Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
63601	Find dx/dy	x^2+xy-3y=3	$x^{2} + x y - 3 y = 3$
63602	Find dt/dy	y=tan( square root of 3t)	$y = \tan (\sqrt{3 t})$
63603	Find dv/dt	v=Ve^(-(t/T))	$v = V e^{- (\frac{t}{T})}$
63604	Find dv/dx	v=(xy)/(x-y)	$v = \frac{x y}{x - y}$
63605	Find dw/dz	w = square root of 1+ze^z	$w = \sqrt{1 + z e^{z}}$
63606	Find dw/dz	w=5z^2e^z	$w = 5 z^{2} e^{z}$
63607	Find dx/dt	x=tsin(t)	$x = t \sin (t)$
63608	Find dx/dy	(-3+x)y'=8y	$(- 3 + x) y' = 8 y$
63609	Find dx/dy	x^2-y^2=16	$x^{2} - y^{2} = 16$
63610	Find dx/dy	xy=1	$x y = 1$
63611	Find dR/dt	(dR)/(dt)=3.17-6.671/t	$\frac{d R}{d t} = 3.17 - \frac{6.671}{t}$
63612	Find dr/dv	v=4/3pir^3	$v = \frac{4}{3} π r^{3}$
63613	Find dp/dq	p=(10+sec(q))/(10-sec(q))	$p = \frac{10 + \sec (q)}{10 - \sec (q)}$
63614	Find dp/dq	p=(6 sixth root of q)/(1-q)	$p = \frac{6 \sqrt[6]{q}}{1 - q}$
63615	Find dp/dq	p=(7+sec(q))/(7-sec(q))	$p = \frac{7 + \sec (q)}{7 - \sec (q)}$
63616	Find dp/dq	p=(sin(q)+cos(q))/(cos(q))	$p = \frac{\sin (q) + \cos (q)}{\cos (q)}$
63617	Find dp/dq	p=(sin(q)+cos(q))/(sin(q))	$p = \frac{\sin (q) + \cos (q)}{\sin (q)}$
63618	Find the Value Using the Unit Circle	210 degrees	$210 °$
63619	Find the x and y Intercepts	f(x)=(x-8)(x^2-16x-128)	$f (x) = (x - 8) (x^{2} - 16 x - 128)$
63620	Find the x and y Intercepts	f(x)=2x^4-12x^2	$f (x) = 2 x^{4} - 12 x^{2}$
63621	Find the x and y Intercepts	f(x)=2x-1	$f (x) = 2 x - 1$
63622	Find the x and y Intercepts	f(x)=3x^2-12x+13	$f (x) = 3 x^{2} - 12 x + 13$
63623	Find the x and y Intercepts	f(x)=3x^4-4x^3	$f (x) = 3 x^{4} - 4 x^{3}$
63624	Find the x and y Intercepts	f(x)=(6x-5)/x	$f (x) = \frac{6 x - 5}{x}$
63625	Find the x and y Intercepts	f(x)=(2-x)e^x	$f (x) = (2 - x) e^{x}$
63626	Find the x and y Intercepts	f(x)=x^3-12x+2	$f (x) = x^{3} - 12 x + 2$
63627	Find the x and y Intercepts	f(x)=x-2sin(x)	$f (x) = x - 2 \sin (x)$
63628	Find the x and y Intercepts	f(x)=x^2+1	$f (x) = x^{2} + 1$
63629	Find the x and y Intercepts	f(x)=x square root of 7-x	$f (x) = x \sqrt{7 - x}$
63630	Find the x and y Intercepts	f(x)=x^(5/3)-5x^(2/3)	$f (x) = x^{\frac{5}{3}} - 5 x^{\frac{2}{3}}$
63631	Find the x and y Intercepts	f(x)=3x-4	$f (x) = 3 x - 4$
63632	Find the x and y Intercepts	f(x)=5x^3-23x^2+32x-12	$f (x) = 5 x^{3} - 23 x^{2} + 32 x - 12$
63633	Find the x and y Intercepts	f(x)=5x^4-30x^2	$f (x) = 5 x^{4} - 30 x^{2}$
63634	Find the x and y Intercepts	f(x)=6x^(2/3)-4x	$f (x) = 6 x^{\frac{2}{3}} - 4 x$
63635	Find the x and y Intercepts	f(x)=6x^6-13x^5	$f (x) = 6 x^{6} - 13 x^{5}$
63636	Find the x and y Intercepts	f(x)=4x^6-5x^5	$f (x) = 4 x^{6} - 5 x^{5}$
63637	Convert to Radical Form	1/(x^(1/2))	$\frac{1}{x^{\frac{1}{2}}}$
63638	Convert to Radical Form	(8)^(5/2)	${(8)}^{\frac{5}{2}}$
63639	Find the Reference Angle	-(49pi)/12	$- \frac{49 π}{12}$
63640	Find the Reference Angle	555 degrees	$555 °$
63641	Find the Reference Angle	236 degrees	$236 °$
63642	Evaluate the Derivative at x=1	f(x)=2x^(e^x) x=1	$f (x) = 2 x^{e^{x}}$ $x = 1$
63643	Evaluate the Derivative at x=1	f(x)=x^5-1/(15x^5) , x=1	$f (x) = x^{5} - \frac{1}{15 x^{5}}$ , $x = 1$
63644	Evaluate the Derivative at x=-12	f(x)=-10/x x=-12	$f (x) = - \frac{10}{x}$ $x = - 12$
63645	Find the Antiderivative	(dy)/(dx)=1/3x(y-2)^2	$\frac{d y}{d x} = \frac{1}{3} x {(y - 2)}^{2}$
63646	Find the Antiderivative	(dy)/(dx)=(x^2)/y	$\frac{d y}{d x} = \frac{x^{2}}{y}$
63647	Find the Antiderivative	(dy)/(dx)=(y^2)/(x-1)	$\frac{d y}{d x} = \frac{y^{2}}{x - 1}$
63648	Find the Absolute Max and Min over the Interval	f(x)=x^3-6x^2+9x+5 , [-1,6]	$f (x) = x^{3} - 6 x^{2} + 9 x + 5$ , $[- 1, 6]$
63649	Find the Absolute Max and Min over the Interval	f(x)=x+9/x , [0.2,12]	$f (x) = x + \frac{9}{x}$ , $[0.2, 12]$
63650	Find the Absolute Max and Min over the Interval	f(x)=x square root of 36-x^2 , [-1,6]	$f (x) = x \sqrt{36 - x^{2}}$ , $[- 1, 6]$
63651	Find the Absolute Max and Min over the Interval	f(x)=x^2+3x-4 ; [-3,2]	$f (x) = x^{2} + 3 x - 4$ ; $[- 3, 2]$
63652	Find the Absolute Max and Min over the Interval	f(x)=x^2+5x , [-4,0]	$f (x) = x^{2} + 5 x$ , $[- 4, 0]$
63653	Find the Absolute Max and Min over the Interval	f(x)=-x^2+9 , -4<=x<=3	$f (x) = - x^{2} + 9$ , $- 4 \leq x \leq 3$
63654	Find the Absolute Max and Min over the Interval	f(x)=x^2-9 , -3<=x<=4	$f (x) = x^{2} - 9$ , $- 3 \leq x \leq 4$
63655	Find the Absolute Max and Min over the Interval	f(x)=x^3-3/2x^2 , [-3,3]	$f (x) = x^{3} - \frac{3}{2} x^{2}$ , $[- 3, 3]$
63656	Find the Absolute Max and Min over the Interval	f(x)=8x-16 ; [1,5]	$f (x) = 8 x - 16$ ; $[1, 5]$
63657	Find the Absolute Max and Min over the Interval	f(x)=4x^3-12x^2-96x+7 , [-3,5]	$f (x) = 4 x^{3} - 12 x^{2} - 96 x + 7$ , $[- 3, 5]$
63658	Find the Absolute Max and Min over the Interval	f(x)=2x^3+3x^2-120x+5 ; [5,8]	$f (x) = 2 x^{3} + 3 x^{2} - 120 x + 5$ ; $[5, 8]$
63659	Find the Absolute Max and Min over the Interval	f(x)=12+2x-x^2 , [0,5]	$f (x) = 12 + 2 x - x^{2}$ , $[0, 5]$
63660	Find the Absolute Max and Min over the Interval	f(x)=(4x)/(x^2+1) ; [-3,0]	$f (x) = \frac{4 x}{x^{2} + 1}$ ; $[- 3, 0]$
63661	Find the Critical Points	(x+3)^(6/7)	${(x + 3)}^{\frac{6}{7}}$
63662	Find the Critical Points	(x^3)/3-25x	$\frac{x^{3}}{3} - 25 x$
63663	Find the Critical Points	(x^3)/3-81x	$\frac{x^{3}}{3} - 81 x$
63664	Find the Critical Points	(16x)/(x^2+64)	$\frac{16 x}{x^{2} + 64}$
63665	Find the Critical Points	(3x)/(x^2+9)	$\frac{3 x}{x^{2} + 9}$
63666	Find the Critical Points	(5x)/(x^2+1)	$\frac{5 x}{x^{2} + 1}$
63667	Find the Critical Points	(5x)/(x^2+25)	$\frac{5 x}{x^{2} + 25}$
63668	Find the Sample Standard Deviation	10 15 8 16 14 12 9 12 14 10	$10$ $15$ $8$ $16$ $14$ $12$ $9$ $12$ $14$ $10$
63669	Find the Critical Points	3x^3-11x^2+8x+4	$3 x^{3} - 11 x^{2} + 8 x + 4$
63670	Find the Critical Points	3x^2-18x+15	$3 x^{2} - 18 x + 15$
63671	Find the Critical Points	3x^(5/3)-15x^(2/3)	$3 x^{\frac{5}{3}} - 15 x^{\frac{2}{3}}$
63672	Find the Critical Points	2x^2-8 square root of x	$2 x^{2} - 8 \sqrt{x}$
63673	Find the Critical Points	2x^2+500/x	$2 x^{2} + \frac{500}{x}$
63674	Find the Critical Points	2x^2-5x+1	$2 x^{2} - 5 x + 1$
63675	Find the Critical Points	16x^4+125x	$16 x^{4} + 125 x$
63676	Find the Critical Points	0.05x+20+320/x	$0.05 x + 20 + \frac{320}{x}$
63677	Find the Critical Points	1+1/x+1/(x^2)	$1 + \frac{1}{x} + \frac{1}{x^{2}}$
63678	Find the Critical Points	10sec(theta)+5tan(theta)	$10 \sec (θ) + 5 \tan (θ)$
63679	Find the Critical Points	square root of 1-x^2	$\sqrt{1 - x^{2}}$
63680	Find the Critical Points	7x+5x^-1	$7 x + 5 x^{- 1}$
63681	Find the Critical Points	5x^2+3x-2	$5 x^{2} + 3 x - 2$
63682	Find the Critical Points	60x^3-30x	$60 x^{3} - 30 x$
63683	Find the Critical Points	6x(x^2-1)^2	$6 x {(x^{2} - 1)}^{2}$
63684	Find the Critical Points	3x^3-36x^2+135x+11	$3 x^{3} - 36 x^{2} + 135 x + 11$
63685	Find the Critical Points	4x^2-3x+2	$4 x^{2} - 3 x + 2$
63686	Find the Critical Points	4x^3-51x^2-180x+11	$4 x^{3} - 51 x^{2} - 180 x + 11$
63687	Find the Critical Points	e^x-2x	$e^{x} - 2 x$
63688	Find the Critical Points	-cos(x)	$- \cos (x)$
63689	Find the Critical Points	t square root of 16-t	$t \sqrt{16 - t}$
63690	Find the Tangent Line at x=1	f(x)=1+3e^x ; x=1	$f (x) = 1 + 3 e^{x}$ ; $x = 1$
63691	Find the Tangent Line at x=p/4	f(x)=sec(x) , x=pi/4	$f (x) = \sec (x)$ , $x = \frac{π}{4}$
63692	Find the Tangent Line at (0,2)	f(x)=e^x+3x ; (0,2)	$f (x) = e^{x} + 3 x$ ; $(0, 2)$
63693	Find the Critical Points	x^3e^(-7x)	$x^{3} e^{- 7 x}$
63694	Find the Critical Points	x^3-9x^2+24x-10	$x^{3} - 9 x^{2} + 24 x - 10$
63695	Find the Critical Points	x^4-50x^2+625	$x^{4} - 50 x^{2} + 625$
63696	Find the Critical Points	xe^(1-x^2)	$x e^{(1 - x^{2})}$
63697	Find the Critical Points	x^2-x+1	$x^{2} - x + 1$
63698	Find the Critical Points	-x^2-2x-2	$- x^{2} - 2 x - 2$
63699	Find the Inverse	7x-3	$7 x - 3$
63700	Find the Inverse	5 square root of x	$5 \sqrt{x}$