Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
45601	Find the Asymptotes	y=(6e^x)/(e^x-6)	$y = \frac{6 e^{x}}{e^{x} - 6}$
45602	Find the Asymptotes	y=(x^2+1)/(7x-4x^2)	$y = \frac{x^{2} + 1}{7 x - 4 x^{2}}$
45603	Evaluate the Derivative at x=0	xy+2e^y=2e , x=0	$x y + 2 e^{y} = 2 e$ , $x = 0$
45604	Find the Fourth Derivative	f(x)=5x^2-13x-4/(x^2)	$f (x) = 5 x^{2} - 13 x - \frac{4}{x^{2}}$
45605	Find the Fourth Derivative	S(t)=3t^3-t^2+6t-9	$S (t) = 3 t^{3} - t^{2} + 6 t - 9$
45606	Find the Fourth Derivative	t(n)=4n^(-1/4)+3n^(5/4)	$t (n) = 4 n^{- \frac{1}{4}} + 3 n^{\frac{5}{4}}$
45607	Find the Third Derivative	f(x)=sin(3x)	$f (x) = \sin (3 x)$
45608	Find the Third Derivative	f(x)=10e^(9x)	$f (x) = 10 e^{9 x}$
45609	Find the Third Derivative	A(q)=km/q+cm+(hq)/2	$A (q) = \frac{km}{q} + cm + \frac{h q}{2}$
45610	Find the Third Derivative	f(x)=9x^-7	$f (x) = 9 x^{- 7}$
45611	Split Using Partial Fraction Decomposition	4/(x^2-8x-20)	$\frac{4}{x^{2} - 8 x - 20}$
45612	Split Using Partial Fraction Decomposition	(x^2+1)/(x^2-13x+42)	$\frac{x^{2} + 1}{x^{2} - 13 x + 42}$
45613	Find the Second Derivative	h(s)=s^3(s^2-16s+8)	$h (s) = s^{3} (s^{2} - 16 s + 8)$
45614	Find the Second Derivative	f(x)=cos(7x^2)	$f (x) = \cos (7 x^{2})$
45615	Find the Second Derivative	f(x)=(x^2-2x-35)/(x+5)	$f (x) = \frac{x^{2} - 2 x - 35}{x + 5}$
45616	Find the Second Derivative	s(t)=3t^3-t^2+6t-9	$s (t) = 3 t^{3} - t^{2} + 6 t - 9$
45617	Find the Second Derivative	f(x)=8x+15	$f (x) = 8 x + 15$
45618	Find the Second Derivative	f(x)=2x+17	$f (x) = 2 x + 17$
45619	Find the Second Derivative	f(x)=(x^2-4x-12)/(x+2)	$f (x) = \frac{x^{2} - 4 x - 12}{x + 2}$
45620	Find the Second Derivative	f(x)=2x+11	$f (x) = 2 x + 11$
45621	Find the Second Derivative	f(x)=8x^-6	$f (x) = 8 x^{- 6}$
45622	Find the Second Derivative	f(x)=4x+17	$f (x) = 4 x + 17$
45623	Find the Second Derivative	A(q)=km/q+cm+(hq)/2	$A (q) = \frac{km}{q} + cm + \frac{h q}{2}$
45624	Find the Second Derivative	f(x)=3x^7-16x^3-1/(3x)	$f (x) = 3 x^{7} - 16 x^{3} - \frac{1}{3 x}$
45625	Find the Second Derivative	f(x)=7e^xcos(x)	$f (x) = 7 e^{x} \cos (x)$
45626	Find the Second Derivative	F(x)=(x^2-x-20)/(x+4)	$F (x) = \frac{x^{2} - x - 20}{x + 4}$
45627	Find the Second Derivative	f(x)=5e^(-x)-7e^(-5x)	$f (x) = 5 e^{- x} - 7 e^{- 5 x}$
45628	Split Using Partial Fraction Decomposition	(4x+37)/(x^2+11x+28)	$\frac{4 x + 37}{x^{2} + 11 x + 28}$
45629	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (x^2)/( natural log of sec(x))	$lim_{x \to 0} \frac{x^{2}}{\ln (\sec (x))}$
45630	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of ( natural log of x^4)/(x^5)	$lim_{x \to \infty} \frac{\ln (x^{4})}{x^{5}}$
45631	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of (x^3)/(7e^(x/4))	$lim_{x \to \infty} \frac{x^{3}}{7 e^{\frac{x}{4}}}$
45632	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (x^2)/(sin(4x)^2)	$lim_{x \to 0} \frac{x^{2}}{\sin^{2} (4 x)}$
45633	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of (e^(3x)-e^(-3x))/(e^(3x)+e^(-3x))	$lim_{x \to \infty} \frac{e^{3 x} - e^{- 3 x}}{e^{3 x} + e^{- 3 x}}$
45634	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (sin(6x))/(tan(7x))	$lim_{x \to 0} \frac{\sin (6 x)}{\tan (7 x)}$
45635	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of ( natural log of x)/(-2e^x)	$lim_{x \to \infty} \frac{\ln (x)}{- 2 e^{x}}$
45636	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of xsin((6pi)/x)	$lim_{x \to \infty} x \sin (\frac{6 π}{x})$
45637	Evaluate Using L'Hospital's Rule	limit as x approaches pi/2 of (sin(2x))/(cos(x))	$lim_{x \to \frac{π}{2}} \frac{\sin (2 x)}{\cos (x)}$
45638	Find the x and y Intercepts	y=32x-16x^2-16	$y = 32 x - 16 x^{2} - 16$
45639	Find the x and y Intercepts	y=x^2-4x-21	$y = x^{2} - 4 x - 21$
45640	Find the x and y Intercepts	y=x^2+10x+21	$y = x^{2} + 10 x + 21$
45641	Find Amplitude, Period, and Phase Shift	y=1/2sec((pix)/2)	$y = \frac{1}{2} \sec (\frac{π x}{2})$
45642	Determine if Rational	- square root of 81	$- \sqrt{81}$
45643	Find the Normal Line at @POINT	y=7xe^x , (0,0)	$y = 7 x e^{x}$ , $(0, 0)$
45644	Find the Normal Line at @POINT	y=x^4+7e^x , (0,7)	$y = x^{4} + 7 e^{x}$ , $(0, 7)$
45645	Find Trig Functions Using Identities	tan(arccos(x))	$\tan (\arccos (x))$
45646	Find the Horizontal Tangent Line	y=(x^2-15)e^x	$y = (x^{2} - 15) e^{x}$
45647	Find the Horizontal Tangent Line	y=(x^2-168)e^x	$y = (x^{2} - 168) e^{x}$
45648	Find the Horizontal Tangent Line	49x^2+36y^2+588x-504y+1764=0	$49 x^{2} + 36 y^{2} + 588 x - 504 y + 1764 = 0$
45649	Find the Area Between the Curves	y=x^2-4x+3 , y=-x^2+2x+3	$y = x^{2} - 4 x + 3$ , $y = - x^{2} + 2 x + 3$
45650	Find the Area Between the Curves	x=5-5y^2 , x=5y^2-5	$x = 5 - 5 y^{2}$ , $x = 5 y^{2} - 5$
45651	Find the Area Between the Curves	y=16/x , y=x , y=x/4	$y = \frac{16}{x}$ , $y = x$ , $y = \frac{x}{4}$
45652	Find the Area Between the Curves	y=x^4-4x^2+1 , y=x^2-3	$y = x^{4} - 4 x^{2} + 1$ , $y = x^{2} - 3$
45653	Find the Antiderivative	-8.9e^(-t/3)	$- 8.9 e^{- \frac{t}{3}}$
45654	Find the Antiderivative	-2x+6	$- 2 x + 6$
45655	Find the Antiderivative	9x^8	$9 x^{8}$
45656	Find the Antiderivative	cos(pi/6x)	$\cos (\frac{π}{6} x)$
45657	Find the Antiderivative	-6e^x	$- 6 e^{x}$
45658	Find the Antiderivative	2sin(x)+3cos(x)	$2 \sin (x) + 3 \cos (x)$
45659	Find the Antiderivative	1/4x^3	$\frac{1}{4} x^{3}$
45660	Find the Antiderivative	6sin(3x)	$6 \sin (3 x)$
45661	Find the Antiderivative	-9.8e^(-0.2t)	$- 9.8 e^{- 0.2 t}$
45662	Find the Antiderivative	-24x^5	$- 24 x^{5}$
45663	Find the Antiderivative	1/4-100/(x^2)	$\frac{1}{4} - \frac{100}{x^{2}}$
45664	Find the Antiderivative	1/5sin(5x)	$\frac{1}{5} \sin (5 x)$
45665	Find the Antiderivative	natural log of 2+sin(x)	$\ln (2 + \sin (x))$
45666	Find the Antiderivative	-1/4cos(2x)	$- \frac{1}{4} \cos (2 x)$
45667	Find the Antiderivative	xe^(3x)	$x e^{3 x}$
45668	Find the Antiderivative	(3x-2)(x+1)	$(3 x - 2) (x + 1)$
45669	Find the Antiderivative	-x^2-3x	$- x^{2} - 3 x$
45670	Find the Antiderivative	1/2cos(2x)	$\frac{1}{2} \cos (2 x)$
45671	Find the Antiderivative	1/(3y)	$\frac{1}{3 y}$
45672	Find the Antiderivative	5/(2x-3)	$\frac{5}{2 x - 3}$
45673	Find the Antiderivative	15x^2	$15 x^{2}$
45674	Find the Antiderivative	t(8-t)	$t (8 - t)$
45675	Find the Antiderivative	40-32t	$40 - 32 t$
45676	Find the Antiderivative	(x^2-2)/x	$\frac{x^{2} - 2}{x}$
45677	Find the Antiderivative	(xy)/2	$\frac{x y}{2}$
45678	Find the Antiderivative	13x^12	$13 x^{12}$
45679	Find the Antiderivative	2/(y+1)	$\frac{2}{y + 1}$
45680	Find the Antiderivative	96-32t	$96 - 32 t$
45681	Find the Antiderivative	4(3x-2)^3	$4 {(3 x - 2)}^{3}$
45682	Find the Antiderivative	xe^(-5x)	$x e^{- 5 x}$
45683	Find the Antiderivative	10x-7	$10 x - 7$
45684	Find the Antiderivative	2x-9	$2 x - 9$
45685	Find the Antiderivative	6e^(6x)	$6 e^{6 x}$
45686	Find the Antiderivative	-20e^(-1/2x)+C	$- 20 e^{- \frac{1}{2} x} + C$
45687	Find the Antiderivative	1/(9+x^2)	$\frac{1}{9 + x^{2}}$
45688	Find the Antiderivative	7e^(-x)	$7 e^{- x}$
45689	Find the Antiderivative	1/(16+x^2)	$\frac{1}{16 + x^{2}}$
45690	Find the Antiderivative	cos(x/3)	$\cos (\frac{x}{3})$
45691	Find the Antiderivative	(2x+1)(2x-1)	$(2 x + 1) (2 x - 1)$
45692	Find the Antiderivative	-3xe^(x^2)	$- 3 x e^{x^{2}}$
45693	Find the Antiderivative	infinity^infinity	$\infty^{\infty}$
45694	Find the Antiderivative	1/(csc(x))	$\frac{1}{\csc (x)}$
45695	Find the Antiderivative	sin(1/2x)	$\sin (\frac{1}{2} x)$
45696	Find the Antiderivative	y^-3	$y^{- 3}$
45697	Find the Antiderivative	-4sin(x)	$- 4 \sin (x)$
45698	Find the Antiderivative	3/2x^(1/2)	$\frac{3}{2} x^{\frac{1}{2}}$
45699	Find the Antiderivative	1/(y^3)	$\frac{1}{y^{3}}$
45700	Find the Antiderivative	4cos(2x)	$4 \cos (2 x)$