) = t^{3} - 6 t^{2} + 9 t + 2$
57690	Find Where Increasing/Decreasing Using Derivatives	f(x)=12x^3-63x^2-72x+8	$f (x) = 12 x^{3} - 63 x^{2} - 72 x + 8$
57691	Find Where Increasing/Decreasing Using Derivatives	f(x)=-x^2+18 natural log of x	$f (x) = - x^{2} + 18 \ln (x)$
57692	Find Where Increasing/Decreasing Using Derivatives	f(x)=x+sin(2x)-2	$f (x) = x + \sin (2 x) - 2$
57693	Find Where Increasing/Decreasing Using Derivatives	f(x)=1/3x^3-5/2x^2+6x-8	$f (x) = \frac{1}{3} x^{3} - \frac{5}{2} x^{2} + 6 x - 8$
57694	Find Where Increasing/Decreasing Using Derivatives	f(x)=5x+x^2	$f (x) = 5 x + x^{2}$
57695	Find Where Increasing/Decreasing Using Derivatives	f(x)=-0.005x^2+8x-5000	$f (x) = - 0.005 x^{2} + 8 x - 5000$
57696	Find Where Increasing/Decreasing Using Derivatives	f(x)=4x^3-21x^2-24x+2	$f (x) = 4 x^{3} - 21 x^{2} - 24 x + 2$
57697	Find Where Increasing/Decreasing Using Derivatives	f(x)=2.8+1.4x-0.2x^2	$f (x) = 2.8 + 1.4 x - 0.2 x^{2}$
57698	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3-5x^2-8x+7	$f (x) = x^{3} - 5 x^{2} - 8 x + 7$
57699	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3-7x^2-5x+2	$f (x) = x^{3} - 7 x^{2} - 5 x + 2$
57700	Find Where Increasing/Decreasing Using Derivatives	K(t)=(16t)/(t^2+16)	$K (t) = \frac{16 t}{t^{2} + 16}$