Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
64301	Find the Derivative - d/d@VAR	f(x)=x^3-6x	$f (x) = x^{3} - 6 x$
64302	Find the Derivative - d/d@VAR	f(x)=x^3-15x^2+72x	$f (x) = x^{3} - 15 x^{2} + 72 x$
64303	Find the Derivative - d/d@VAR	f(x)=x^3-2x	$f (x) = x^{3} - 2 x$
64304	Find the Derivative - d/d@VAR	h(t)=(t^4-1)^7(t^3+1)^4	$h (t) = {(t^{4} - 1)}^{7} {(t^{3} + 1)}^{4}$
64305	Find the Derivative - d/d@VAR	h(s)=(s^3-5)^2	$h (s) = {(s^{3} - 5)}^{2}$
64306	Find the Derivative - d/d@VAR	h(x)=x^2arctan(8x)	$h (x) = x^{2} \arctan (8 x)$
64307	Find the Derivative - d/d@VAR	h(x)=x^2e^(2x)	$h (x) = x^{2} e^{2 x}$
64308	Find the Derivative - d/d@VAR	x(t)=12e^(-t)sin(t)	$x (t) = 12 e^{- t} \sin (t)$
64309	Find the Derivative - d/dr	q = square root of 19r-r^3	$q = \sqrt{19 r - r^{3}}$
64310	Find the Derivative - d/ds	-12/(s^6)	$- \frac{12}{s^{6}}$
64311	Find the Derivative - d/dt	8tsin(pit)	$8 t \sin (π t)$
64312	Divide	500/3	$\frac{500}{3}$
64313	Divide	200/3	$\frac{200}{3}$
64314	Divide	100/5	$\frac{100}{5}$
64315	Find the Domain and Range	y = square root of 10x+1	$y = \sqrt{10 x + 1}$
64316	Evaluate Using the Squeeze Theorem	limit as x approaches 0 of (sin(x))/x	$lim_{x \to 0} \frac{\sin (x)}{x}$
64317	Find the Inflection Points	f(x)=3x^5-5x^4+15x-10	$f (x) = 3 x^{5} - 5 x^{4} + 15 x - 10$
64318	Find the Inflection Points	p(x)=4x^3-9x^4	$p (x) = 4 x^{3} - 9 x^{4}$
64319	Find the Asymptotes	(x^3-3x^2+2x-1)/(x^2-4x+4)	$\frac{(x^{3} - 3 x^{2} + 2 x - 1)}{x^{2} - 4 x + 4}$
64320	Solve the System of @WORD	x^2-5x-14<0	$x^{2} - 5 x - 14 < 0$
64321	Find the Derivative Using Chain Rule - d/dx	y=(6x-5)^2(3-x^5)^2	$y = {(6 x - 5)}^{2} {(3 - x^{5})}^{2}$
64322	Find the Derivative Using Chain Rule - d/dx	integral from 0 to 1 of (3x^2-x^2+2x-4)/( square root of x^2-3x+2) with respect to x	$\int_{0}^{1} \frac{3 x^{2} - x^{2} + 2 x - 4}{\sqrt{x^{2} - 3 x + 2}} d x$
64323	Solve for n	a_n=n+4	$a_{n} = n + 4$
64324	Solve for p	x=6000-20p	$x = 6000 - 20 p$
64325	Solve for t	0=3t^2-3	$0 = 3 t^{2} - 3$
64326	Solve for t	i=50cos(100pit)	$i = 50 \cos (100 π t)$
64327	Evaluate the Derivative at t=-7	s=t^3-8t^2 , t=-7	$s = t^{3} - 8 t^{2}$ , $t = - 7$
64328	Find the Roots (Zeros)	f(x)=11x^2-9x+1	$f (x) = 11 x^{2} - 9 x + 1$
64329	Evaluate the Function	f(3)=9t^3-9t^2+t+7	$f (3) = 9 t^{3} - 9 t^{2} + t + 7$
64330	Find the Second Derivative	4sin(3x)	$4 \sin (3 x)$
64331	Find the Second Derivative	(x^2+8)^6	${(x^{2} + 8)}^{6}$
64332	Evaluate the Summation	sum from n=10 to 15 of n+3/n	$\sum_{n = 10}^{15} n + \frac{3}{n}$
64333	Evaluate the Summation	sum from n=1 to 5 of 8n-1	$\sum_{n = 1}^{5} 8 n - 1$
64334	Evaluate the Summation	sum from 1 to infinity of 1000(1.01)^n	$\sum_{1}^{\infty} 1000 {(1.01)}^{n}$
64335	Evaluate the Summation	sum from x=1 to 900 of 4x+6	$\sum_{x = 1}^{900} 4 x + 6$
64336	Evaluate the Summation	sum from n=1 to 30 of 32000+1200(n-1)	$\sum_{n = 1}^{30} 32000 + 1200 (n - 1)$
64337	Evaluate the Summation	sum from n=1 to 15 of 18-(n-1)	$\sum_{n = 1}^{15} 18 - (n - 1)$
64338	Evaluate the Summation	sum from n=1 to 50 of 2n-3	$\sum_{n = 1}^{50} 2 n - 3$
64339	Evaluate the Summation	sum from n=1 to 43 of 3+9n	$\sum_{n = 1}^{43} 3 + 9 n$
64340	Evaluate the Summation	sum from n=1 to 80 of 1/3n+1/2	$\sum_{n = 1}^{80} \frac{1}{3} n + \frac{1}{2}$
64341	Evaluate the Summation	sum from n=1 to 120 of 2n-6	$\sum_{n = 1}^{120} 2 n - 6$
64342	Evaluate the Summation	sum from n=1 to 100 of 2n-5	$\sum_{n = 1}^{100} 2 n - 5$
64343	Evaluate the Summation	sum from n=1 to 10 of 5n+3	$\sum_{n = 1}^{10} 5 n + 3$
64344	Evaluate the Summation	sum from n=1 to 5 of 3n-2	$\sum_{n = 1}^{5} 3 n - 2$
64345	Evaluate the Summation	sum from n=0 to 4 of 3-2n	$\sum_{n = 0}^{4} 3 - 2 n$
64346	Evaluate the Summation	sum from n=0 to 6 of (3)^n	$\sum_{n = 0}^{6} {(3)}^{n}$
64347	Evaluate the Summation	sum from k=2 to 5 of 2^(k-1)	$\sum_{k = 2}^{5} 2^{k - 1}$
64348	Evaluate the Summation	sum from k=2 to 5 of 4k	$\sum_{k = 2}^{5} 4 k$
64349	Evaluate the Summation	sum from k=1 to 25 of 11/3-5/3k	$\sum_{k = 1}^{25} \frac{11}{3} - \frac{5}{3} k$
64350	Evaluate the Summation	sum from k=1 to 28 of 9k-4	$\sum_{k = 1}^{28} 9 k - 4$
64351	Find the x and y Intercepts	f(x)=(x+4)/(x^2-3x-28)	$f (x) = \frac{x + 4}{x^{2} - 3 x - 28}$
64352	Evaluate the Summation	sum from 4 to 40 of 3i-4	$\sum_{4}^{40} 3 i - 4$
64353	Evaluate the Summation	12 sum from j=1 to 5 of 1/j	$12 \sum_{j = 1}^{5} \frac{1}{j}$
64354	Find dy/dx	3y=xe^(5y)	$3 y = x e^{5 y}$
64355	Find dy/dx	2x^3+x^4y-x^2y^3=2	$2 x^{3} + x^{4} y - x^{2} y^{3} = 2$
64356	Find dy/dx	sin(xy)=x	$\sin (x y) = x$
64357	Find dy/dx	cos(xy)+x^5=y^5	$\cos (x y) + x^{5} = y^{5}$
64358	Find dy/dt	y=(6tan(t))/(5+5sec(t))	$y = \frac{6 \tan (t)}{5 + 5 \sec (t)}$
64359	Find dy/dt	y=4t(2t+5)^3	$y = 4 t {(2 t + 5)}^{3}$
64360	Find dy/dx	x^2-5xy+3y^2=-1	$x^{2} - 5 x y + 3 y^{2} = - 1$
64361	Find dy/dx	x^3+y^3=-1/2	$x^{3} + y^{3} = - \frac{1}{2}$
64362	Find dy/dx	x^2+xy-y^3=7	$x^{2} + x y - y^{3} = 7$
64363	Find dy/dx	e^(5xy)=8y	$e^{5 x y} = 8 y$
64364	Find dy/dx	e^(4y)+x=7y	$e^{4 y} + x = 7 y$
64365	Find dy/dx	9xy+y^2=8x+y	$9 x y + y^{2} = 8 x + y$
64366	Find dy/dx	4x^3+x^2y-xy^3=8	$4 x^{3} + x^{2} y - x y^{3} = 8$
64367	Find dy/dx	y=1/(x^2+x)	$y = \frac{1}{x^{2} + x}$
64368	Find dy/dx	y=(6x-8)^3(2x+6)^3	$y = {(6 x - 8)}^{3} {(2 x + 6)}^{3}$
64369	Find dy/dx	x=(y^4)/4+1/(8y^2)	$x = \frac{y^{4}}{4} + \frac{1}{8 y^{2}}$
64370	Find dy/dx	x^4+y^4=32xy	$x^{4} + y^{4} = 32 x y$
64371	Find dy/dx	y^2+xy=2	$y^{2} + x y = 2$
64372	Find dy/dx	y^2-x^2=6	$y^{2} - x^{2} = 6$
64373	Find dy/dx	y=5x^3	$y = 5 x^{3}$
64374	Find dy/dx	y=-8x^3	$y = - 8 x^{3}$
64375	Find dy/dx	y=11x	$y = 11 x$
64376	Find dy/dx	y=2xarcsin(x)	$y = 2 x \arcsin (x)$
64377	Find dy/dx	y=-3x^3	$y = - 3 x^{3}$
64378	Find dy/dx	y = fourth root of (4x)/(4x-3)	$y = \sqrt[4]{\frac{4 x}{4 x - 3}}$
64379	Find dy/dx	y=sec(x)tan(x)	$y = \sec (x) \tan (x)$
64380	Find dy/dx	y = square root of 4+7x	$y = \sqrt{4 + 7 x}$
64381	Evaluate the Summation	sum from i=1 to 3 of 4x(1/2)^(i-1)	$\sum_{i = 1}^{3} 4 x {(\frac{1}{2})}^{i - 1}$
64382	Evaluate the Summation	sum from i=1 to 5 of ((-1)^(i-1))/((i+1)!)	$\sum_{i = 1}^{5} \frac{{(- 1)}^{i - 1}}{(i + 1)!}$
64383	Evaluate the Summation	sum from i=1 to 6 of 10i	$\sum_{i = 1}^{6} 10 i$
64384	Evaluate the Summation	sum from k=0 to 4 of 4^k	$\sum_{k = 0}^{4} 4^{k}$
64385	Evaluate the Summation	sum from i=1 to n of 6i	$\sum_{i = 1}^{n} 6 i$
64386	Evaluate the Summation	sum from i=1 to 9 of 5*2^i	$\sum_{i = 1}^{9} 5 \cdot 2^{i}$
64387	Evaluate the Summation	sum from i=1 to 7 of 3i+1	$\sum_{i = 1}^{7} 3 i + 1$
64388	Evaluate the Summation	sum from i=1 to infinity of 5(-0.3)^(i-1)	$\sum_{i = 1}^{\infty} 5 {(- 0.3)}^{i - 1}$
64389	Evaluate the Summation	sum from i=1 to 18 of 2i+7	$\sum_{i = 1}^{18} 2 i + 7$
64390	Evaluate the Summation	sum from i=1 to 18 of 2i+8	$\sum_{i = 1}^{18} 2 i + 8$
64391	Evaluate the Summation	sum from i=1 to 18 of 2i+9	$\sum_{i = 1}^{18} 2 i + 9$
64392	Evaluate the Summation	sum from i=1 to infinity of (4/9)^i	$\sum_{i = 1}^{\infty} {(\frac{4}{9})}^{i}$
64393	Find dy/dx	y=x^9	$y = x^{9}$
64394	Find dy/dx	y=xcos(7x)	$y = x \cos (7 x)$
64395	Find dy/dx	y=x^0.45	$y = x^{0.45}$
64396	Find dy/dx	y=arcsin(5x^4)	$y = \arcsin (5 x^{4})$
64397	Find dy/dx	y=arcsin(2x+1)	$y = \sin^{-1} (2 x + 1)$
64398	Find dy/dx	y=arcsin(7x^3)	$y = \sin^{-1} (7 x^{3})$
64399	Find the Derivative Using Quotient Rule - d/dx	((x^2-3x^x+2x-1)dx)/(x^2-4x+4)	$\frac{(x^{2} - 3 x^{x} + 2 x - 1) d x}{x^{2} - 4 x + 4}$
64400	Find the Derivative Using Quotient Rule - d/dx	y=(x^9)/(x^6)	$y = \frac{x^{9}}{x^{6}}$