Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
8201	Find the Derivative - d/dx	1-cos(2x)-2cos(x)^2	$1 - \cos (2 x) - 2 \cos^{2} (x)$
8202	Find the Derivative - d/dx	(3-2x)^2	${(3 - 2 x)}^{2}$
8203	Find the Derivative - d/dx	(14x-x^2)^3	${(14 x - x^{2})}^{3}$
8204	Find the Derivative - d/dx	(3x-2)^3	${(3 x - 2)}^{3}$
8205	Find the Derivative - d/dx	(4x-3)^(1/2)	${(4 x - 3)}^{\frac{1}{2}}$
8206	Find the Derivative - d/dx	(5x+4)^3	${(5 x + 4)}^{3}$
8207	Find the Derivative - d/dx	(x^3-8)^(2/3)	${(x^{3} - 8)}^{\frac{2}{3}}$
8208	Find the Derivative - d/dx	(x^2+y^2)sin(1/(x^2+y^2))	$(x^{2} + y^{2}) \sin (\frac{1}{x^{2} + y^{2}})$
8209	Find the Derivative - d/dx	(13x^2-26x+26)e^x	$(13 x^{2} - 26 x + 26) e^{x}$
8210	Find the Derivative - d/dt	tcos(t)	$t \cos (t)$
8211	Find the Derivative - d/du	u^3	$u^{3}$
8212	Find the Derivative - d/du	arcsin(u)	$\arcsin (u)$
8213	Find the Derivative - d/dn	2^n	$2^{n}$
8214	Find the Derivative - d/db	cos(bx^2)	$\cos (b x^{2})$
8215	Find the Derivative - d/da	(6a+1)^2	${(6 a + 1)}^{2}$
8216	Find the Derivative - d/dt	t/2	$\frac{t}{2}$
8217	Find the Derivative - d/dt	3t	$3 t$
8218	Find the Derivative - d/dt	e^(2tsin(2t))	$e^{2 t \sin (2 t)}$
8219	Find the Derivative - d/dt	e^(8tsin(2t))	$e^{8 t \sin (2 t)}$
8220	Find the Derivative - d/dt	e^(r(theta-t))S^-1	$e^{r (θ - t)} S^{- 1}$
8221	Find the Derivative - d/dK	20L^0.5K^0.5	$20 L^{0.5} K^{0.5}$
8222	Find the Derivative - d/dr	48pr^2-2p^2r^3	$48 p r^{2} - 2 p^{2} r^{3}$
8223	Find the Derivative - d/ds	s	$s$
8224	Find the Derivative - d/dx	3e^(2x)	$3 e^{2 x}$
8225	Find the Derivative - d/dx	-3x	$- 3 x$
8226	Find the Derivative - d/dx	3xe^(3x)	$3 x e^{3 x}$
8227	Find the Derivative - d/dx	-4sec(x)+2csc(x)	$- 4 \sec (x) + 2 \csc (x)$
8228	Find the Derivative - d/dx	4x^3-6x	$4 x^{3} - 6 x$
8229	Find the Derivative - d/dx	4x^3-76x^2+361x	$4 x^{3} - 76 x^{2} + 361 x$
8230	Find the Derivative - d/dx	4x^3-51x^2-180x+11	$4 x^{3} - 51 x^{2} - 180 x + 11$
8231	Find the Derivative - d/dx	4x^2-5	$4 x^{2} - 5$
8232	Find the Derivative - d/dx	9cos(x)	$9 \cos (x)$
8233	Find the Derivative - d/dx	arctan((1+x)/(1-x))	$\arctan (\frac{1 + x}{1 - x})$
8234	Find the Derivative - d/dx	csc(x^2)	$\csc (x^{2})$
8235	Find the Derivative - d/dx	csc(8x)	$\csc (8 x)$
8236	Find the Derivative - d/dx	cos(pix)	$\cos (π x)$
8237	Find the Derivative - d/dx	cot(2x)	$\cot (2 x)$
8238	Find the Derivative - d/dx	cos(e^(-5x^4))	$\cos (e^{- 5 x^{4}})$
8239	Find the Derivative - d/dx	5tan(3x)	$5 \tan (3 x)$
8240	Find the Derivative - d/dx	sin(x/4)	$\sin (\frac{x}{4})$
8241	Find the Derivative - d/dx	sin(1/x)	$\sin (\frac{1}{x})$
8242	Find the Derivative - d/dx	sin(e^(2x))	$\sin (e^{2 x})$
8243	Find the Derivative - d/dx	sin(x+y)	$\sin (x + y)$
8244	Find the Derivative - d/dx	sin(x)sin(x)	$\sin (x) \sin (x)$
8245	Find the Derivative - d/dx	x(23-2x)(43-2x)	$x (23 - 2 x) (43 - 2 x)$
8246	Find the Derivative - d/dx	x+ square root of x	$x + \sqrt{x}$
8247	Find the Derivative - d/dy	2y^2	$2 y^{2}$
8248	Find the Derivative - d/dy	sin(xy)	$\sin (x y)$
8249	Find the Derivative - d/dZ	pi/7*cos(x)-cos(x)	$\frac{π}{7} \cdot \cos (x) - \cos (x)$
8250	Find the 2nd Derivative	(9x+4)^4	${(9 x + 4)}^{4}$
8251	Find the 2nd Derivative	3/x	$\frac{3}{x}$
8252	Find the 2nd Derivative	(7x+3)^4	${(7 x + 3)}^{4}$
8253	Find the 2nd Derivative	e^(-3x^2)	$e^{- 3 x^{2}}$
8254	Find the 2nd Derivative	e^(x^2+2x)	$e^{x^{2} + 2 x}$
8255	Find the 2nd Derivative	(2x+3)^4	${(2 x + 3)}^{4}$
8256	Find the 2nd Derivative	(6a-a^2)^10	${(6 a - a^{2})}^{10}$
8257	Find the 2nd Derivative	x^4(x-1)^3	$x^{4} {(x - 1)}^{3}$
8258	Find the 2nd Derivative	x^(8/3)-4x^(5/3)	$x^{\frac{8}{3}} - 4 x^{\frac{5}{3}}$
8259	Find the 2nd Derivative	t^3-27t	$t^{3} - 27 t$
8260	Find the 2nd Derivative	sin(4x+9)^2	$\sin^{2} (4 x + 9)$
8261	Find the 2nd Derivative	y=csc(x)	$y = \csc (x)$
8262	Find the 2nd Derivative	square root of r+ sixth root of r	$\sqrt{r} + \sqrt[6]{r}$
8263	Find the 2nd Derivative	x^2e^(-x)	$x^{2} e^{- x}$
8264	Find the 2nd Derivative	x^2y	$x^{2} y$
8265	Find the 2nd Derivative	2p	$2 p$
8266	Find the 2nd Derivative	2x^(5/3)-5x^(4/3)	$2 x^{\frac{5}{3}} - 5 x^{\frac{4}{3}}$
8267	Evaluate the Summation	sum from j=2 to 30 of 6j-(4j^2)/3	$\sum_{j = 2}^{30} 6 j - \frac{4 j^{2}}{3}$
8268	Evaluate the Summation	sum from k=1 to 4 of (k+7)^2	$\sum_{k = 1}^{4} {(k + 7)}^{2}$
8269	Evaluate the Summation	sum from k=1 to 6 of (-1)^k*3^k	$\sum_{k = 1}^{6} {(- 1)}^{k} \cdot 3^{k}$
8270	Evaluate the Summation	sum from k=1 to 8 of -4k^2+6k	$\sum_{k = 1}^{8} - 4 k^{2} + 6 k$
8271	Evaluate the Summation	sum from x=3 to 3 of 5x-2	$\sum_{x = 3}^{3} 5 x - 2$
8272	Evaluate the Summation	sum from 65536 to 1 of natural log of 150	$\sum_{65536}^{1} \ln (150)$
8273	Evaluate the Summation	sum from i=1 to 70 of -7i+11	$\sum_{i = 1}^{70} - 7 i + 11$
8274	Evaluate the Summation	sum from i=1 to 6 of 3i-2	$\sum_{i = 1}^{6} 3 i - 2$
8275	Evaluate the Summation	sum from i=1 to 9 of 4^i	$\sum_{i = 1}^{9} 4^{i}$
8276	Evaluate the Summation	sum from i=1 to 5 of 4^i	$\sum_{i = 1}^{5} 4^{i}$
8277	Evaluate the Summation	sum from i=1 to 5 of -6i+1	$\sum_{i = 1}^{5} - 6 i + 1$
8278	Evaluate the Summation	sum from i=1 to 28 of 8i-13	$\sum_{i = 1}^{28} 8 i - 13$
8279	Evaluate the Summation	sum from i=1 to 22 of i(i-1)^2	$\sum_{i = 1}^{22} i {(i - 1)}^{2}$
8280	Evaluate the Summation	sum from i=1 to 10 of 2^i	$\sum_{i = 1}^{10} 2^{i}$
8281	Evaluate the Summation	sum from i=1 to 16 of 5i-4	$\sum_{i = 1}^{16} 5 i - 4$
8282	Evaluate the Summation	sum from 1 to 225 of 3x-7	$\sum_{1}^{225} 3 x - 7$
8283	Evaluate the Summation	sum from n=3 to 8 of 5n	$\sum_{n = 3}^{8} 5 n$
8284	Evaluate the Summation	sum from n=3 to 8 of n+25	$\sum_{n = 3}^{8} n + 25$
8285	Evaluate the Summation	sum from n=1 to 8 of n	$\sum_{n = 1}^{8} n$
8286	Evaluate the Summation	sum from n=2 to 6 of 2n-1	$\sum_{n = 2}^{6} 2 n - 1$
8287	Evaluate the Summation	sum from n=1 to 8 of (1/3)^n	$\sum_{n = 1}^{8} {(\frac{1}{3})}^{n}$
8288	Evaluate the Summation	sum from k=5 to 8 of 5a	$\sum_{k = 5}^{8} 5 a$
8289	Evaluate the Summation	sum from n=1 to 5 of 3(0.2)^(n-1)	$\sum_{n = 1}^{5} 3 {(0.2)}^{n - 1}$
8290	Evaluate the Summation	sum from n=1 to 100 of n	$\sum_{n = 1}^{100} n$
8291	Evaluate the Summation	sum from n=0 to 8 of x^n	$\sum_{n = 0}^{8} x^{n}$
8292	Evaluate the Summation	sum from k=0 to 10 of 4(1/2)^k	$\sum_{k = 0}^{10} 4 {(\frac{1}{2})}^{k}$
8293	Evaluate the Summation	sum from n=1 to 15 of 1/2n+4	$\sum_{n = 1}^{15} \frac{1}{2} n + 4$
8294	Evaluate the Summation	sum from n=1 to 3 of 17n-15	$\sum_{n = 1}^{3} 17 n - 15$
8295	Evaluate the Summation	sum from n=1 to 5 of 3(-2)^(n-1)	$\sum_{n = 1}^{5} 3 {(- 2)}^{n - 1}$
8296	Evaluate the Summation	sum from n=1 to 5 of 4n-3	$\sum_{n = 1}^{5} 4 n - 3$
8297	Evaluate the Summation	sum from k=1 to 4 of (-1)^kcos(kpi)	$\sum_{k = 1}^{4} {(- 1)}^{k} \cos (k π)$
8298	Evaluate the Summation	sum from n=1 to 6 of 2(5)^n	$\sum_{n = 1}^{6} 2 {(5)}^{n}$
8299	Evaluate the Summation	sum from k=1 to 30 of k(k-2)(k+2)	$\sum_{k = 1}^{30} k (k - 2) (k + 2)$
8300	Evaluate the Summation	sum from k=1 to 4 of (-1/7)^k	$\sum_{k = 1}^{4} {(- \frac{1}{7})}^{k}$