Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
10201	Find the Derivative - d/dx	y=7e^(x+2)+2x	$y = 7 e^{x + 2} + 2 x$
10202	Find the Derivative - d/dx	y=7sin(3x+4)^3	$y = 7 \sin^{3} (3 x + 4)$
10203	Find the Derivative - d/dx	y=7+5x	$y = 7 + 5 x$
10204	Find the Derivative - d/dx	y=arccos(1/(1+x^2))	$y = \arccos (\frac{1}{1 + x^{2}})$
10205	Find the Derivative - d/dx	y=8sec(x)	$y = 8 \sec (x)$
10206	Find the Derivative - d/dx	y=8sin(5pix)	$y = 8 \sin (5 π x)$
10207	Find the Derivative - d/dx	y=9x^3+2x^2	$y = 9 x^{3} + 2 x^{2}$
10208	Find the Derivative - d/dx	y=9x^3+5x^2	$y = 9 x^{3} + 5 x^{2}$
10209	Find the Derivative - d/dx	y=arcsin(x^2)	$y = \arcsin (x^{2})$
10210	Find the Derivative - d/dx	y=8x	$y = 8 x$
10211	Find the Derivative - d/dx	y=arctan(x/6)	$y = \arctan (\frac{x}{6})$
10212	Find the Derivative - d/dx	y=arctan( natural log of 5x+5)	$y = \arctan (\ln (5 x + 5))$
10213	Find the Derivative - d/dx	y=arctan(sin(h(x)))	$y = \arctan (\sinh (x))$
10214	Find the Derivative - d/dx	y=cos( square root of sin(tan(pix)))	$y = \cos (\sqrt{\sin (\tan (π x))})$
10215	Find the Derivative - d/dx	y=cos(3x)	$y = \cos (3 x)$
10216	Find the Derivative - d/dy	y=x/(2-tan(x))	$y = \frac{x}{2 - \tan (x)}$
10217	Find the Derivative - d/dy	y = cube root of 3x^2	$y = \sqrt[3]{3 x^{2}}$
10218	Find the Derivative - d/dy	y=(sec(x))/x	$y = \frac{\sec (x)}{x}$
10219	Find the Derivative - d/dy	y = cube root of 6x^2+1	$y = \sqrt[3]{6 x^{2} + 1}$
10220	Find the Derivative - d/dy	y=x^2sin(4x)	$y = x^{2} \sin (4 x)$
10221	Find the Derivative - d/dy	y=x^3e^x	$y = x^{3} e^{x}$
10222	Find the Derivative - d/dy	y=x^3-5x^2+x+6	$y = x^{3} - 5 x^{2} + x + 6$
10223	Evaluate the Limit	limit as x approaches 2 of (3- square root of 5x-1)/(x-2)	$lim_{x \to 2} \frac{3 - \sqrt{5 x - 1}}{x - 2}$
10224	Find the Derivative - d/dy	y=x^7(x^2-5x)	$y = x^{7} (x^{2} - 5 x)$
10225	Find the Derivative - d/dy	y=1-cos(2x)+2cos(x)^2	$y = 1 - \cos (2 x) + 2 \cos^{2} (x)$
10226	Find the Derivative - d/dy	y=2e^(2x^2)	$y = 2 e^{2 x^{2}}$
10227	Find the Derivative - d/dy	y=3x^2+18-7	$y = 3 x^{2} + 18 - 7$
10228	Find the Derivative - d/dy	y=18x-18	$y = 18 x - 18$
10229	Find the Derivative - d/dy	y=(4x(sin(x)))/(3+cos(x))	$y = \frac{4 x (\sin (x))}{3 + \cos (x)}$
10230	Find the Derivative - d/dy	y=-4cos(x)	$y = - 4 \cos (x)$
10231	Find the Derivative - d/dy	y=4x^3+2x^2	$y = 4 x^{3} + 2 x^{2}$
10232	Find the Derivative - d/dy	y=3sin(x)cot(x)	$y = 3 \sin (x) \cot (x)$
10233	Find the Derivative - d/dy	y=4e^(-x)+3 natural log of x	$y = 4 e^{- x} + 3 \ln (x)$
10234	Find the Derivative - d/dy	y=5x^-2+9x^-1	$y = 5 x^{- 2} + 9 x^{- 1}$
10235	Find the Derivative - d/dy	y=6x	$y = 6 x$
10236	Find the Derivative - d/dy	y=4x-3x^2	$y = 4 x - 3 x^{2}$
10237	Find the Derivative - d/dy	y=6-x^2	$y = 6 - x^{2}$
10238	Find the Derivative - d/dy	y=arcsec(x)+arccsc(x)	$y = arcsec (x) + arccsc (x)$
10239	Find the Derivative - d/dx	3e^x+4/( cube root of x)	$3 e^{x} + \frac{4}{\sqrt[3]{x}}$
10240	Find the Derivative - d/dy	y=9x^(8/3)	$y = 9 x^{\frac{8}{3}}$
10241	Find the Derivative - d/d@VAR	f(x)=(1+2x^2)(x-x^2)	$f (x) = (1 + 2 x^{2}) (x - x^{2})$
10242	Find the Derivative - d/dy	y=e^(1/x)	$y = e^{\frac{1}{x}}$
10243	Find the Derivative - d/dy	y=(5x-2)/(4x+3)	$y = \frac{5 x - 2}{4 x + 3}$
10244	Find the Derivative - d/dy	y=(4x^(3/2))/x	$y = \frac{4 x^{\frac{3}{2}}}{x}$
10245	Find the Derivative - d/dy	y=(4sin(2x))/(3tan(3x))-cos(3x)^2	$y = \frac{4 \sin (2 x)}{3 \tan (3 x)} - \cos^{2} (3 x)$
10246	Find the Derivative - d/dy	y = square root of x^2+3x	$y = \sqrt{x^{2} + 3 x}$
10247	Find the Derivative - d/dy	y = square root of xsec(x)+3	$y = \sqrt{x} \sec (x) + 3$
10248	Find the Derivative - d/dy	y=cos(t)^4-sin(t)^4	$y = \cos^{4} (t) - \sin^{4} (t)$
10249	Find the Derivative - d/dy	y=(tan(x))/(1+tan(x))	$y = \frac{\tan (x)}{1 + \tan (x)}$
10250	Find the Derivative - d/dy	y = natural log of (4x^9+5x)^(5/3)	$y = \ln ({(4 x^{9} + 5 x)}^{\frac{5}{3}})$
10251	Find the Derivative - d/dy	y=e^(xsec(x))	$y = e^{x \sec (x)}$
10252	Find the Derivative - d/dy	y=-7x^2-2x	$y = - 7 x^{2} - 2 x$
10253	Find the Derivative - d/dy	y=(xe^x)/(sin(x))	$y = \frac{x e^{x}}{\sin (x)}$
10254	Find the Derivative - d/dy	y=1/(4 square root of x)*(1+1/(x square root of x))	$y = \frac{1}{4 \sqrt{x}} \cdot (1 + \frac{1}{x \sqrt{x}})$
10255	Evaluate	22e^(-0.2*5)	$22 e^{- 0.2 \cdot 5}$
10256	Find the Derivative - d/dy	y=(2x-6)/(4-x)	$y = \frac{2 x - 6}{4 - x}$
10257	Find the Derivative - d/dx	y=-2 natural log of e^(-3x)	$y = - 2 \ln (e^{- 3 x})$
10258	Find the Derivative - d/dx	y=25x^(1/5)(x^5+17)	$y = 25 x^{\frac{1}{5}} (x^{5} + 17)$
10259	Find the Derivative - d/dx	y=20.4-0.0007x	$y = 20.4 - 0.0007 x$
10260	Find the Derivative - d/dx	y=21x-4x^4	$y = 21 x - 4 x^{4}$
10261	Find the Derivative - d/dx	y=26x-5x^4	$y = 26 x - 5 x^{4}$
10262	Find the Derivative - d/dx	y=2x^4+tgx+3	$y = 2 x^{4} + t g x + 3$
10263	Find the Derivative - d/dx	y=2x^2-6x	$y = 2 x^{2} - 6 x$
10264	Find the Derivative - d/dx	y=2x^3+3x^2-12x+8	$y = 2 x^{3} + 3 x^{2} - 12 x + 8$
10265	Find the Derivative - d/dx	y=2x^3+9x^2	$y = 2 x^{3} + 9 x^{2}$
10266	Find the Derivative - d/dx	y=3x^2-15x-8x^-2	$y = 3 x^{2} - 15 x - 8 x^{- 2}$
10267	Find the Derivative - d/dx	y=3x^2+3	$y = 3 x^{2} + 3$
10268	Find the Derivative - d/dx	y=3x^2+6x	$y = 3 x^{2} + 6 x$
10269	Find the Derivative - d/dx	y=2x+5	$y = 2 x + 5$
10270	Find the Derivative - d/dx	y=2x+7	$y = 2 x + 7$
10271	Find the Derivative - d/dx	y=2x-4	$y = 2 x - 4$
10272	Find the Derivative - d/dx	y=3e^(2x^2)	$y = 3 e^{2 x^{2}}$
10273	Find the Derivative - d/dx	y=2xcos(x)	$y = 2 x \cos (x)$
10274	Find the Derivative - d/dx	y=16 square root of x	$y = 16 \sqrt{x}$
10275	Find the Derivative - d/dx	y=14x^2-9x-3x^-2	$y = 14 x^{2} - 9 x - 3 x^{- 2}$
10276	Find the Derivative - d/dx	y=2 square root of x-x^-1.4	$y = 2 \sqrt{x} - x^{- 1.4}$
10277	Find the Derivative - d/dx	y=2 fourth root of x^3	$y = 2 \sqrt[4]{x^{3}}$
10278	Find the Derivative - d/dx	y=2x^2+7x-6	$y = 2 x^{2} + 7 x - 6$
10279	Find the Derivative - d/dx	y=2x^2+3x	$y = 2 x^{2} + 3 x$
10280	Find the Derivative - d/dx	y=2(3x+1)^4(5x-3)^2	$y = 2 {(3 x + 1)}^{4} {(5 x - 3)}^{2}$
10281	Find the Derivative - d/dx	y=2e^x+4/( cube root of x)	$y = 2 e^{x} + \frac{4}{\sqrt[3]{x}}$
10282	Find the Derivative - d/dx	y=xe^(3x)	$y = x e^{3 x}$
10283	Find the Derivative - d/dx	y=xe^(1/x)	$y = x e^{\frac{1}{x}}$
10284	Find the Derivative - d/dx	y=xe^(x/3)	$y = x e^{\frac{x}{3}}$
10285	Find the Derivative - d/dx	y=xe^(-x)	$y = x e^{- x}$
10286	Find the Derivative - d/dx	y=1+2x+3x^2	$y = 1 + 2 x + 3 x^{2}$
10287	Find the Derivative - d/dx	y=(xsin(x))/(2+cos(x))	$y = \frac{x \sin (x)}{2 + \cos (x)}$
10288	Find the Derivative - d/dx	y=10x^(17/8)	$y = 10 x^{\frac{17}{8}}$
10289	Find the Derivative - d/dx	y=11x^2	$y = 11 x^{2}$
10290	Find the Derivative - d/dx	y=5x^2sin(x)+10xcos(x)-10sin(x)	$y = 5 x^{2} \sin (x) + 10 x \cos (x) - 10 \sin (x)$
10291	Find the Derivative - d/dx	y=5( natural log of x)^4	$y = 5 \ln^{4} (x)$
10292	Find the Derivative - d/dx	y=4sec(5x)	$y = 4 \sec (5 x)$
10293	Find the Derivative - d/dx	y=4x-1	$y = 4 x - 1$
10294	Find the Derivative - d/dx	y=4x-3	$y = 4 x - 3$
10295	Find the Derivative - d/dx	y=4sin(x)	$y = 4 \sin (x)$
10296	Find the Derivative - d/dx	y=4sin(x)csc(x^2)	$y = 4 \sin (x) \csc (x^{2})$
10297	Find the Derivative - d/dx	y=4x(5x+4)^5	$y = 4 x {(5 x + 4)}^{5}$
10298	Find the Derivative - d/dx	y=6.0+0.8x-0.40x^2	$y = 6 + 0.8 x - 0.4 x^{2}$
10299	Find the Derivative - d/dx	y=5x^3-4x^2+2x-9	$y = 5 x^{3} - 4 x^{2} + 2 x - 9$
10300	Find the Derivative - d/dx	y=-6e^x	$y = - 6 e^{x}$