Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
18001	Find the Derivative - d/dx	(1+4x)^10	${(1 + 4 x)}^{10}$
18002	Find the Derivative - d/dx	(1+cx)^(1/2)	${(1 + c x)}^{\frac{1}{2}}$
18003	Find the Derivative - d/dx	(1+x)^(cot(x))	${(1 + x)}^{\cot (x)}$
18004	Find the Derivative - d/dx	(10x^3+7)^(3/2)	${(10 x^{3} + 7)}^{\frac{3}{2}}$
18005	Find the Derivative - d/dx	(x^3-9x)^14	${(x^{3} - 9 x)}^{14}$
18006	Find the Derivative - d/dx	(0.1x^2-4.2x+3.5)^1.5	${(0.1 x^{2} - 4.2 x + 3.5)}^{1.5}$
18007	Find the Derivative - d/dx	(1-x^2)^(5/2)	${(1 - x^{2})}^{\frac{5}{2}}$
18008	Find the Derivative - d/dx	(x^7+2x-3)^3	${(x^{7} + 2 x - 3)}^{3}$
18009	Find the Derivative - d/dx	(x^2+9)^(1/2)	${(x^{2} + 9)}^{\frac{1}{2}}$
18010	Find the Derivative - d/dx	(x^2+5)^(1/2)	${(x^{2} + 5)}^{\frac{1}{2}}$
18011	Find the Derivative - d/dx	(x^2-2x+2)/(x-1)	$\frac{x^{2} - 2 x + 2}{x - 1}$
18012	Find the Derivative - d/dx	(x^2-2x-1)^(2/3)	${(x^{2} - 2 x - 1)}^{\frac{2}{3}}$
18013	Find the Derivative - d/dx	(x^2-3x+2)/(x^7-2)	$\frac{x^{2} - 3 x + 2}{x^{7} - 2}$
18014	Find the Derivative - d/dx	(x^2-x-6)/(x-3)	$\frac{x^{2} - x - 6}{x - 3}$
18015	Find the Derivative - d/dx	(x^2-7x-1)^-8	${(x^{2} - 7 x - 1)}^{- 8}$
18016	Find the Derivative - d/dx	(x^2-9)^2	${(x^{2} - 9)}^{2}$
18017	Find the Derivative - d/dx	(x^6+4)^5	${(x^{6} + 4)}^{5}$
18018	Find the Derivative - d/dx	(x^5)^2	${(x^{5})}^{2}$
18019	Find the Derivative - d/dx	(x^4-3x^2)/((x^2-1)^2)	$\frac{x^{4} - 3 x^{2}}{{(x^{2} - 1)}^{2}}$
18020	Find the Derivative - d/dx	(x^4-4)/(x^2-5)	$\frac{x^{4} - 4}{x^{2} - 5}$
18021	Find the Derivative - d/dx	(x^4+2)^3	${(x^{4} + 2)}^{3}$
18022	Find the Derivative - d/dx	(x^4+9)^8(4x^3dx)	${(x^{4} + 9)}^{8} (4 x^{3} d x)$
18023	Find the Derivative - d/dx	(x^4-7/x)^-4	${(x^{4} - \frac{7}{x})}^{- 4}$
18024	Find the Derivative - d/dx	(x^4+3x)^-1	${(x^{4} + 3 x)}^{- 1}$
18025	Find the Derivative - d/dx	(x^3-1)^3	${(x^{3} - 1)}^{3}$
18026	Find the Derivative - d/du	y=e^u(cos(u)+cu)	$y = e^{u} (\cos (u) + c u)$
18027	Find the Derivative - d/dx	(x-6)(x+2)^3	$(x - 6) {(x + 2)}^{3}$
18028	Find the Derivative - d/dx	xy	$x y$
18029	Find the Derivative - d/dx	0.0004x^3-0.01x^2+112x+3100	$0.0004 x^{3} - 0.01 x^{2} + 112 x + 3100$
18030	Find the Derivative - d/dx	-0.002x^3-0.02x^2+600x-800	$- 0.002 x^{3} - 0.02 x^{2} + 600 x - 800$
18031	Find the Derivative - d/dx	-0.1x^2+54x-15	$- 0.1 x^{2} + 54 x - 15$
18032	Find the Derivative - d/dX	0.25X^0.25y^0.75	$0.25 X^{0.25} y^{0.75}$
18033	Find the Derivative - d/dx	0.25x^2	$0.25 x^{2}$
18034	Find the Derivative - d/dx	0.5x^2	$0.5 x^{2}$
18035	Find the Derivative - d/dx	(4x^2+8x)cos(x)	$(4 x^{2} + 8 x) \cos (x)$
18036	Find the Derivative - d/dx	((x^2+3)^5+x)^2	${({(x^{2} + 3)}^{5} + x)}^{2}$
18037	Find the Derivative - d/dx	((10-0.0002x)/x)/-0.0002	$\frac{\frac{10 - 0.0002 x}{x}}{- 0.0002}$
18038	Find the Derivative - d/dx	(1/81)^(2x)	${(\frac{1}{81})}^{2 x}$
18039	Find the Derivative - d/dx	natural log of (3x+1)/(3x-1)	$\ln (\frac{3 x + 1}{3 x - 1})$
18040	Find the Derivative - d/dx	((x+6)/(x-6))^3	${(\frac{x + 6}{x - 6})}^{3}$
18041	Find the Derivative - d/dx	(x/12)^15	${(\frac{x}{12})}^{15}$
18042	Find the Derivative - d/dx	(x/2)^2	${(\frac{x}{2})}^{2}$
18043	Find the Derivative - d/dx	(e^x-1-x)/(x^2)	$\frac{e^{x} - 1 - x}{x^{2}}$
18044	Find the Derivative - d/dx	(a^(2/3)-x^(2/3))^(3/2)	${(a^{\frac{2}{3}} - x^{\frac{2}{3}})}^{\frac{3}{2}}$
18045	Find the Derivative - d/dx	(e^(8x-1))^5	${(e^{8 x - 1})}^{5}$
18046	Find the Derivative - d/dx	(x^2+27)^(1/2)	${(x^{2} + 27)}^{\frac{1}{2}}$
18047	Find the Derivative - d/dx	(x^2+24)^(1/2)	${(x^{2} + 24)}^{\frac{1}{2}}$
18048	Find the Derivative - d/dx	(x^2+16)^(1/2)	${(x^{2} + 16)}^{\frac{1}{2}}$
18049	Find the Derivative - d/dx	(x^2+4x-5)^4	${(x^{2} + 4 x - 5)}^{4}$
18050	Find the Derivative - d/dx	(x^0.5-2x^2+5x^1.5)/(2x^1.5)	$\frac{x^{0.5} - 2 x^{2} + 5 x^{1.5}}{2 x^{1.5}}$
18051	Find the Derivative - d/dx	(x^17-1)/(x-1)	$\frac{x^{17} - 1}{x - 1}$
18052	Find the Derivative - d/dx	(x^2-y^2)/(x^2+y^2)	$\frac{x^{2} - y^{2}}{x^{2} + y^{2}}$
18053	Find the Derivative - d/dx	(x^2+1)^(1/2)	${(x^{2} + 1)}^{\frac{1}{2}}$
18054	Find the Derivative - d/dx	(x^2+10)^5	${(x^{2} + 10)}^{5}$
18055	Find the Derivative - d/dx	(x^2+y^2)^(1/2)	${(x^{2} + y^{2})}^{\frac{1}{2}}$
18056	Find the Derivative - d/dx	(x^2+y^2)^(3/2)	${(x^{2} + y^{2})}^{\frac{3}{2}}$
18057	Find the Derivative - d/dx	(x^2+a^2)^n	${(x^{2} + a^{2})}^{n}$
18058	Simplify	f(p)	$f (p)$
18059	Simplify	f(x)*(3x)+2	$f (x) \cdot (3 x) + 2$
18060	Simplify	d/(dt)(at^2+bt+c)	$\frac{d}{d t} (a t^{2} + b t + c)$
18061	Simplify	limit as x approaches 3 of (x)+1/x	$lim_{x \to 3} (x) + \frac{1}{x}$
18062	Simplify	s(t)^5t^2-3t+2	$s {(t)}^{5} t^{2} - 3 t + 2$
18063	Simplify	p(20/p)^2(20)	$p {(\frac{20}{p})}^{2} (20)$
18064	Simplify	sin(2arcsin(3/5))	$\sin (2 \arcsin (\frac{3}{5}))$
18065	Simplify	sin(2arctan(x/2))	$\sin (2 \arctan (\frac{x}{2}))$
18066	Simplify	sin(2(pi))	$\sin (2 (π))$
18067	Simplify	sin(x^4)-cos(x^4)	$\sin (x^{4}) - \cos (x^{4})$
18068	Simplify	sin(2x)sin(2x)	$\sin (2 x) \sin (2 x)$
18069	Simplify	(e^x-1)/(e^(-x)-1)	$\frac{e^{x} - 1}{e^{- x} - 1}$
18070	Simplify	sin(5x)	$\sin (5 x)$
18071	Simplify	sin(340)*5	$\sin (340) \cdot 5$
18072	Simplify	sin(7.9)	$\sin (7.9)$
18073	Simplify	sin(-(5pi)/12)+( square root of 3)/2	$\sin (- \frac{5 π}{12}) + \frac{\sqrt{3}}{2}$
18074	Simplify	sin((11x)/2)+sin((7x)/2)	$\sin (\frac{11 x}{2}) + \sin (\frac{7 x}{2})$
18075	Simplify	sin(24/25)	$\sin (\frac{24}{25})$
18076	Simplify	sin(x)+cot(x)cos(x)	$\sin (x) + \cot (x) \cos (x)$
18077	Simplify	-sin(pi/2)-cos(pi/2)	$- \sin (\frac{π}{2}) - \cos (\frac{π}{2})$
18078	Simplify	sin(3/4*pi)	$\sin (\frac{3}{4} \cdot π)$
18079	Simplify	sec(pi/2)-tan(pi/2)	$\sec (\frac{π}{2}) - \tan (\frac{π}{2})$
18080	Simplify	-sin((7pi)/2)	$- \sin (\frac{7 π}{2})$
18081	Simplify	sin((7pi)/2-x)	$\sin (\frac{7 π}{2} - x)$
18082	Simplify	sin((8pi)/15)cos((17pi)/60)-cos((8pi)/15)sin((17pi)/60)	$\sin (\frac{8 π}{15}) \cos (\frac{17 π}{60}) - \cos (\frac{8 π}{15}) \sin (\frac{17 π}{60})$
18083	Simplify	sec(arctan(2x))	$\sec (\arctan (2 x))$
18084	Simplify	sec(pi/3)tan(pi/3)+2sin(pi/3)	$\sec (\frac{π}{3}) \tan (\frac{π}{3}) + 2 \sin (\frac{π}{3})$
18085	Simplify	sec(pi/4)+tan(pi/4)	$\sec (\frac{π}{4}) + \tan (\frac{π}{4})$
18086	Simplify	sec(3x^5)	$\sec (3 x^{5})$
18087	Simplify	-sec(x)sin(x)	$- \sec (x) \sin (x)$
18088	Simplify	-(a+h)^3	$- {(a + h)}^{3}$
18089	Simplify	sec(2arctan(1/x))	$\sec (2 \arctan (\frac{1}{x}))$
18090	Simplify	sec(x)csc(x)cot(x)	$\sec (x) \cdot \csc (x) \cdot \cot (x)$
18091	Simplify	cot(2)	$\cot (2)$
18092	Simplify	cot(20)-(sin(70))/(sin(70))	$\cot (20) - \frac{\sin (70)}{\sin (70)}$
18093	Simplify	cot((5pi)/4)-cot((3pi)/4)	$\cot (\frac{5 π}{4}) - \cot (\frac{3 π}{4})$
18094	Simplify	cot(arccos(x))	$\cot (\arccos (x))$
18095	Simplify	cot(3x)	$\cot (3 x)$
18096	Simplify	csc(arctan(x))	$\csc (\arctan (x))$
18097	Simplify	cot(x)sin(x)	$\cot (x) \sin (x)$
18098	Simplify	csc(pi/2)	$\csc (\frac{π}{2})$
18099	Simplify	e-e^-4	$e - e^{- 4}$
18100	Simplify	(4+h)^2	${(4 + h)}^{2}$