Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
64101	Find the Derivative - d/dt	t^2-1/(t^3)	$t^{2} - \frac{1}{t^{3}}$
64102	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of x^4e^(-x^2)	$lim_{x \to \infty} x^{4} e^{- x^{2}}$
64103	Divide	((6-x)/(x^2+2x-3))÷((x^2-4x-12)/(x^2+4x+3))	$\frac{6 - x}{x^{2} + 2 x - 3} \div \frac{x^{2} - 4 x - 12}{x^{2} + 4 x + 3}$
64104	Solve for m	48/(m+2)-24/(m-2)=1	$\frac{48}{m + 2} - \frac{24}{m - 2} = 1$
64105	Find the Integral	4sin(x)^2	$4 \sin^{2} (x)$
64106	Find the Integral	e^(2t)	$e^{2 t}$
64107	Find the Integral	1/(u^2)	$\frac{1}{u^{2}}$
64108	Find the Integral	integral of (x^4+9)^8(4*x^3) with respect to x	$\int {(x^{4} + 9)}^{8} (4 x^{3} d x) d x$
64109	Find the Integral	integral of 3/x with respect to x	$\int \frac{3}{x} d x$
64110	Find the Integral	integral of sin(x)^2cos(x)^2 with respect to x	$\int \sin^{2} (x) \cos^{2} (x) d x$
64111	Find the Range	y = square root of 2x+1	$y = \sqrt{2 x + 1}$
64112	Find the Critical Points	y=2x^3+3x^2-12x+7	$y = 2 x^{3} + 3 x^{2} - 12 x + 7$
64113	Find the Second Derivative	2xe^(-x)	$2 x e^{- x}$
64114	Evaluate the Summation	sum from n=1 to 8 of 1/4n+1	$\sum_{n = 1}^{8} \frac{1}{4} n + 1$
64115	Evaluate the Summation	sum from n=3 to 9 of n-3	$\sum_{n = 3}^{9} n - 3$
64116	Evaluate the Summation	sum from n=1 to 60 of 3n-6	$\sum_{n = 1}^{60} 3 n - 6$
64117	Evaluate the Summation	sum from n=1 to 3 of 3n-2	$\sum_{n = 1}^{3} 3 n - 2$
64118	Evaluate the Summation	sum from n=1 to infinity of (1/4)^n	$\sum_{n = 1}^{\infty} {(\frac{1}{4})}^{n}$
64119	Evaluate the Summation	sum from k=5 to 10 of 5k+4	$\sum_{k = 5}^{10} 5 k + 4$
64120	Evaluate the Summation	sum from k=2 to 4 of 5(2/3)^k	$\sum_{k = 2}^{4} 5 {(\frac{2}{3})}^{k}$
64121	Evaluate the Summation	sum from k=1 to 18 of 5	$\sum_{k = 1}^{18} 5$
64122	Evaluate the Summation	sum from k=1 to 3 of 0.45(8)^(k-1)	$\sum_{k = 1}^{3} 0.45 {(8)}^{k - 1}$
64123	Find dy/dx	3x-2y=x^2-2	$3 x - 2 y = x^{2} - 2$
64124	Find dy/dx	2y-x+xy=6	$2 y - x + x y = 6$
64125	Find dy/dx	cos(x+y)=x	$\cos (x + y) = x$
64126	Find dy/dx	(dy)/(dx)=1/x	$\frac{d y}{d x} = \frac{1}{x}$
64127	Find dy/dx	6y-6x^2=x-6	$6 y - 6 x^{2} = x - 6$
64128	Find dy/dx	6x^4+5y^4=11xy	$6 x^{4} + 5 y^{4} = 11 x y$
64129	Find dy/dx	4x^5+5y^5=9xy	$4 x^{5} + 5 y^{5} = 9 x y$
64130	Find dy/dx	y=1/(x^13)	$y = \frac{1}{x^{13}}$
64131	Find dy/dx	y=(4x^2-14)^-11	$y = {(4 x^{2} - 14)}^{- 11}$
64132	Find dy/dx	xy-x+y=3	$x y - x + y = 3$
64133	Find dy/dx	xy^3-e^(2y)=5	$x y^{3} - e^{2 y} = 5$
64134	Find dy/dx	xy+3x+2x^2=4	$x y + 3 x + 2 x^{2} = 4$
64135	Find dy/dx	y=8x^3	$y = 8 x^{3}$
64136	Find dy/dx	y=9x^3	$y = 9 x^{3}$
64137	Find dy/dx	y=-9x^3	$y = - 9 x^{3}$
64138	Find dy/dx	y=e^(5 square root of x)	$y = e^{5 \sqrt{x}}$
64139	Find dy/dx	y=18 square root of x	$y = 18 \sqrt{x}$
64140	Find dy/dx	y=(csc(x)+cot(x))^-1	$y = {(\csc (x) + \cot (x))}^{- 1}$
64141	Find dy/dx	y = square root of 5x^2+4	$y = \sqrt{5 x^{2} + 4}$
64142	Evaluate the Summation	sum from i=1 to 9 of 3*2^i	$\sum_{i = 1}^{9} 3 \cdot 2^{i}$
64143	Evaluate the Summation	sum from i=2 to 5 of 300/i	$\sum_{i = 2}^{5} \frac{300}{i}$
64144	Evaluate the Summation	sum from i=1 to infinity of -3*0.7^(i-1)	$\sum_{i = 1}^{\infty} - 3 {(0.7)}^{i - 1}$
64145	Evaluate the Summation	sum from i=1 to 1000 of 3i	$\sum_{i = 1}^{1000} 3 i$
64146	Find dy/dx	y=-x^2-3x-2	$y = - x^{2} - 3 x - 2$
64147	Find the Derivative Using Quotient Rule - d/dx	((x^2-3x^2+2x-1)dx)/(x^2-4x+4)	$\frac{(x^{2} - 3 x^{2} + 2 x - 1) d x}{x^{2} - 4 x + 4}$
64148	Find the Critical Points	f(x)=x^3-6x^2-63x	$f (x) = x^{3} - 6 x^{2} - 63 x$
64149	Find the Derivative - d/dt	(100t)/(t+1)	$\frac{100 t}{t + 1}$
64150	Find the Derivative - d/d@VAR	s(t)=4.905t^2	$s (t) = 4.905 t^{2}$
64151	Find the Derivative - d/d@VAR	s(t)=(3t)/(sin(t))	$s (t) = \frac{3 t}{\sin (t)}$
64152	Find the Derivative - d/d@VAR	h(x)=x^2arctan(7x)	$h (x) = x^{2} \arctan (7 x)$
64153	Find the Derivative - d/d@VAR	f(x)=x^8(x-3)^7	$f (x) = x^{8} {(x - 3)}^{7}$
64154	Find the Derivative - d/d@VAR	g(t)=18 square root of t	$g (t) = 18 \sqrt{t}$
64155	Find the Derivative - d/d@VAR	g(t)=-((t^2-2)/(t-1))	$g (t) = - (\frac{(t^{2} - 2)}{t - 1})$
64156	Find the Derivative - d/dy	1/3y^3	$\frac{1}{3} y^{3}$
64157	Find the Derivative - d/dy	sin(5y)	$\sin (5 y)$
64158	Find the Derivative - d/dy	e^(8xy)	$e^{8 x y}$
64159	Find the Derivative - d/dy	x^2+y^2=25	$x^{2} + y^{2} = 25$
64160	Find the Derivative - d/dy	(y^6)/6+1/(16y^4)	$\frac{y^{6}}{6} + \frac{1}{16 y^{4}}$
64161	Find the Derivative - d/dy	(y^3)/27+9/(4y)	$\frac{y^{3}}{27} + \frac{9}{4 y}$
64162	Find the Derivative - d/dy	(y^3)/8	$\frac{y^{3}}{8}$
64163	Find the Derivative - d/d@VAR	f(x)=cos((pix)/2)	$f (x) = \cos (\frac{π x}{2})$
64164	Find the Derivative - d/d@VAR	f(x)=cos(3x)^2	$f (x) = \cos^{2} (3 x)$
64165	Find the Derivative - d/d@VAR	f(x) = square root of x^2+5x+3	$f (x) = \sqrt{x^{2} + 5 x + 3}$
64166	Find the Derivative - d/d@VAR	f(x)=(e^x)/(x^8)	$f (x) = \frac{e^{x}}{x^{8}}$
64167	Find the Derivative - d/d@VAR	F(x)=(5x^6+2x^3)^4	$F (x) = {(5 x^{6} + 2 x^{3})}^{4}$
64168	Find the Derivative - d/d@VAR	f(x)=(7x^2-11x)e^x	$f (x) = (7 x^{2} - 11 x) e^{x}$
64169	Find the Derivative - d/d@VAR	f(x)=(4x^2+9)^5	$f (x) = {(4 x^{2} + 9)}^{5}$
64170	Find the Derivative - d/d@VAR	f(x)=(4x^2-6x)e^x	$f (x) = (4 x^{2} - 6 x) e^{x}$
64171	Find the Derivative - d/d@VAR	f(x)=sin(x^4)	$f (x) = \sin (x^{4})$
64172	Find the Derivative - d/d@VAR	f(x)=sin(x)^3	$f (x) = \sin^{3} (x)$
64173	Find the Derivative - d/d@VAR	f(x)=arcsec(5x)	$f (x) = arcsec (5 x)$
64174	Find the Derivative - d/d@VAR	f(x)=e^x(3x^2-2x^3)	$f (x) = e^{x} (3 x^{2} - 2 x^{3})$
64175	Find the Derivative - d/d@VAR	f(x)=e^(arctan(5x))	$f (x) = e^{\arctan (5 x)}$
64176	Find the Derivative - d/d@VAR	f(x)=2e^(3x)	$f (x) = 2 e^{3 x}$
64177	Find the Derivative - d/d@VAR	f(x)=2 natural log of 9x	$f (x) = 2 \ln (9 x)$
64178	Find the Derivative - d/d@VAR	f(x)=2(pi-e)^4	$f (x) = 2 {(π - e)}^{4}$
64179	Find the Derivative - d/d@VAR	f(x)=18	$f (x) = 18$
64180	Find the Derivative - d/d@VAR	f(x)=186.5	$f (x) = 186.5$
64181	Find the Derivative - d/d@VAR	f(x)=11e^x	$f (x) = 11 e^{x}$
64182	Find the Derivative - d/d@VAR	f(x)=5x-x^2	$f (x) = 5 x - x^{2}$
64183	Find the Derivative - d/d@VAR	f(x)=4x^2-6x+8	$f (x) = 4 x^{2} - 6 x + 8$
64184	Find the Derivative - d/d@VAR	f(x)=4xe^(x^2-1)	$f (x) = 4 x e^{(x^{2} - 1)}$
64185	Find the Derivative - d/d@VAR	F(x)=4 natural log of x	$F (x) = 4 \ln (x)$
64186	Find the Derivative - d/d@VAR	f(x)=3x^7(x^5-5x)	$f (x) = 3 x^{7} (x^{5} - 5 x)$
64187	Find the Derivative - d/d@VAR	f(t)=4t^2-2t	$f (t) = 4 t^{2} - 2 t$
64188	Find the Derivative - d/d@VAR	f(t)=(e^(10t)+e^(-10t))/(e^(8t))	$f (t) = \frac{e^{10 t} + e^{- 10 t}}{e^{8 t}}$
64189	Find the Derivative - d/d@VAR	f(x)=32/x	$f (x) = \frac{32}{x}$
64190	Find the Derivative - d/d@VAR	f(x)=2/5x^10	$f (x) = \frac{2}{5} x^{10}$
64191	Find the Derivative - d/d@VAR	f(x)=1/(tan(x)^2)	$f (x) = \frac{1}{\tan^{2} (x)}$
64192	Convert to Interval Notation	-5<x<5	$- 5 < x < 5$
64193	Solve for v	v=4/3pi(3)^3	$v = \frac{4}{3} π {(3)}^{3}$
64194	Solve for t	400-16t^2=0	$400 - 16 t^{2} = 0$
64195	Write in Exponential Form	(x^4y^2)/( fourth root of x^3y^2)	$\frac{x^{4} y^{2}}{\sqrt[4]{x^{3} y^{2}}}$
64196	Find the Local Maxima and Minima	f(x)=x^4-8x^2-4x+1	$f (x) = x^{4} - 8 x^{2} - 4 x + 1$
64197	Find dy/dx	y=x^(3/2)	$y = x^{\frac{3}{2}}$
64198	Find dy/dx	y=x^(9x)	$y = x^{9 x}$
64199	Evaluate the Summation	sum from i=1 to 100 of i	$\sum_{i = 1}^{100} i$
64200	Evaluate the Summation	sum from i=2 to 5 of 4i-3	$\sum_{i = 2}^{5} 4 i - 3$