Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
59601	Solve for x	natural log of e^6-2 natural log of e^2 = log base 3 of x	$\ln (e^{6}) - 2 \ln (e^{2}) = \log_{3} (x)$
59602	Find dy/dx	x^2+xy+y^3=0	$x^{2} + x y + y^{3} = 0$
59603	Solve for x	(x-9)^2=x^2+2x+21	${(x - 9)}^{2} = x^{2} + 2 x + 21$
59604	Evaluate the Limit	limit as n approaches infinity of (1+1/n)^n	$lim_{n \to \infty} {(1 + \frac{1}{n})}^{n}$
59605	Evaluate the Limit	limit as x approaches infinity of ( square root of 9x^4+1)/(4x^2+3)	$lim_{x \to \infty} \frac{\sqrt{9 x^{4} + 1}}{4 x^{2} + 3}$
59606	Solve for x	(2cos(x)-3)(cos(x)+1)=0	$(2 \cos (x) - 3) (\cos (x) + 1) = 0$
59607	Find dy/dx	x^3+3xy+2y^3=17	$x^{3} + 3 x y + 2 y^{3} = 17$
59608	Evaluate the Limit	limit as x approaches e of ((x^20-3x)-(e^20-3e))/(x-e)	$lim_{x \to e} \frac{(x^{20} - 3 x) - (e^{20} - 3 e)}{x - e}$
59609	Find the Derivative - d/d@VAR	f(x)=2e^x	$f (x) = 2 e^{x}$
59610	Find the Derivative - d/dr	pir^2h	$π r^{2} h$
59611	Evaluate the Summation	sum from n=-1 to 5 of sin((npi)/4)	$\sum_{n = - 1}^{5} \sin (\frac{n π}{4})$
59612	Solve for x	log of x^2+1- log of x-2=1	$\log (x^{2} + 1) - \log (x - 2) = 1$
59613	Find dy/dx	cos(xy)=2y-5	$\cos (x y) = 2 y - 5$
59614	Find the Fourth Derivative	1/x	$\frac{1}{x}$
59615	Find the Integral	integral of sin(x)^2 with respect to x	$\int \sin^{2} (x) d x$
59616	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (1-cos(4x))/(9x^2)	$lim_{x \to 0} \frac{(1 - \cos (4 x))}{9 x^{2}}$
59617	Find the Area Between the Curves	y=16-x^4	$y = 16 - x^{4}$
59618	Find the Antiderivative	f(x)=1/3x	$f (x) = \frac{1}{3} x$
59619	Find dy/dx	x^2-3xy=10	$x^{2} - 3 x y = 10$
59620	Find the Derivative - d/d@VAR	f(x)=9^x	$f (x) = 9^{x}$
59621	Find the Critical Points	1/(x^2-4)	$\frac{1}{x^{2} - 4}$
59622	Find the Derivative - d/d@VAR	f(x)=x^2-4x	$f (x) = x^{2} - 4 x$
59623	Find the Behavior (Leading Coefficient Test)	f(x)=x^2-5x+6	$f (x) = x^{2} - 5 x + 6$
59624	Find the Derivative - d/dt	te^t	$t e^{t}$
59625	Find the Second Derivative	natural log of x	$\ln (x)$
59626	Find dy/dx	2y-x+xy=7	$2 y - x + x y = 7$
59627	Find the Derivative - d/d@VAR	f(x)=(2x^2+5)^7	$f (x) = {(2 x^{2} + 5)}^{7}$
59628	Find dy/dx	x^3y-2x^2+y^4=8	$x^{3} y - 2 x^{2} + y^{4} = 8$
59629	Evaluate the Summation	sum from i=0 to 4 of 7-i	$\sum_{i = 0}^{4} 7 - i$
59630	Find the Arc Length	f(x)=6x-6 , (1,2)	$f (x) = 6 x - 6$ , $(1, 2)$
59631	Find the Interquartile Range (H-Spread)	50 44 56 48 55 50 48 55 47 42 59	$50$ $44$ $56$ $48$ $55$ $50$ $48$ $55$ $47$ $42$ $59$
59632	Find the Critical Points	square root of x^2+4	$\sqrt{x^{2} + 4}$
59633	Find the Critical Points	2x^3-7x^2-40x+5	$2 x^{3} - 7 x^{2} - 40 x + 5$
59634	Find dy/dx	y=x^5e^(x^9)	$y = x^{5} e^{x^{9}}$
59635	Evaluate the Summation	sum from n=0 to 6 of sin((npi)/2)	$\sum_{n = 0}^{6} \sin (\frac{n π}{2})$
59636	Find the Derivative - d/d@VAR	f(x)=(x-1)(x^2+2)^3	$f (x) = (x - 1) {(x^{2} + 2)}^{3}$
59637	Find dy/dx	y = natural log of \|sin(x)\|	$y = \ln (\| \sin (x) \|)$
59638	Find the Third Derivative	e^x	$e^{x}$
59639	Find the Domain	g(x)=1/(\|x^2-4\|)	$g (x) = \frac{1}{\| x^{2} - 4 \|}$
59640	Find the Derivative - d/d@VAR	f(x)=7x^4e^(9x)	$f (x) = 7 x^{4} e^{9 x}$
59641	Find the Area Under the Curve	y=e^x ; [0,4]	$y = e^{x}$ ; $[0, 4]$
59642	Find dy/dx	y=x^(5x)	$y = x^{5 x}$
59643	Find the Integral	cos(2x)	$\cos (2 x)$
59644	Solve for y	x=2y^2	$x = 2 y^{2}$
59645	Evaluate the Summation	sum from k=1 to 11 of k	$\sum_{k = 1}^{11} k$
59646	Find the Derivative - d/d@VAR	f(x)=x^(2/3)	$f (x) = x^{\frac{2}{3}}$
59647	Find the Derivative - d/dt	3cos(t)	$3 \cos (t)$
59648	Find the Derivative - d/dr	1/3pir^2h	$\frac{1}{3} π r^{2} h$
59649	Evaluate the Summation	sum from i=1 to 3 of i(i+2)	$\sum_{i = 1}^{3} i (i + 2)$
59650	Evaluate the Summation	sum from 3 to 13 of 12n	$\sum_{3}^{13} 12 n$
59651	Find Where Increasing/Decreasing Using Derivatives	x^4-2x^3	$x^{4} - 2 x^{3}$
59652	Find the Derivative - d/d@VAR	f(x)=e^(-4x)	$f (x) = e^{- 4 x}$
59653	Find the Derivative - d/dt	(pit)/2	$\frac{π t}{2}$
59654	Find the Area Under the Curve	y=36-x^2 ; [-6,6]	$y = 36 - x^{2}$ ; $[- 6, 6]$
59655	Find the Area Between the Curves	y=6x-x^2 , y=2x	$y = 6 x - x^{2}$ , $y = 2 x$
59656	Evaluate the Summation	sum from k=1 to n of (k^2)/2	$\sum_{k = 1}^{n} \frac{k^{2}}{2}$
59657	Find dy/dx	y=xy+x^2+1	$y = x y + x^{2} + 1$
59658	Find dy/dx	y^2-x^2y+3x^3=4	$y^{2} - x^{2} y + 3 x^{3} = 4$
59659	Find the Critical Points	(y-5)/(y^2-3y+15)	$\frac{y - 5}{y^{2} - 3 y + 15}$
59660	Find the Integral	integral of cos(x)^2 with respect to x	$\int \cos^{2} (x) d x$
59661	Find the Area Under the Curve	y=x^2 ; [0,3]	$y = x^{2}$ ; $[0, 3]$
59662	Find the Antiderivative	f(x) = fifth root of x^2+x square root of x	$f (x) = \sqrt[5]{x^{2}} + x \sqrt{x}$
59663	Find the Derivative - d/d@VAR	f(x)=( natural log of x)^4	$f (x) = \ln^{4} (x)$
59664	Find the Area Under the Curve	y=-3x^2-x , [5,6]	$y = - 3 x^{2} - x$ , $[5, 6]$
59665	Find dy/dx	3y^2+x^2-xy=1	$3 y^{2} + x^{2} - x y = 1$
59666	Find dy/dx	7e^(xy)+5y^2=7	$7 e^{x y} + 5 y^{2} = 7$
59667	Find the Inflection Points	x^3-6x-1	$x^{3} - 6 x - 1$
59668	Find the Derivative - d/dt	cos(pit)	$\cos (π t)$
59669	Find the Antiderivative	f(x) = seventh root of x^2+x square root of x	$f (x) = \sqrt[7]{x^{2}} + x \sqrt{x}$
59670	Find the Antiderivative	f(x) = ninth root of x^2+x square root of x	$f (x) = \sqrt[9]{x^{2}} + x \sqrt{x}$
59671	Evaluate the Summation	sum from i=1 to 5 of i(i+1)	$\sum_{i = 1}^{5} i (i + 1)$
59672	Evaluate the Summation	sum from k=1 to infinity of 5(2/3)^(k-1)	$\sum_{k = 1}^{\infty} 5 {(\frac{2}{3})}^{k - 1}$
59673	Evaluate the Summation	sum from n=1 to infinity of (-2/3)^(n-1)	$\sum_{n = 1}^{\infty} {(- \frac{2}{3})}^{n - 1}$
59674	Find the Second Derivative	cos(2x)	$\cos (2 x)$
59675	Find the Integral	sin(3x)	$\sin (3 x)$
59676	Find the Derivative - d/dy	ye^x	$y e^{x}$
59677	Solve for t	5e^(3t)=8e^(2t)	$5 e^{3 t} = 8 e^{2 t}$
59678	Solve for t	96-32t=0	$96 - 32 t = 0$
59679	Solve for t	e^(2t)=1800	$e^{2 t} = 1800$
59680	Solve for t	e^(2t)=2400	$e^{2 t} = 2400$
59681	Find the Area Under the Curve	y=x^3 ; [0,5]	$y = x^{3}$ ; $[0, 5]$
59682	Evaluate the Summation	sum from n=1 to 22 of 4n-9	$\sum_{n = 1}^{22} 4 n - 9$
59683	Evaluate the Summation	sum from k=1 to 3 of k(k+4)	$\sum_{k = 1}^{3} k (k + 4)$
59684	Evaluate the Summation	sum from x=1 to 4 of (1/4)^x	$\sum_{x = 1}^{4} {(\frac{1}{4})}^{x}$
59685	Evaluate the Summation	sum from i=0 to 6 of 3i^2	$\sum_{i = 0}^{6} 3 i^{2}$
59686	Find dy/dx	y^2-2xy=16	$y^{2} - 2 x y = 16$
59687	Find the Critical Points	(y-3)/(y^2-3y+9)	$\frac{y - 3}{y^{2} - 3 y + 9}$
59688	Find the Second Derivative	-5/x	$- \frac{5}{x}$
59689	Find the Fourth Derivative	square root of x	$\sqrt{x}$
59690	Find the Derivative - d/dy	e^(y^2)	$e^{y^{2}}$
59691	Find the Derivative - d/dt	2sin(t)	$2 \sin (t)$
59692	Find the Area Between the Curves	y=9x-x^2 , y=3x	$y = 9 x - x^{2}$ , $y = 3 x$
59693	Divide	128/3	$\frac{128}{3}$
59694	Find the Area Under the Curve	y=e^(3x) ; [0,3]	$y = e^{3 x}$ ; $[0, 3]$
59695	Find dy/dx	2y^2-x^2+x^3y=2	$2 y^{2} - x^{2} + x^{3} y = 2$
59696	Find dy/dx	4x-x^2y+y^3=10	$4 x - x^{2} y + y^{3} = 10$
59697	Find dy/dx	x^2-3xy+y^2=1	$x^{2} - 3 x y + y^{2} = 1$
59698	Evaluate the Summation	sum from i=1 to 4 of (i^2+1)^2	$\sum_{i = 1}^{4} {(i^{2} + 1)}^{2}$
59699	Evaluate the Summation	sum from i=1 to 10 of i^2	$\sum_{i = 1}^{10} i^{2}$
59700	Evaluate the Summation	sum from i=0 to infinity of 1.25^i	$\sum_{i = 0}^{\infty} {1.25}^{i}$