Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
53501	Find Where Increasing/Decreasing Using Derivatives	cos(x)^2-2sin(x)	$\cos^{2} (x) - 2 \sin (x)$
53502	Find Where Increasing/Decreasing Using Derivatives	e^(3x)+e^(-x)	$e^{3 x} + e^{- x}$
53503	Find Where Increasing/Decreasing Using Derivatives	sin(2x)-x	$\sin (2 x) - x$
53504	Find Where Increasing/Decreasing Using Derivatives	sin(x)+9	$\sin (x) + 9$
53505	Find Where Increasing/Decreasing Using Derivatives	sin(x)-xcos(x)	$\sin (x) - x \cos (x)$
53506	Find Where Increasing/Decreasing Using Derivatives	x square root of 144-x^2	$x \sqrt{144 - x^{2}}$
53507	Find Where Increasing/Decreasing Using Derivatives	x^(2/3)(4-x)	$x^{\frac{2}{3}} (4 - x)$
53508	Find Where Increasing/Decreasing Using Derivatives	x^(8/9)-x^(17/9)	$x^{\frac{8}{9}} - x^{\frac{17}{9}}$
53509	Find Where Increasing/Decreasing Using Derivatives	x^2+128/x-1	$x^{2} + \frac{128}{x} - 1$
53510	Find Where Increasing/Decreasing Using Derivatives	x^3-12x+8	$x^{3} - 12 x + 8$
53511	Find Where Increasing/Decreasing Using Derivatives	-x^3-15x^2-75x+2	$- x^{3} - 15 x^{2} - 75 x + 2$
53512	Find Where Increasing/Decreasing Using Derivatives	x^3-2x^2-4x+1	$x^{3} - 2 x^{2} - 4 x + 1$
53513	Find Where Increasing/Decreasing Using Derivatives	x^3-2x^2-4x+7	$x^{3} - 2 x^{2} - 4 x + 7$
53514	Find Where Increasing/Decreasing Using Derivatives	x^3-4x^2-3x+5	$x^{3} - 4 x^{2} - 3 x + 5$
53515	Find Where Increasing/Decreasing Using Derivatives	x^3-5x^2-8x+8	$x^{3} - 5 x^{2} - 8 x + 8$
53516	Find Where Increasing/Decreasing Using Derivatives	x^3-5x^2-8x+9	$x^{3} - 5 x^{2} - 8 x + 9$
53517	Find Where Increasing/Decreasing Using Derivatives	x^3-75x+2	$x^{3} - 75 x + 2$
53518	Find Where Increasing/Decreasing Using Derivatives	x^4-24x^2	$x^{4} - 24 x^{2}$
53519	Find Where Increasing/Decreasing Using Derivatives	x^4-2x^2-9	$x^{4} - 2 x^{2} - 9$
53520	Find Where Increasing/Decreasing Using Derivatives	x^4-32x^2+2	$x^{4} - 32 x^{2} + 2$
53521	Find Where Increasing/Decreasing Using Derivatives	x^4-32x+1	$x^{4} - 32 x + 1$
53522	Find Where Increasing/Decreasing Using Derivatives	x^4-8x^3+18x^2	$x^{4} - 8 x^{3} + 18 x^{2}$
53523	Expand Using the Binomial Theorem	( square root of x- square root of y)^5	${(\sqrt{x} - \sqrt{y})}^{5}$
53524	Expand Using the Binomial Theorem	(1+h)^4	${(1 + h)}^{4}$
53525	Expand Using the Binomial Theorem	(2a-b)^7	${(2 a - b)}^{7}$
53526	Expand Using the Binomial Theorem	(3x-2y)^8	${(3 x - 2 y)}^{8}$
53527	Expand Using the Binomial Theorem	(x^-1+2y^-1)^4	${(x^{- 1} + 2 y^{- 1})}^{4}$
53528	Find the Derivative Using Chain Rule - d/d@VAR	g(y)=((y-2)^3)/((y^2+4y)^9)	$g (y) = \frac{{(y - 2)}^{3}}{{(y^{2} + 4 y)}^{9}}$
53529	Find the Derivative Using Chain Rule - d/d@VAR	g(x)=((3x-4)^8)/((4x^2+3)^5)	$g (x) = \frac{{(3 x - 4)}^{8}}{{(4 x^{2} + 3)}^{5}}$
53530	Find the Derivative Using Chain Rule - d/d@VAR	f(x)=(1+x+x^2)^99	$f (x) = {(1 + x + x^{2})}^{99}$
53531	Find the Derivative Using Chain Rule - d/d@VAR	f(x)=(10x^3-6x)^(4/3)	$f (x) = {(10 x^{3} - 6 x)}^{\frac{4}{3}}$
53532	Find the Derivative Using Chain Rule - d/d@VAR	f(x)=(5x^4-3x^2+2x+1)^10	$f (x) = {(5 x^{4} - 3 x^{2} + 2 x + 1)}^{10}$
53533	Find the Derivative Using Chain Rule - d/d@VAR	f(t)=e^(3tsin(2t))	$f (t) = e^{3 t \sin (2 t)}$
53534	Find the Derivative Using Chain Rule - d/d@VAR	f(t)=3tsin(pit)	$f (t) = 3 t \sin (π t)$
53535	Find the Derivative Using Chain Rule - d/d@VAR	f(theta) = square root of tan(theta)+cot(theta)	$f (θ) = \sqrt{\tan (θ) + \cot (θ)}$
53536	Divide Using Long Division	22÷3	$22 \div 3$
53537	Find the Derivative Using Chain Rule - d/dx	y=5cos(x)^-4	$y = 5 \cos^{- 4} (x)$
53538	Find the Tangent at a Given Point Using the Limit Definition	f(x)=2/x , (3,2/3)	$f (x) = \frac{2}{x}$ , $P (3, \frac{2}{3})$
53539	Find the Sum of the Series	4/3 , 8/3 , 16/3 , 32/3 , 64/3	$\frac{4}{3}$ , $\frac{8}{3}$ , $\frac{16}{3}$ , $\frac{32}{3}$ , $\frac{64}{3}$
53540	Convert to Logarithmic Form	16^-1=1/6	$16^{- 1} = \frac{1}{6}$
53541	Convert to Logarithmic Form	Q^a=D	$Q^{a} = D$
53542	Convert to Logarithmic Form	log of square root of 6m^4	$\log (\sqrt{6 m^{4}})$
53543	Convert to Logarithmic Form	square root of 16=4	$\sqrt{16} = 4$
53544	Convert to Logarithmic Form	square root of 25=5	$\sqrt[2]{25} = 5$
53545	Convert to Logarithmic Form	(1/2)^2=1/144	${(\frac{1}{2})}^{2} = \frac{1}{144}$
53546	Convert to Logarithmic Form	log base b of 18	$\log_{b} (18)$
53547	Convert to Logarithmic Form	e^(0.7x)=t	$e^{0.7 x} = t$
53548	Convert to Logarithmic Form	A=G^f	$A = G^{f}$
53549	Convert to Logarithmic Form	G^d=K	$G^{d} = K$
53550	Convert to Logarithmic Form	cube root of 125=5	$\sqrt[3]{125} = 5$
53551	Convert to Logarithmic Form	v=h^k	$v = h^{k}$
53552	Convert to Logarithmic Form	cube root of 216=6	$\sqrt[3]{216} = 6$
53553	Convert to Logarithmic Form	log base b of 36b	$\log_{b} (36 b)$
53554	Find the Difference Quotient	f(x)=2x-9	$f (x) = 2 x - 9$
53555	Find the Difference Quotient	f(x)=-4x+1	$f (x) = - 4 x + 1$
53556	Find the Difference Quotient	f(x)=ax^3+bx	$f (x) = a x^{3} + b x$
53557	Find the Difference Quotient	f(x)=2x-3x^2	$f (x) = 2 x - 3 x^{2}$
53558	Find the Difference Quotient	f(x)=-2x^2-x	$f (x) = - 2 x^{2} - x$
53559	Find the Difference Quotient	f(x)=3x^3-7	$f (x) = 3 x^{3} - 7$
53560	Find the Difference Quotient	f(x)=3x+6	$f (x) = 3 x + 6$
53561	Find the Difference Quotient	f(x)=-5 square root of x+3	$f (x) = - 5 \sqrt{x + 3}$
53562	Find the Difference Quotient	f(x)=95	$f (x) = 95$
53563	Find the Asymptotes	(4x)/( square root of 16x^2+5)	$\frac{4 x}{\sqrt{16 x^{2} + 5}}$
53564	Find the Asymptotes	(t^2-2t)/(t^4-16)	$\frac{t^{2} - 2 t}{t^{4} - 16}$
53565	Find the Asymptotes	(x^2+3x+1)/(4x^2-9)	$\frac{x^{2} + 3 x + 1}{4 x^{2} - 9}$
53566	Find the Asymptotes	4-9/x	$4 - \frac{9}{x}$
53567	Find the Asymptotes	(t-5)/(t^2+25)	$\frac{t - 5}{t^{2} + 25}$
53568	Find the Asymptotes	(x^3+3x-7)/(-3x^4-12)	$\frac{x^{3} + 3 x - 7}{- 3 x^{4} - 12}$
53569	Find the Asymptotes	e^(3x)(2-x)	$e^{3 x} (2 - x)$
53570	Find the Asymptotes	( square root of 4x^2+3x+18-5)/(x-1)	$\frac{\sqrt{4 x^{2} + 3 x + 18} - 5}{x - 1}$
53571	Find the Asymptotes	(8+x^4)/(x^2-x^4)	$\frac{8 + x^{4}}{x^{2} - x^{4}}$
53572	Find the Asymptotes	1/(e^x-1)	$\frac{1}{e^{x} - 1}$
53573	Find the Asymptotes	(x^2)/((x-4)^2)	$\frac{x^{2}}{{(x - 4)}^{2}}$
53574	Find the Asymptotes	(x-2)e^x	$(x - 2) e^{x}$
53575	Find the Asymptotes	(2x)/(x^3-7x^2)	$\frac{2 x}{x^{3} - 7 x^{2}}$
53576	Find the Asymptotes	(x^2+2x-8)/(x^2-4)	$\frac{x^{2} + 2 x - 8}{x^{2} - 4}$
53577	Find the Asymptotes	(-4x)/(x^2+4)	$\frac{- 4 x}{x^{2} + 4}$
53578	Find the Asymptotes	(5x)/(sin(x))	$\frac{5 x}{\sin (x)}$
53579	Find the Asymptotes	(4x)/(x^2-7x)	$\frac{4 x}{x^{2} - 7 x}$
53580	Find the Asymptotes	(7x)/(x^3-5x^2)	$\frac{7 x}{x^{3} - 5 x^{2}}$
53581	Find the Asymptotes	7-8/x	$7 - \frac{8}{x}$
53582	Find the Asymptotes	(x^3-64)/(x^2-9x+20)	$\frac{x^{3} - 64}{x^{2} - 9 x + 20}$
53583	Find the Asymptotes	( square root of x^2+3x+2)/(2x+1)	$\frac{\sqrt{x^{2} + 3 x + 2}}{2 x + 1}$
53584	Find the Asymptotes	(x^2-64)/(x^2+64)	$\frac{x^{2} - 64}{x^{2} + 64}$
53585	Find the Asymptotes	(x^4-256)/(2x^2-8x)	$\frac{x^{4} - 256}{2 x^{2} - 8 x}$
53586	Find the Asymptotes	(5x^2)/(x^2-3x-4)	$\frac{5 x^{2}}{x^{2} - 3 x - 4}$
53587	Find the Asymptotes	5csc(1/2pix+1/6pi)	$5 \csc (\frac{1}{2} π x + \frac{1}{6} π)$
53588	Find the Asymptotes	(x^2+5x+6)/(x+3)	$\frac{x^{2} + 5 x + 6}{x + 3}$
53589	Find the Asymptotes	(X^2+2X-3)/(X-1)	$\frac{X^{2} + 2 X - 3}{X - 1}$
53590	Find the Asymptotes	5-3/x	$5 - \frac{3}{x}$
53591	Find the Asymptotes	e^x-7	$e^{x} - 7$
53592	Find the Asymptotes	(-x^2+5x-4)/(5x^2+5x-10)	$\frac{- x^{2} + 5 x - 4}{5 x^{2} + 5 x - 10}$
53593	Find the Asymptotes	(x^2+4x)/(3x^3-11x^2-4x)	$\frac{x^{2} + 4 x}{3 x^{3} - 11 x^{2} - 4 x}$
53594	Find the Asymptotes	(x^2-2x)/(x^4-16)	$\frac{(x^{2} - 2 x)}{x^{4} - 16}$
53595	Find the Asymptotes	x/( square root of 9x^2+1)	$\frac{x}{\sqrt{9 x^{2} + 1}}$
53596	Find the Asymptotes	(3x)/(x+4)	$\frac{3 x}{x + 4}$
53597	Find the Asymptotes	(x^2-5x+6)/(x-1)	$\frac{x^{2} - 5 x + 6}{x - 1}$
53598	Find the Asymptotes	(7x-1)/x	$\frac{7 x - 1}{x}$
53599	Find the Asymptotes	x square root of 2-x	$x \sqrt{2 - x}$
53600	Find the Asymptotes	(4x)/(x-4)	$\frac{4 x}{x - 4}$