Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
44201	Find the Sum of the Series	0 , 4 , 8 , 12 , 16	$0$ , $4$ , $8$ , $12$ , $16$
44202	Find the Concavity	13x^4-78x^2	$13 x^{4} - 78 x^{2}$
44203	Find the Concavity	x^4-2x^3-36x+12	$x^{4} - 2 x^{3} - 36 x + 12$
44204	Find the Domain	-7/((2+t)^2)	$- \frac{7}{{(2 + t)}^{2}}$
44205	Find the Domain	natural log of x^2-18x	$\ln (x^{2} - 18 x)$
44206	Find the Second Derivative	fifth root of (x^2+1)^4	$\sqrt[5]{{(x^{2} + 1)}^{4}}$
44207	Find the Second Derivative	14xsin(x)	$14 x \sin (x)$
44208	Find the Second Derivative	3sin(x)cos(x)	$3 \sin (x) \cos (x)$
44209	Find the Fourth Derivative	(3x)/(x-4)	$\frac{3 x}{x - 4}$
44210	Find the Second Derivative	3z^2e^z	$3 z^{2} e^{z}$
44211	Find the Third Derivative	x^5-1/(15x^5)	$x^{5} - \frac{1}{15 x^{5}}$
44212	Find the Second Derivative	e^(5x^2)	$e^{5 x^{2}}$
44213	Find the Second Derivative	8x^2-8sin(2x)	$8 x^{2} - 8 \sin (2 x)$
44214	Rationalize the Denominator	y/( square root of 5+ square root of y)	$\frac{y}{\sqrt{5} + \sqrt{y}}$
44215	Find the Critical Points	f(x)=-5x^2+6x-2	$f (x) = - 5 x^{2} + 6 x - 2$
44216	Find the Critical Points	f(x)=3x^3+9x^2-135x	$f (x) = 3 x^{3} + 9 x^{2} - 135 x$
44217	Find the Critical Points	f(x)=sin(3x)	$f (x) = \sin (3 x)$
44218	Find the Critical Points	g(x) = square root of 81-x^2	$g (x) = \sqrt{81 - x^{2}}$
44219	Find the Critical Points	f(x)=x^3+4x^2-21x	$f (x) = x^{3} + 4 x^{2} - 21 x$
44220	Find the Critical Points	f(x)=x^-5 natural log of x	$f (x) = x^{- 5} \ln (x)$
44221	Find the Critical Points	f(x)=5x^3+15x-4	$f (x) = 5 x^{3} + 15 x - 4$
44222	Find the Critical Points	f(x)=2x^2+500/x	$f (x) = 2 x^{2} + \frac{500}{x}$
44223	Find the Critical Points	j(x)=x^2e^x	$j (x) = x^{2} e^{x}$
44224	Find the Critical Points	x^2-12x+9	$x^{2} - 12 x + 9$
44225	Find the Critical Points	2cos(x)+sin(2x)	$2 \cos (x) + \sin (2 x)$
44226	Find the Critical Points	cube root of 4-x^2	$\sqrt[3]{4 - x^{2}}$
44227	Find the Tangent Line at x=2	f(x)=x^4-10x^2+9 ; x=2	$f (x) = x^{4} - 10 x^{2} + 9$ ; $x = 2$
44228	Find the x and y Intercepts	(x+10)/(x^2-100)	$\frac{x + 10}{x^{2} - 100}$
44229	Find the Domain and Range	f(x)=1/2x-1/10	$f (x) = \frac{1}{2} x - \frac{1}{10}$
44230	Find the Domain and Range	f(x)=1/4x-1/6	$f (x) = \frac{1}{4} x - \frac{1}{6}$
44231	Find the Domain and Range	f(x)=x^2-10x+24	$f (x) = x^{2} - 10 x + 24$
44232	Evaluate Using the Squeeze Theorem	limit as x approaches 0 of x^2sin(1/x)	$lim_{x \to 0} x^{2} \sin (\frac{1}{x})$
44233	Find the Absolute Max and Min over the Interval	f(x)=sin(x) , 0<=x<pi/2	$f (x) = \sin (x)$ , $0 \leq x < \frac{π}{2}$
44234	Identify the Sequence	4 , 6 , 8 , 10 , 12 , 14 , 16 , 18 , 20	$4$ , $6$ , $8$ , $10$ , $12$ , $14$ , $16$ , $18$ , $20$
44235	Find the Derivative of the Integral	y=sin(tan(3x))	$y = \sin (\tan (3 x))$
44236	Find the Derivative of the Integral	y=cos( square root of sin(tan(9x)))	$y = \cos (\sqrt{\sin (\tan (9 x))})$
44237	Find the Derivative of the Integral	y=3x^2cos(x)cot(x)	$y = 3 x^{2} \cos (x) \cot (x)$
44238	Find the Concavity	f(x)=x^2+sin(2x)	$f (x) = x^{2} + \sin (2 x)$
44239	Find the Derivative of the Integral	y=sin(tan(5x))	$y = \sin (\tan (5 x))$
44240	Find the Integral	ye^y	$y e^{y}$
44241	Find the Maximum/Minimum Value	x^2+4x+16	$x^{2} + 4 x + 16$
44242	Find the Asymptotes	s(t)=(8t)/(sin(t))	$s (t) = \frac{8 t}{\sin (t)}$
44243	Find the Asymptotes	f(x)=(x^2-5x)/(x^2-25)	$f (x) = \frac{x^{2} - 5 x}{x^{2} - 25}$
44244	Find the Asymptotes	f(x)=(2x)/(x^2-3x)	$f (x) = \frac{2 x}{x^{2} - 3 x}$
44245	Multiply	22*22	$22 \cdot 22$
44246	Multiply	125*5	$125 \cdot 5$
44247	Multiply	(3 square root of x+2)x^2	$(3 \sqrt{x} + 2) x^{2}$
44248	Multiply	12*25	$12 \cdot 25$
44249	Multiply	2.5*2	$2.5 \cdot 2$
44250	Multiply	4x*4x	$4 x \cdot 4 x$
44251	Multiply	15*16	$15 \cdot 16$
44252	Multiply	2*19	$2 \cdot 19$
44253	Multiply	2x*2	$2 x \cdot 2$
44254	Multiply	square root of x(2x)	$\sqrt{x} (2 x)$
44255	Multiply	sin(x)*cos(x)	$\sin (x) \cdot \cos (x)$
44256	Multiply	(x)(2x)	$(x) (2 x)$
44257	Multiply	35*2	$35 \cdot 2$
44258	Divide	28/7	$\frac{28}{7}$
44259	Divide	108/3	$\frac{108}{3}$
44260	Divide	81/2	$\frac{81}{2}$
44261	Divide	128/4	$\frac{128}{4}$
44262	Divide	25/4	$\frac{25}{4}$
44263	Divide	100/3	$\frac{100}{3}$
44264	Divide	72÷2	$72 \div 2$
44265	Divide	16÷2	$16 \div 2$
44266	Divide	6/0	$\frac{6}{0}$
44267	Divide	39/3	$\frac{39}{3}$
44268	Find the Local Maxima and Minima	x^4-200x^2+10000	$x^{4} - 200 x^{2} + 10000$
44269	Find the Local Maxima and Minima	x^3-2x^2	$x^{3} - 2 x^{2}$
44270	Find the Local Maxima and Minima	x^3-3x+7	$x^{3} - 3 x + 7$
44271	Find the Local Maxima and Minima	3x^2+4x+2	$3 x^{2} + 4 x + 2$
44272	Find the Local Maxima and Minima	x^3-2x^2+1x	$x^{3} - 2 x^{2} + 1 x$
44273	Find the Local Maxima and Minima	9x^4-4x^3	$9 x^{4} - 4 x^{3}$
44274	Find the Local Maxima and Minima	-5x^2+8x-6	$- 5 x^{2} + 8 x - 6$
44275	Find the Local Maxima and Minima	(4x)/((x+4)^2)	$\frac{4 x}{{(x + 4)}^{2}}$
44276	Find the Local Maxima and Minima	(x^2+12)(144-x^2)	$(x^{2} + 12) (144 - x^{2})$
44277	Find the Local Maxima and Minima	x^4-32x+3	$x^{4} - 32 x + 3$
44278	Find the Local Maxima and Minima	y=x^3-12x+1	$y = x^{3} - 12 x + 1$
44279	Find the Maximum/Minimum Value	f(x)=8x+x^2	$f (x) = 8 x + x^{2}$
44280	Convert from Radians to Degrees	arccos(-( square root of 3)/2)	$\arccos (- \frac{\sqrt{3}}{2})$
44281	Convert from Radians to Degrees	1.73205080	$1.7320508$
44282	Evaluate the Function	f(1)=x^3-3x	$f (1) = x^{3} - 3 x$
44283	Find dy/dx at (0,p/5)	sin(5y)=x ; (0,pi/5)	$\sin (5 y) = x$ ; $(0, \frac{π}{5})$
44284	Find dx/dy at (1,2)	y^2=4x ; (1,2)	$y^{2} = 4 x$ ; $(1, 2)$
44285	Find the Local Maxima and Minima	f(x)=49x+16/x	$f (x) = 49 x + \frac{16}{x}$
44286	Find the Local Maxima and Minima	f(x)=x^3-6x^2-15x+11	$f (x) = x^{3} - 6 x^{2} - 15 x + 11$
44287	Find the Local Maxima and Minima	f(x)=x^3-75x	$f (x) = x^{3} - 75 x$
44288	Find the Inflection Points	3x^4-4x^3+6	$3 x^{4} - 4 x^{3} + 6$
44289	Find the Inflection Points	x^3-12x^2+2x+15	$x^{3} - 12 x^{2} + 2 x + 15$
44290	Expand the Logarithmic Expression	log of square root of 6m^4	$\log (\sqrt{6 m^{4}})$
44291	Expand the Logarithmic Expression	log of (z^5)/( square root of x^3y)	$\log (\frac{z^{5}}{\sqrt{x^{3} y}})$
44292	Find the Second Derivative	y=8sin(x)	$y = 8 \sin (x)$
44293	Find the Second Derivative	y=e^(10x)cos(x)	$y = e^{10 x} \cos (x)$
44294	Find the Second Derivative	y=14xcos(x)	$y = 14 x \cos (x)$
44295	Find the Second Derivative	y=(x-1)(x^2+2x-6)	$y = (x - 1) (x^{2} + 2 x - 6)$
44296	Find the Second Derivative	y=e^(5x)cos(x)	$y = e^{5 x} \cos (x)$
44297	Find the Second Derivative	y=xe^(9x)	$y = x e^{9 x}$
44298	Find the Second Derivative	y=5xsin(x^2)	$y = 5 x \sin (x^{2})$
44299	Find the Second Derivative	y=3xe^x	$y = 3 x e^{x}$
44300	Find the Second Derivative	s=7t^4-4t^7	$s = 7 t^{4} - 4 t^{7}$