Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
141801	Find the Derivative - d/dn	n root of x^(2n+1)	$\sqrt[n]{x^{2 n + 1}}$
141802	Find the Derivative - d/dn	square root of mn	$\sqrt{m n}$
141803	Find the Derivative - d/dd	(d^3x)/(dt^3)	$\frac{d^{3} x}{d t^{3}}$
141804	Find the Derivative - d/dt	(d^2)/(dt^2)(t^8 natural log of t)	$\frac{d^{2}}{d t^{2}} (t^{8} \ln (t))$
141805	Find the Derivative - d/dt	(pit)/12	$\frac{π t}{12}$
141806	Find the Derivative - d/dq	-2q^2+60q-70	$- 2 q^{2} + 60 q - 70$
141807	Find the Derivative - d/dr	square root of r+ fifth root of r	$\sqrt{r} + \sqrt[5]{r}$
141808	Find the Derivative - d/db	square root of 7 square root of b	$\sqrt{7 \sqrt{b}}$
141809	Find the Derivative - d/db	square root of ab	$\sqrt{a b}$
141810	Find the Derivative - d/da	cos(2a)	$\cos (2 a)$
141811	Find the Derivative - d/da	sin(2a)	$\sin (2 a)$
141812	Find the Derivative - d/dv	2.65m^0.66+(3.5m^0.75)/v	$2.65 m^{0.66} + \frac{3.5 m^{0.75}}{v}$
141813	Find the Derivative - d/dV	V=64000(0.8^y)	$V = 64000 ({0.8}^{y})$
141814	Find the Derivative - d/dt	y=4-t	$y = 4 - t$
141815	Find the Derivative - d/dt	t(2t+1)^2	$t {(2 t + 1)}^{2}$
141816	Find the Derivative - d/dt	sin(e^t-1)	$\sin (e^{t} - 1)$
141817	Find the Derivative - d/dt	4060(2)^(t/3)	$4060 {(2)}^{\frac{t}{3}}$
141818	Find the Derivative - d/dt	-6e^(-2t)x	$- 6 e^{- 2 t} x$
141819	Find the Derivative - d/dt	3.7+0.84 natural log of t+1	$3.7 + 0.84 \ln (t + 1)$
141820	Find the Derivative - d/dt	e^(kt)	$e^{k t}$
141821	Find the Derivative - d/dt	\|5-12t\|	$\| 5 - 12 t \|$
141822	Find the Derivative - d/dt	square root of 4t+1	$\sqrt{4 t + 1}$
141823	Find the Derivative - d/dt	2t+1	$2 t + 1$
141824	Find the Derivative - d/dt	20*e^(-0.8t)	$20 \cdot e^{- 0.8 t}$
141825	Find the Derivative - d/dt	176t-16t^2	$176 t - 16 t^{2}$
141826	Find the Derivative - d/dt	2^(-3t^3+5t)	$2^{- 3 t^{3} + 5 t}$
141827	Find the Derivative - d/dt	12te^(-t/6)	$12 t e^{- \frac{t}{6}}$
141828	Find f(g(x))	f(x)=8/(x-9) , g(x)=5/x	$f (x) = \frac{8}{x - 9}$ , $g (x) = \frac{5}{x}$
141829	Find f(g(x))	f(x)=(x+5)/2g(x)=2x-5	$f (x) = \frac{x + 5}{2} g (x) = 2 x - 5$
141830	Find f(g(x))	f(x)=9/(x^2-25) , g(x)=x+8	$f (x) = \frac{9}{x^{2} - 25}$ , $g (x) = x + 8$
141831	Find f(g(x))	f(x)=1/(8x+3) g(x)=12-5x	$f (x) = \frac{1}{8 x + 3}$ $g (x) = 12 - 5 x$
141832	Find f(g(x))	f(x)=-1/4x-2 g(x)=x-7	$f (x) = - \frac{1}{4} x - 2$ $g (x) = x - 7$
141833	Find f(g(x))	f(x)=3/(1-8x) , g(x)=1/x	$f (x) = \frac{3}{1 - 8 x}$ , $g (x) = \frac{1}{x}$
141834	Find f(G(x))	f(x) = square root of x+10 , G(x)=8x-14	$f (x) = \sqrt{x + 10}$ , $G (x) = 8 x - 14$
141835	Find f(g(x))	f(x) = square root of 3x , g(x) = square root of 27x- square root of 48	$f (x) = \sqrt{3 x}$ , $g (x) = \sqrt{27 x} - \sqrt{48}$
141836	Find f(g(x))	f(x)=16x^2-7x , g(x)=17x-6	$f (x) = 16 x^{2} - 7 x$ , $g (x) = 17 x - 6$
141837	Find f(g(x))	f(x)=19x^2-3x , g(x)=19x-3	$f (x) = 19 x^{2} - 3 x$ , $g (x) = 19 x - 3$
141838	Find f(g(x))	f(x)=- square root of x+2-3g(x)=-2\|x-3\|+4	$f (x) = - \sqrt{x + 2} - 3 g (x) = - 2 \| x - 3 \| + 4$
141839	Find f(g(x))	f(x)=3x^2-2xg(x)=x+1	$f (x) = 3 x^{2} - 2 x g (x) = x + 1$
141840	Find f(g(x))	f(x)=3x^2 , g(x)=1/2x^2 , h(x)=-2x^2	$f (x) = 3 x^{2}$ , $g (x) = \frac{1}{2} x^{2}$ , $h (x) = - 2 x^{2}$
141841	Find f(g(x))	f(x)=2x , g(x) = square root of x	$f (x) = 2 x$ , $g (x) = \sqrt{x}$
141842	Find the Derivative - d/dy	30/(x^2+y^2+z^2)	$\frac{30}{x^{2} + y^{2} + z^{2}}$
141843	Find the Derivative - d/dy	7e^(7xy)x	$7 e^{7 x y} x$
141844	Find the Derivative - d/dy	0.09y^2-0.81	$0.09 y^{2} - 0.81$
141845	Find the Derivative - d/dY	X-Y	$X - Y$
141846	Find f(f(x))	f(x)=3x-5	$f (x) = 3 x - 5$
141847	Find f(f(x))	f(x)=5x-2	$f (x) = 5 x - 2$
141848	Find f(f(x))	f(x)=2x-5	$f (x) = 2 x - 5$
141849	Find f(g(x))	f(x)=x^2+1 , g(x)=x-4	$f (x) = x^{2} + 1$ , $g (x) = x - 4$
141850	Find f(g(x))	f(x)=x^2+19 ; g(x) = square root of x-3	$f (x) = x^{2} + 19$ ; $g (x) = \sqrt{x - 3}$
141851	Find f(g(x))	f(x)=x^3-1 , g(x) = cube root of x+1	$f (x) = x^{3} - 1$ , $g (x) = \sqrt[3]{x + 1}$
141852	Find f(g(x))	f(x)=x^2-1 , g(x)=2x-3	$f (x) = x^{2} - 1$ , $g (x) = 2 x - 3$
141853	Find f(g(x))	f(x)=3x-1 , g(x)=(x+1)/3	$f (x) = 3 x - 1$ , $g (x) = \frac{x + 1}{3}$
141854	Find f(g(x))	f(x)=3x-1 , g(x)=10x+7	$f (x) = 3 x - 1$ , $g (x) = 10 x + 7$
141855	Find f(g(x))	f(x)=3x-4 g(x)=2x+1	$f (x) = 3 x - 4$ $g (x) = 2 x + 1$
141856	Find f(g(x))	f(x)=-3x^2-x-3g(x)=2x-1	$f (x) = - 3 x^{2} - x - 3 g (x) = 2 x - 1$
141857	Find f(g(x))	f(x)=3x+4 , g(x)=8x^2-6	$f (x) = 3 x + 4$ , $g (x) = 8 x^{2} - 6$
141858	Find f(g(x))	f(x)=3x+4 , g(x)=9x-9	$f (x) = 3 x + 4$ , $g (x) = 9 x - 9$
141859	Find f(g(x))	f(x)=4x^4-15 g(x)=2x+11	$f (x) = 4 x^{4} - 15$ $g (x) = 2 x + 11$
141860	Find f(g(x))	f(x)=7x^2+5x ; g(x)=3x	$f (x) = 7 x^{2} + 5 x$ ; $g (x) = 3 x$
141861	Find f(g(x))	f(x)=8x+4 , g(x)=2x^2-8	$f (x) = 8 x + 4$ , $g (x) = 2 x^{2} - 8$
141862	Find f(g(x))	f(x)=8x-3 ; g(x)=4x+5	$f (x) = 8 x - 3$ ; $g (x) = 4 x + 5$
141863	Find f(g(x))	f(x)=9x+2 , g(x) = square root of x	$f (x) = 9 x + 2$ , $g (x) = \sqrt{x}$
141864	Find f(g(x))	f(x)=-6x+9 , g(x)=5x+7	$f (x) = - 6 x + 9$ , $g (x) = 5 x + 7$
141865	Find f(g(x))	f(x)=5x^3 , g(x)=x+1	$f (x) = 5 x^{3}$ , $g (x) = x + 1$
141866	Find f(g(x))	f(x)=5x+12 , g(x)=5x-1	$f (x) = 5 x + 12$ , $g (x) = 5 x - 1$
141867	Find f(g(x))	f(x)=-5x-4 g(x)=6x-7	$f (x) = - 5 x - 4$ $g (x) = 6 x - 7$
141868	Find g(f(x))	f(x)=-4x+8 , g(x)=5x+6	$f (x) = - 4 x + 8$ , $g (x) = 5 x + 6$
141869	Find g(f(x))	f(x)=4x-4 , g(x)=5x+7	$f (x) = 4 x - 4$ , $g (x) = 5 x + 7$
141870	Find g(f(x))	f(x)=3x-5g(x)=3x+5	$f (x) = 3 x - 5 g (x) = 3 x + 5$
141871	Find g(f(x))	f(x)=(x-4)/9 , g(x)=2x+5	$f (x) = \frac{x - 4}{9}$ , $g (x) = 2 x + 5$
141872	Find g(f(x))	f(x)=x/(2+7x) , g(x)=x/(2-7x)	$f (x) = \frac{x}{2 + 7 x}$ , $g (x) = \frac{x}{2 - 7 x}$
141873	Find g(f(x))	f(x)=19x^2-3x , g(x)=19x-3	$f (x) = 19 x^{2} - 3 x$ , $g (x) = 19 x - 3$
141874	Find f(g(x))	f(x)=x+2g(x)=-7x+10	$f (x) = x + 2 g (x) = - 7 x + 10$
141875	Find g(f(x))	f(x)=1/x , g(x)=3x-5	$f (x) = \frac{1}{x}$ , $g (x) = 3 x - 5$
141876	Find f(h(t))	f(t)=(2t+7)/(t-3)h(n)=-2n^2-3n+1	$f (t) = \frac{2 t + 7}{t - 3} h (n) = - 2 n^{2} - 3 n + 1$
141877	Find f(h(x))	f(x)=13-xh(x)=x^2-6x-18	$f (x) = 13 - x h (x) = x^{2} - 6 x - 18$
141878	Determine if the Relation is a Function	(0,0) , (1,1) , (2,2) , (3,3) , (4,7)	$(0, 0)$ , $(1, 1)$ , $(2, 2)$ , $(3, 3)$ , $(4, 7)$
141879	Find g(g(x))	g(x)=4x^2+6x-3 , g(h(x))=x^2+7x+7	$g (x) = 4 x^{2} + 6 x - 3$ , $g (h (x)) = x^{2} + 7 x + 7$
141880	Find g(h(n))	g(n)=n^2+4+2nh(n)=-3n+2	$g (n) = n^{2} + 4 + 2 n h (n) = - 3 n + 2$
141881	Find m(n(x))	m(x) = square root of x-1 , n(x)=x-2	$m (x) = \sqrt{x - 1}$ , $n (x) = x - 2$
141882	Find p(d(x))	p(x)=x^4-6x^2-28dx=x+3	$p (x) = x^{4} - 6 x^{2} - 28 d x = x + 3$
141883	Find g(f(x))	f(x)=x^2-3 g(x)=2x-1	$f (x) = x^{2} - 3$ $g (x) = 2 x - 1$
141884	Find g(f(x))	f(x)=5x-2 , g(x)=7x+5	$f (x) = 5 x - 2$ , $g (x) = 7 x + 5$
141885	Determine if the Relation is a Function	(4,7) , (8,5) , (6,4) , (5,3) , (4,2)	$(4, 7)$ , $(8, 5)$ , $(6, 4)$ , $(5, 3)$ , $(4, 2)$
141886	Determine if the Relation is a Function	(5,6) , (6,7) , (7,8) , (8,9)	$(5, 6)$ , $(6, 7)$ , $(7, 8)$ , $(8, 9)$
141887	Determine if the Relation is a Function	(14,9) , (15,8) , (8,7) , (1,9) , (15,2)	$(14, 9)$ , $(15, 8)$ , $(8, 7)$ , $(1, 9)$ , $(15, 2)$
141888	Determine if the Relation is a Function	(-2,10) , (-1,1) , (0,-2) , (1,1) , (2,10)	$(- 2, 10)$ , $(- 1, 1)$ , $(0, - 2)$ , $(1, 1)$ , $(2, 10)$
141889	Determine if the Relation is a Function	(1,3) , (2,3) , (3,3) , (4,3)	$(1, 3) (2, 3) (3, 3) (4, 3)$
141890	Determine if the Relation is a Function	(1,2) , (2,3) , (3,4) , (2,5)	$(1, 2)$ , $(2, 3)$ , $(3, 4)$ , $(2, 5)$
141891	Determine if the Relation is a Function	(-1,22) , (0,6) , (1,-10) , (2,-26) , (3,-42)	$(- 1, 22)$ , $(0, 6)$ , $(1, - 10)$ , $(2, - 26)$ , $(3, - 42)$
141892	Determine if the Relation is a Function	(1,1) , (2,4) , (3,9) , (4,16) , (5,25)	$(1, 1)$ , $(2, 4)$ , $(3, 9)$ , $(4, 16)$ , $(5, 25)$
141893	Determine if the Relation is a Function	(8,1) , (4,1) , (0,1) , (-15,1)	$(8, 1) (4, 1) (0, 1) (- 15, 1)$
141894	Determine if the Relation is a Function	(5,-7) , (4,6) , (-3,8) , (5,9)	$(5, - 7)$ , $(4, 6)$ , $(- 3, 8)$ , $(5, 9)$
141895	Determine if the Relation is a Function	{(2,6),(3,9),(4,2),(3,6)}	${(2, 6), (3, 9), (4, 2), (3, 6)}$
141896	Find the Union of the Sets	{7,8,9,10,11} union {5,7,9,16}	${7, 8, 9, 10, 11} \cup {5, 7, 9, 16}$
141897	Find the Union of the Sets	{9,11,13,15} union {8,10,12}	${9, 11, 13, 15} \cup {8, 10, 12}$
141898	Find the Union of the Sets	{2,4} union {1,3}	${2, 4} \cup {1, 3}$
141899	Find the Union of the Sets	{1,3} union {2,4}	${1, 3} \cup {2, 4}$
141900	Find the Union of the Sets	{2,4,6,8} union {2,3,4,5}	${2, 4, 6, 8} \cup {2, 3, 4, 5}$