Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
46301	Find the Second Derivative	f(x)=5e(-x^2)	$f (x) = 5 e (- x^{2})$
46302	Find the Second Derivative	f(x)=2x^2-2sin(2x)	$f (x) = 2 x^{2} - 2 \sin (2 x)$
46303	Find the Second Derivative	f(x)=7e^(-x)-9e^(-7x)	$f (x) = 7 e^{- x} - 9 e^{- 7 x}$
46304	Find the Second Derivative	f(x)=7(x^2-10x)^20	$f (x) = 7 {(x^{2} - 10 x)}^{20}$
46305	Find the Second Derivative	f(x)=6x+13	$f (x) = 6 x + 13$
46306	Solve by Substitution	7e-4=31	$7 e - 4 = 31$
46307	Find the Second Derivative	f(x)=cos(5x^2)	$f (x) = \cos (5 x^{2})$
46308	Find the Third Derivative	f(x)=(x-1)/(x-4)	$f (x) = \frac{x - 1}{x - 4}$
46309	Find the Third Derivative	f(x)=5x^-7	$f (x) = 5 x^{- 7}$
46310	Find the Third Derivative	f(x) = fourth root of x^3	$f (x) = \sqrt[4]{x^{3}}$
46311	Find the Third Derivative	f(x)=sin(x/2)	$f (x) = \sin (\frac{x}{2})$
46312	Find the Third Derivative	f(x)=(2x+4)^5	$f (x) = {(2 x + 4)}^{5}$
46313	Find the Fourth Derivative	f(x)=8x^2 natural log of 7x	$f (x) = 8 x^{2} \ln (7 x)$
46314	Find the Fourth Derivative	f(x)=4x^3+7x^2+8x	$f (x) = 4 x^{3} + 7 x^{2} + 8 x$
46315	Find the Fourth Derivative	f(x)=6x^3+5x^2+7x	$f (x) = 6 x^{3} + 5 x^{2} + 7 x$
46316	Find the Foci	(x^2)/49+(y^2)/36=1	$\frac{x^{2}}{49} + \frac{y^{2}}{36} = 1$
46317	Find the Foci	9x^2-18x+4y^2=27	$9 x^{2} - 18 x + 4 y^{2} = 27$
46318	Find the Maximum/Minimum Value	x^3-2x^2-4x+8	$x^{3} - 2 x^{2} - 4 x + 8$
46319	Find the Maximum/Minimum Value	1/9x^9-x	$\frac{1}{9} x^{9} - x$
46320	Find the Maximum/Minimum Value	3-2x-x^3	$3 - 2 x - x^{3}$
46321	Find the Maximum/Minimum Value	x^2-6x-3	$x^{2} - 6 x - 3$
46322	Find the Maximum/Minimum Value	x^2-8x-7	$x^{2} - 8 x - 7$
46323	Find the Maximum/Minimum Value	x^2-x-4	$x^{2} - x - 4$
46324	Find the Maximum/Minimum Value	-x^2+8x-7	$- x^{2} + 8 x - 7$
46325	Find the Asymptotes	s(t)=(4t)/(sin(t))	$s (t) = \frac{4 t}{\sin (t)}$
46326	Find the Asymptotes	f(x)=(x-4)/(16x-x^3)	$f (x) = \frac{x - 4}{16 x - x^{3}}$
46327	Find the Asymptotes	f(x)=9-4/x	$f (x) = 9 - \frac{4}{x}$
46328	Find the Asymptotes	f(x)=3tan(pix)	$f (x) = 3 \tan (π x)$
46329	Find the Asymptotes	f(x)=4tan(pix)	$f (x) = 4 \tan (π x)$
46330	Find the Asymptotes	f(x)=(x-6)/(x+6)	$f (x) = \frac{x - 6}{x + 6}$
46331	Find the Asymptotes	f(x)=(x^2-9x+18)/(x^2-5x+6)	$f (x) = \frac{x^{2} - 9 x + 18}{x^{2} - 5 x + 6}$
46332	Find the Asymptotes	f(x)=(x^2-3x-18)/(x^2-9x+18)	$f (x) = \frac{x^{2} - 3 x - 18}{x^{2} - 9 x + 18}$
46333	Find the Asymptotes	f(x)=(9sin(x)+2)/(sin(x)+1)	$f (x) = \frac{9 \sin (x) + 2}{\sin (x) + 1}$
46334	Find the Asymptotes	f(x)=(8x)/(x^3-7x^2)	$f (x) = \frac{8 x}{x^{3} - 7 x^{2}}$
46335	Find the Asymptotes	f(x)=(4x-3)/( square root of 3x^2-1)	$f (x) = \frac{4 x - 3}{\sqrt{3 x^{2} - 1}}$
46336	Find the Asymptotes	f(x)=(4x^2-8x-12)/(3x^2-3)	$f (x) = \frac{4 x^{2} - 8 x - 12}{3 x^{2} - 3}$
46337	Find the Asymptotes	f(x)=(3x-6)/(x^2-x-2)	$f (x) = \frac{3 x - 6}{x^{2} - x - 2}$
46338	Find the Asymptotes	f(x)=(3x-8)/x	$f (x) = \frac{3 x - 8}{x}$
46339	Find the Asymptotes	f(x)=(4sin(x)+1)/(sin(x)+1)	$f (x) = \frac{4 \sin (x) + 1}{\sin (x) + 1}$
46340	Find the Asymptotes	f(x)=((2x-1)(2x+3))/((x-3)(x+5))	$f (x) = \frac{(2 x - 1) (2 x + 3)}{(x - 3) (x + 5)}$
46341	Find the Asymptotes	f(x)=( square root of 12x^2+13)/(14x+12)	$f (x) = \frac{\sqrt{12 x^{2} + 13}}{14 x + 12}$
46342	Find the Asymptotes	f(x)=(12x)/(15x-8)	$f (x) = \frac{12 x}{15 x - 8}$
46343	Find the Asymptotes	f(x)=(1-5x)/(1+4x)	$f (x) = \frac{1 - 5 x}{1 + 4 x}$
46344	Find the Asymptotes	f(x)=(3x)/(x^2-4x)	$f (x) = \frac{3 x}{x^{2} - 4 x}$
46345	Find the Asymptotes	f(x)=(2x)/(x^2-7x)	$f (x) = \frac{2 x}{x^{2} - 7 x}$
46346	Find the Horizontal Tangent Line	64x^2+25y^2+640x-400y+1600=0	$64 x^{2} + 25 y^{2} + 640 x - 400 y + 1600 = 0$
46347	Find the Horizontal Tangent Line	64x^2+49y^2+896x-784y+3136=0	$64 x^{2} + 49 y^{2} + 896 x - 784 y + 3136 = 0$
46348	Find the Horizontal Tangent Line	36x^2+16y^2+288x-192y+576=0	$36 x^{2} + 16 y^{2} + 288 x - 192 y + 576 = 0$
46349	Find the Horizontal Tangent Line	(x^2)/(a^2)-(y^2)/(b^2)=1	$\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} = 1$
46350	Find the Normal Line at @POINT	x^2+xy-y^2=-1 , (1,2)	$x^{2} + x y - y^{2} = - 1$ , $(1, 2)$
46351	Evaluate Using L'Hospital's Rule	limit as t approaches infinity of ( square root of t+t^2)/(4t-t^2)	$lim_{t \to \infty} \frac{\sqrt{t} + t^{2}}{4 t - t^{2}}$
46352	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of (5x^2-3x)/(7x^2+1)	$lim_{x \to \infty} \frac{5 x^{2} - 3 x}{7 x^{2} + 1}$
46353	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (e^x-1)/(tan(x))	$lim_{x \to 0} \frac{e^{x} - 1}{\tan (x)}$
46354	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (9x^2)/( natural log of sec(x))	$lim_{x \to 0} \frac{9 x^{2}}{\ln (\sec (x))}$
46355	Evaluate Using L'Hospital's Rule	limit as n approaches infinity of (1+2/n)^n	$lim_{n \to \infty} {(1 + \frac{2}{n})}^{n}$
46356	Write as a Function of x	x=2y-y^2	$x = 2 y - y^{2}$
46357	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of 1/x-csc(x)	$lim_{x \to 0} \frac{1}{x} - \csc (x)$
46358	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (5x-sin(5x))/(5x-tan(5x))	$lim_{x \to 0} \frac{5 x - \sin (5 x)}{5 x - \tan (5 x)}$
46359	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of ( natural log of square root of x)/(x^2)	$lim_{x \to \infty} \frac{(\ln (\sqrt{x}))}{x^{2}}$
46360	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of sin(5x)csc(7x)	$lim_{x \to 0} \sin (5 x) \csc (7 x)$
46361	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of (x^3)/(7e^(x/2))	$lim_{x \to \infty} \frac{x^{3}}{7 e^{\frac{x}{2}}}$
46362	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of xsin((3pi)/x)	$lim_{x \to \infty} x \sin (\frac{3 π}{x})$
46363	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of (1-1/x)^(3x)	$lim_{x \to \infty} {(1 - \frac{1}{x})}^{3 x}$
46364	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of sin(7x)csc(5x)	$lim_{x \to 0} \sin (7 x) \csc (5 x)$
46365	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of ( natural log of x^4)/(x^3)	$lim_{x \to \infty} \frac{\ln (x^{4})}{x^{3}}$
46366	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (1-cos(x)^2)/(x^3)	$lim_{x \to 0} \frac{(1 - \cos^{2} (x))}{x^{3}}$
46367	Find the x and y Intercepts	y=4-3x-x^3	$y = 4 - 3 x - x^{3}$
46368	Find the x and y Intercepts	y=4x^2-16x+13	$y = 4 x^{2} - 16 x + 13$
46369	Find the x and y Intercepts	y=x+7	$y = x + 7$
46370	Find the x and y Intercepts	y=6x-9x^2-1	$y = 6 x - 9 x^{2} - 1$
46371	Find the x and y Intercepts	y=-2x^2+12x-10	$y = - 2 x^{2} + 12 x - 10$
46372	Find the x and y Intercepts	y=4x^2-24x+33	$y = 4 x^{2} - 24 x + 33$
46373	Find the x and y Intercepts	2y=x^2	$2 y = x^{2}$
46374	Find the Antiderivative	x^2+sin(x)	$x^{2} + \sin (x)$
46375	Find the Antiderivative	(x^2)/(1+x^2)	$\frac{x^{2}}{1 + x^{2}}$
46376	Find the Antiderivative	tan(x)sec(x)^2	$\tan (x) \sec^{2} (x)$
46377	Find the Antiderivative	1/(1+y)	$\frac{1}{1 + y}$
46378	Find the Antiderivative	0.5x	$0.5 x$
46379	Find the Antiderivative	1/( fourth root of 1+x)	$\frac{1}{\sqrt[4]{1 + x}}$
46380	Find the Antiderivative	(x^3-8x^2+5)/(x^2)	$\frac{x^{3} - 8 x^{2} + 5}{x^{2}}$
46381	Find the Antiderivative	2/(x^6)	$\frac{2}{x^{6}}$
46382	Find the Antiderivative	sin(2x)dx	$\sin (2 x) d x$
46383	Find the Antiderivative	e^(-theta)	$e^{- θ}$
46384	Find the Antiderivative	xsin(2x)	$x \sin (2 x)$
46385	Find the Antiderivative	(x-1/(2x))^2	${(x - \frac{1}{2 x})}^{2}$
46386	Find the Antiderivative	cube root of x-2	$\sqrt[3]{x} - 2$
46387	Find the Antiderivative	1/( square root of 1-x^2)-1/( square root of x)	$\frac{1}{\sqrt{1 - x^{2}}} - \frac{1}{\sqrt{x}}$
46388	Find the Antiderivative	-1/8sin(2x)	$- \frac{1}{8} \sin (2 x)$
46389	Find the Antiderivative	100/(x^3)	$\frac{100}{x^{3}}$
46390	Find the Antiderivative	sin(3theta)	$\sin (3 θ)$
46391	Find the Antiderivative	cot(2x)	$\cot (2 x)$
46392	Find the Antiderivative	x^(-9/5)	$x^{- \frac{9}{5}}$
46393	Find the Antiderivative	1/(2x^4)	$\frac{1}{2 x^{4}}$
46394	Find the Antiderivative	cos(theta)^2	$\cos^{2} (θ)$
46395	Find the Antiderivative	(e^(7x))/7	$\frac{e^{7 x}}{7}$
46396	Find the Antiderivative	y/4	$\frac{y}{4}$
46397	Find the Antiderivative	\|x^2-9\|	$\| x^{2} - 9 \|$
46398	Find the Antiderivative	9.8x	$9.8 x$
46399	Find the Antiderivative	( square root of x^2-4)/x	$\frac{\sqrt{x^{2} - 4}}{x}$
46400	Find the Antiderivative	natural log of xdx	$\ln (x) d x$