Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
44601	Find the Derivative Using Chain Rule - d/dq	q=sin(t/( square root of t+2))	$q = \sin (\frac{t}{\sqrt{t + 2}})$
44602	Find the Derivative Using Chain Rule - d/dt	q=sin(t/( square root of t+2))	$q = \sin (\frac{t}{\sqrt{t + 2}})$
44603	Find the Asymptotes	y=(5x)/(x^2-9)	$y = \frac{5 x}{x^{2} - 9}$
44604	Convert to Logarithmic Form	cube root of 8=2	$\sqrt[3]{8} = 2$
44605	Find the Sum of the Series	0.1 , 0.2 , 0.3 , 0.4 , 0.5 , 0.6 , 0.7 , 0.8 , 0.9	$0.1$ , $0.2$ , $0.3$ , $0.4$ , $0.5$ , $0.6$ , $0.7$ , $0.8$ , $0.9$
44606	Find the Sum of the Series	2 , 4 , 6	$2$ , $4$ , $6$
44607	Find the Tangent Line at (p/2,5p)	y=10xsin(x) , (pi/2,5pi)	$y = 10 x \sin (x)$ , $(\frac{π}{2}, 5 π)$
44608	Find the Tangent Line at (9,36)	y=12 square root of x , (9,36)	$y = 12 \sqrt{x}$ , $(9, 36)$
44609	Solve Using the Quadratic Formula	2x^2-8x+1=0	$2 x^{2} - 8 x + 1 = 0$
44610	Find the Horizontal Tangent Line	81x^2+49y^2+1134x-882y+3969=0	$81 x^{2} + 49 y^{2} + 1134 x - 882 y + 3969 = 0$
44611	Find the Normal Line at @POINT	x^2+xy-y^2=11 , (3,2)	$x^{2} + x y - y^{2} = 11$ , $(3, 2)$
44612	Identify the Sequence	8 , -32 , 128 , -512	$8$ , $- 32$ , $128$ , $- 512$
44613	Find the Concavity	f(x)=x^3+3x+6	$f (x) = x^{3} + 3 x + 6$
44614	Find the Concavity	f(x)=(x+6)/(x^2-36)	$f (x) = \frac{x + 6}{x^{2} - 36}$
44615	Find the Derivative of the Integral	y=3arctan(x- square root of 1+x^2)	$y = 3 \arctan (x - \sqrt{1 + x^{2}})$
44616	Find the Derivative of the Integral	y=a^3+cos(x)^3	$y = a^{3} + \cos^{3} (x)$
44617	Find the Derivative of the Integral	y=(5-sec(x))/(tan(x))	$y = \frac{5 - \sec (x)}{\tan (x)}$
44618	Find the Concavity	f(x)=6-7x^4	$f (x) = 6 - 7 x^{4}$
44619	Find the Derivative of the Integral	(d^95)/(dx^95)(sin(x))	$\frac{d^{95}}{d x^{95}} (\sin (x))$
44620	Find the Derivative of the Integral	y = natural log of 7x^2+5y^2	$y = \ln (7 x^{2} + 5 y^{2})$
44621	Write in y=mx+b Form	y-2=1/4(x-4)	$y - 2 = \frac{1}{4} (x - 4)$
44622	Write in y=mx+b Form	y-3=1/6(x-9)	$y - 3 = \frac{1}{6} (x - 9)$
44623	Find the Critical Points	f(x)=36x-9x^2	$f (x) = 36 x - 9 x^{2}$
44624	Find the Critical Points	f(x)=(x+3)^(4/7)	$f (x) = {(x + 3)}^{\frac{4}{7}}$
44625	Find the Critical Points	f(x)=20x-2x^2	$f (x) = 20 x - 2 x^{2}$
44626	Find the Critical Points	f(x)=2x(4-x)^3	$f (x) = 2 x {(4 - x)}^{3}$
44627	Find the Critical Points	f(x)=3x(12-x)^3	$f (x) = 3 x {(12 - x)}^{3}$
44628	Find the Critical Points	f(x)=5x^3+15x+6	$f (x) = 5 x^{3} + 15 x + 6$
44629	Find the Critical Points	f(x)=x^6e^(-9x)	$f (x) = x^{6} e^{- 9 x}$
44630	Find the Critical Points	f(x)=x^3+3x^2-72x	$f (x) = x^{3} + 3 x^{2} - 72 x$
44631	Find the Critical Points	f(x)=17x+1/x	$f (x) = 17 x + \frac{1}{x}$
44632	Find the Critical Points	f(x)=x^-8 natural log of x	$f (x) = x^{- 8} \ln (x)$
44633	Find the Integral	e^(8x)	$e^{8 x}$
44634	Find the Integral	1/(e^(2y))	$\frac{1}{e^{2 y}}$
44635	Find the Integral	tan(theta)^2	$\tan^{2} (θ)$
44636	Convert to Interval Notation	x(2x-1)(3x+4)<=0	$x (2 x - 1) (3 x + 4) \leq 0$
44637	Find the Integral	xe^(3x)	$x e^{3 x}$
44638	Find the Concavity	(x-2)/(x^2-5x+6)	$\frac{x - 2}{x^{2} - 5 x + 6}$
44639	Find the Concavity	6x^2+6sin(2x)	$6 x^{2} + 6 \sin (2 x)$
44640	Find the Concavity	(x+2)/(x^2-4)	$\frac{x + 2}{x^{2} - 4}$
44641	Find the Concavity	20e^x-e^(2x)	$20 e^{x} - e^{2 x}$
44642	Find the Antiderivative	(dy)/(dx)=(xy)/2	$\frac{d y}{d x} = \frac{x y}{2}$
44643	Find the Volume	y=x^2 , y=0 , x=2	$y = x^{2}$ , $y = 0$ , $x = 2$
44644	Find the x and y Intercepts	8x^4-48x^2	$8 x^{4} - 48 x^{2}$
44645	Find the Critical Points	x square root of 256-x^2	$x \sqrt{256 - x^{2}}$
44646	Find the Critical Points	4x^3-39x^2+90x	$4 x^{3} - 39 x^{2} + 90 x$
44647	Find the Critical Points	5x^3+15x-4	$5 x^{3} + 15 x - 4$
44648	Find the Critical Points	5cos(x)^2	$5 \cos^{2} (x)$
44649	Find the Critical Points	3x^4-16x^3+18x^2	$3 x^{4} - 16 x^{3} + 18 x^{2}$
44650	Find the Critical Points	4x^2+2x+1	$4 x^{2} + 2 x + 1$
44651	Find the Critical Points	6x^3-9x^2-36x	$6 x^{3} - 9 x^{2} - 36 x$
44652	Find the Critical Points	12x^2-2x^3	$12 x^{2} - 2 x^{3}$
44653	Find the Tangent Line at x=e	f(x)=2+ natural log of x^4 ; x=e	$f (x) = 2 + \ln (x^{4})$ ; $x = e$
44654	Find the Inverse	- square root of 1-x	$- \sqrt{1 - x}$
44655	Find the Derivative Using Quotient Rule - d/dx	-x/(9y)	$- \frac{x}{9 y}$
44656	Find the Derivative Using Quotient Rule - d/dy	((y-2)^5)/((y^2+4y)^9)	$\frac{{(y - 2)}^{5}}{{(y^{2} + 4 y)}^{9}}$
44657	Find the Derivative Using Quotient Rule - d/du	u=4/(v^2)	$u = \frac{4}{v^{2}}$
44658	Find the Derivative Using Quotient Rule - d/dv	u=4/(v^2)	$u = \frac{4}{v^{2}}$
44659	Find the Derivative Using Quotient Rule - d/dw	(3w^4-w)/w	$\frac{3 w^{4} - w}{w}$
44660	Find the Derivative Using Quotient Rule - d/d@VAR	h(w)=(4w^6-w)/w	$h (w) = \frac{4 w^{6} - w}{w}$
44661	Find the Domain and Range	f(x)=1/10x-1/2	$f (x) = \frac{1}{10} x - \frac{1}{2}$
44662	Write in Standard Form	x^2+y^2-x+6y+9=0	$x^{2} + y^{2} - x + 6 y + 9 = 0$
44663	Find the Domain and Range	f(x)=2sin(x)-6	$f (x) = 2 \sin (x) - 6$
44664	Find the Domain and Range	g(t) = square root of 1-7^t	$g (t) = \sqrt{1 - 7^{t}}$
44665	Determine if the Point is on the Graph	f(x)=x-2 , (4,2)	$f (x) = x - 2$ , $(4, 2)$
44666	Find the Antiderivative	f(x) = square root of 1+x^3	$f (x) = \sqrt{1 + x^{3}}$
44667	Find Where the Mean Value Theorem is Satisfied	f(x)=sin(x/2) , [pi/2,(3pi)/2]	$f (x) = \sin (\frac{x}{2})$ , $[\frac{π}{2}, \frac{3 π}{2}]$
44668	Find the Inflection Points	y=1/3x^3+5x^2+24	$y = \frac{1}{3} x^{3} + 5 x^{2} + 24$
44669	Find the Inflection Points	y=3x^5+10x^4	$y = 3 x^{5} + 10 x^{4}$
44670	Find the Absolute Max and Min over the Interval	f(x)=9x^4-4x^3 , [-3,3]	$f (x) = 9 x^{4} - 4 x^{3}$ , $[- 3, 3]$
44671	Multiply	(x-3)(x-1)	$(x - 3) (x - 1)$
44672	Multiply	2x(x^2)	$2 x (x^{2})$
44673	Multiply	150*4	$150 \cdot 4$
44674	Multiply	2*27	$2 \cdot 27$
44675	Multiply	27*8	$27 \cdot 8$
44676	Multiply	(1-cos(2x))(1+cos(2x))	$(1 - \cos (2 x)) (1 + \cos (2 x))$
44677	Multiply	60*5	$60 \cdot 5$
44678	Multiply	42*42	$42 \cdot 42$
44679	Multiply	6*36	$6 \cdot 36$
44680	Multiply	39*2	$39 \cdot 2$
44681	Multiply	35*3	$35 \cdot 3$
44682	Multiply	16(3)	$16 (3)$
44683	Multiply	(x+3)(x-5)	$(x + 3) (x - 5)$
44684	Divide	7/6	$\frac{7}{6}$
44685	Divide	-8/4	$- \frac{8}{4}$
44686	Divide	33/2	$\frac{33}{2}$
44687	Divide	90/4	$\frac{90}{4}$
44688	Divide	25/3	$\frac{25}{3}$
44689	Divide	45/4	$\frac{45}{4}$
44690	Divide	45/7	$\frac{45}{7}$
44691	Divide	20/4	$\frac{20}{4}$
44692	Divide	135/5	$\frac{135}{5}$
44693	Divide	(1001^1000)/(1000^1000)	$\frac{1001^{1000}}{1000^{1000}}$
44694	Divide	108/2	$\frac{108}{2}$
44695	Divide	128/16	$\frac{128}{16}$
44696	Divide	12÷4	$12 \div 4$
44697	Divide	96/2	$\frac{96}{2}$
44698	Divide	96÷4	$96 \div 4$
44699	Find the Local Maxima and Minima	x^4-8x^3+16x^2	$x^{4} - 8 x^{3} + 16 x^{2}$
44700	Find the Local Maxima and Minima	5x^3e^(-x)	$5 x^{3} e^{- x}$