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인기 문제

순위	주제	문제	형식화된 문제
47701	Find Where Increasing/Decreasing Using Derivatives	(4t)/(t^2+1)	$\frac{4 t}{t^{2} + 1}$
47702	Find Where Increasing/Decreasing Using Derivatives	(5x^2)/(x^2-4)	$\frac{5 x^{2}}{x^{2} - 4}$
47703	Find Where Increasing/Decreasing Using Derivatives	(x^2)/(x^2-36)	$\frac{x^{2}}{x^{2} - 36}$
47704	Find Where Increasing/Decreasing Using Derivatives	(x^2-11)/(x-6)	$\frac{x^{2} - 11}{x - 6}$
47705	Find Where Increasing/Decreasing Using Derivatives	(-x^2-16)/x	$\frac{- x^{2} - 16}{x}$
47706	Find Where Increasing/Decreasing Using Derivatives	(x-2)e^x	$(x - 2) e^{x}$
47707	Find Where Increasing/Decreasing Using Derivatives	2.32x-(x^2)/24000-3500	$2.32 x - \frac{x^{2}}{24000} - 3500$
47708	Find Where Increasing/Decreasing Using Derivatives	2.95x+426.52	$2.95 x + 426.52$
47709	Find Where Increasing/Decreasing Using Derivatives	2x^3-9x^2-168x	$2 x^{3} - 9 x^{2} - 168 x$
47710	Find Where Increasing/Decreasing Using Derivatives	3x^(2/17)-x^(3/17)	$3 x^{\frac{2}{17}} - x^{\frac{3}{17}}$
47711	Find Where Increasing/Decreasing Using Derivatives	3x^3-36x-3	$3 x^{3} - 36 x - 3$
47712	Find Where Increasing/Decreasing Using Derivatives	5-3x	$5 - 3 x$
47713	Find Where Increasing/Decreasing Using Derivatives	6cos(x)^4	$6 \cos^{4} (x)$
47714	Find Where Increasing/Decreasing Using Derivatives	7+6x-x^2	$7 + 6 x - x^{2}$
47715	Find Where Increasing/Decreasing Using Derivatives	8x^4+4x^3	$8 x^{4} + 4 x^{3}$
47716	Find Where Increasing/Decreasing Using Derivatives	9cos(x)^4	$9 \cos^{4} (x)$
47717	Find Where Increasing/Decreasing Using Derivatives	밑이 5 인 로그 1+x^2	$\log_{5} (1 + x^{2})$
47718	Find Where Increasing/Decreasing Using Derivatives	X^3-21X^2	$X^{3} - 21 X^{2}$
47719	Find Where Increasing/Decreasing Using Derivatives	x^3-75x+4	$x^{3} - 75 x + 4$
47720	Find Where Increasing/Decreasing Using Derivatives	x^4-50x^2+4	$x^{4} - 50 x^{2} + 4$
47721	Find Where Increasing/Decreasing Using Derivatives	x^5-15x^3	$x^{5} - 15 x^{3}$
47722	이차방정식의 근의 공식을 이용하여 풀기	2y^2-y-1>0	$2 y^{2} - y - 1 > 0$
47723	이차방정식의 근의 공식을 이용하여 풀기	12x^2-108x+170=0	$12 x^{2} - 108 x + 170 = 0$
47724	Trouver la tangente à x=7	y=1/(x-2) , x=7	$y = \frac{1}{x - 2}$ , $x = 7$
47725	Trouver la tangente à (1,6)	y=x^4+6x^2-x , (1,6)	$y = x^{4} + 6 x^{2} - x$ , $(1, 6)$
47726	이심률 구하기	4x^2+25y^2+24x-50y-39=0	$4 x^{2} + 25 y^{2} + 24 x - 50 y - 39 = 0$
47727	Trouver la linéarisation en a=0	f(x)=e^x , a=0	$f (x) = e^{x}$ , $a = 0$
47728	Trouver la tangente à (0,6)	y=6e^xcos(x) , (0,6)	$y = 6 e^{x} \cos (x)$ , $(0, 6)$
47729	Trouver la tangente à (p/2,3p)	y=6xsin(x) , (pi/2,3pi)	$y = 6 x \sin (x)$ , $(\frac{π}{2}, 3 π)$
47730	Trouver la tangente à x=2	x^4-13x^2+36 ; x=2	$x^{4} - 13 x^{2} + 36$ ; $x = 2$
47731	Trouver la tangente à (9,54)	y=18 x , (9,54) 의 제곱근	$y = 18 \sqrt{x}$ , $(9, 54)$
47732	Trouver la tangente à (p/2,8p)	y=16xsin(x) , (pi/2,8pi)	$y = 16 x \sin (x)$ , $(\frac{π}{2}, 8 π)$
47733	함수가 기함수, 우함수, 또는 어느쪽도 아닌지 판단하기	f(x)=1+3x^2-x^4	$f (x) = 1 + 3 x^{2} - x^{4}$
47734	Trouver la tangente à (p/3,-1)	y=sec(x)-6cos(x) , (pi/3,-1)	$y = \sec (x) - 6 \cos (x)$ , $(\frac{π}{3}, - 1)$
47735	Trouver la tangente à (0,7)	y=7e^x+x , (0,7)	$y = 7 e^{x} + x$ , $(0, 7)$
47736	Trouver la tangente à (4,5)	y=x^3-16x+5 , (4,5)	$y = x^{3} - 16 x + 5$ , $(4, 5)$
47737	Trouver la tangente à (2,p/12)	y=1/3arctan(1/2x) , (2,pi/12)	$y = \frac{1}{3} \arctan (\frac{1}{2} x)$ , $(2, \frac{π}{12})$
47738	Trouver la tangente à (0,3)	y=3e^x+x , (0,3)	$y = 3 e^{x} + x$ , $(0, 3)$
47739	Trouver la tangente à x=4	2/( x) , x=4 의 제곱근	$\frac{2}{\sqrt{x}}$ , $x = 4$
47740	Trouver la tangente à (0,9)	y=(e^(3x)-4)^2 , (0,9)	$y = {(e^{3 x} - 4)}^{2}$ , $(0, 9)$
47741	Trouver la tangente à (0,4)	y=4e^x+x , (0,4)	$y = 4 e^{x} + x$ , $(0, 4)$
47742	Trouver la tangente à x=16	y=3x^(1/2)+x^(3/2) ; x=16	$y = 3 x^{\frac{1}{2}} + x^{\frac{3}{2}}$ ; $x = 16$
47743	Trouver la tangente à (0,0.25)	x^2+y^2=(2x^2+4y^2-x)^2 , (0,0.25)	$x^{2} + y^{2} = {(2 x^{2} + 4 y^{2} - x)}^{2}$ , $(0, 0.25)$
47744	Trouver la tangente à (0,1)	y=(1+4x)^12 , (0,1)	$y = {(1 + 4 x)}^{12}$ , $(0, 1)$
47745	Trouver la tangente à (3,5)	x^2+2xy-y^2+x=17 , (3,5)	$x^{2} + 2 x y - y^{2} + x = 17$ , $(3, 5)$
47746	Trouver la tangente à (27,3)	x^2+9y^2=81 , (27,3)	$x^{2} + 9 y^{2} = 81$ , $(27, 3)$
47747	Trouver la tangente à (-4,-2v(3))	x^2y^2-9x^2-4y^2=0 , (-4,-2 3) 의 제곱근	$x^{2} y^{2} - 9 x^{2} - 4 y^{2} = 0$ , $(- 4, - 2 \sqrt{3})$
47748	근호 형태로 변환하기	(5pi)/6	$\frac{5 π}{6}$
47749	근호 형태로 변환하기	t^(3/2)	$t^{\frac{3}{2}}$
47750	근호 형태로 변환하기	2^(9/2)	$2^{\frac{9}{2}}$
47751	각이 속한 사분면 찾기	-25 도	$- 25 °$
47752	역도함수 구하기	(dy)/(dx)=-1/3x^3	$\frac{d y}{d x} = - \frac{1}{3} x^{3}$
47753	역도함수 구하기	(dy)/(dx)=xy^3	$\frac{d y}{d x} = x y^{3}$
47754	역도함수 구하기	(dy)/(dx)=2xy	$\frac{d y}{d x} = 2 x y$
47755	긴 다항식 나눗셈을 이용하여 나누기	(x^3-3x^2+4x-9)/(x^2+3)	$\frac{x^{3} - 3 x^{2} + 4 x - 9}{x^{2} + 3}$
47756	분모 유리화하기	9/(2- 7) 의 제곱근	$\frac{9}{2 - \sqrt{7}}$
47757	매개변수 소거하기	x=t^2 , y=t^3	$x = t^{2}$ , $y = t^{3}$
47758	매개변수 소거하기	x=sin(t) , y=cos(t)	$x = \sin (t)$ , $y = \cos (t)$
47759	대칭성 찾기	y^2=x+121	$y^{2} = x + 121$
47760	대칭성 찾기	x=y^2-4	$x = y^{2} - 4$
47761	3개의 순서쌍 해 구하기	x-y=8	$x - y = 8$
47762	증가/감소 구간 찾기	f(x)=2x^2+8x+7	$f (x) = 2 x^{2} + 8 x + 7$
47763	증가/감소 구간 찾기	f(x)=sin(x)-8	$f (x) = \sin (x) - 8$
47764	증가/감소 구간 찾기	f(x)=sin(x)+5	$f (x) = \sin (x) + 5$
47765	증가/감소 구간 찾기	f(x)=-x^2-4x	$f (x) = - x^{2} - 4 x$
47766	증가/감소 구간 찾기	g(x)=(4x)/((x+4)^2)	$g (x) = \frac{4 x}{{(x + 4)}^{2}}$
47767	Trouver la dérivée à l’aide de la règle de dérivation d'un quotient - d/d@VAR	h(w)=(3w^4-w)/w	$h (w) = \frac{3 w^{4} - w}{w}$
47768	Trouver la dérivée à l’aide de la règle de dérivation d'un quotient - d/dy	((y-2)^3)/((y^2+4y)^9)	$\frac{{(y - 2)}^{3}}{{(y^{2} + 4 y)}^{9}}$
47769	Trouver la dérivée à l’aide de la règle de dérivation d'un quotient - d/dd	(d(24x^3y^2))/(dx)	$\frac{d (24 x^{3} y^{2})}{d x}$
47770	Trouver la dérivée à l’aide de la règle de dérivation d'un quotient - d/dy	(d(24x^3y^2))/(dx)	$\frac{d (24 x^{3} y^{2})}{d x}$
47771	Trouver la dérivée à l’aide de la règle de dérivation d'un quotient - d/dw	(w^6-w)/w	$\frac{w^{6} - w}{w}$
47772	Trouver la dérivée à l’aide de la règle de dérivation d'un quotient - d/dv	y=(2-v^2)/(2+v^2)	$y = \frac{2 - v^{2}}{2 + v^{2}}$
47773	Trouver la dérivée à l’aide de la règle de dérivation d'un quotient - d/dy	-(12x)/y	$- \frac{12 x}{y}$
47774	Trouver la dérivée à l’aide de la règle de dérivation d'un quotient - d/dy	(-x)/(4y)	$\frac{- x}{4 y}$
47775	Trouver la dérivée à l’aide de la règle de dérivation d'un quotient - d/dy	(6x^5)/(5y^4)	$\frac{6 x^{5}}{5 y^{4}}$
47776	Trouver la dérivée à l’aide de la règle de dérivation d'un quotient - d/dx	(6x^5)/(5y^4)	$\frac{6 x^{5}}{5 y^{4}}$
47777	Trouver la dérivée à l’aide de la règle de dérivation d'un quotient - d/dx	y=(x^2-9x+5)/(x^2+7)	$y = \frac{x^{2} - 9 x + 5}{x^{2} + 7}$
47778	Trouver la dérivée à l’aide de la règle de dérivation d'un quotient - d/dx	(9x^8)/(8y^7)	$\frac{9 x^{8}}{8 y^{7}}$
47779	Convert to Rectangular	x=t^2 , y=t^5	$x = t^{2}$ , $y = t^{5}$
47780	차분몫 구하기	f(x)=-2x+6	$f (x) = - 2 x + 6$
47781	차분몫 구하기	f(x)=7x-8	$f (x) = 7 x - 8$
47782	로그 형태로 변환하기	5^x=9	$5^{x} = 9$
47783	점근선 구하기	(x^3)/(x^2-36)	$\frac{x^{3}}{x^{2} - 36}$
47784	점근선 구하기	(x^2+16)/(x^2-16)	$\frac{x^{2} + 16}{x^{2} - 16}$
47785	점근선 구하기	5/(x^2-9)	$\frac{5}{x^{2} - 9}$
47786	점근선 구하기	(x+1)/(x^2-4x-5)	$\frac{x + 1}{x^{2} - 4 x - 5}$
47787	점근선 구하기	(2x-1)/x	$\frac{2 x - 1}{x}$
47788	점근선 구하기	(x^2-x)/(x^2-8x+7)	$\frac{x^{2} - x}{x^{2} - 8 x + 7}$
47789	점근선 구하기	(x+3)/(x^2+5x+6)	$\frac{x + 3}{x^{2} + 5 x + 6}$
47790	점근선 구하기	(2e^x)/(e^x-5)	$\frac{2 e^{x}}{e^{x} - 5}$
47791	점근선 구하기	(4x^2)/(x^3-1)	$\frac{4 x^{2}}{x^{3} - 1}$
47792	점근선 구하기	(3x^2+2x-5)/(x^2+8x-20)	$\frac{3 x^{2} + 2 x - 5}{x^{2} + 8 x - 20}$
47793	점근선 구하기	x+2sin(x)	$x + 2 \sin (x)$
47794	점근선 구하기	(x^2-3x)/(x^2-9)	$\frac{(x^{2} - 3 x)}{x^{2} - 9}$
47795	점근선 구하기	(16x)/(28x-5)	$\frac{16 x}{28 x - 5}$
47796	점근선 구하기	(5x)/(x^2-9)	$\frac{5 x}{x^{2} - 9}$
47797	점근선 구하기	(x+2)/(x^3-6x^2+8x)	$\frac{x + 2}{x^{3} - 6 x^{2} + 8 x}$
47798	점근선 구하기	(x+4)/(x^2+13x+36)	$\frac{x + 4}{x^{2} + 13 x + 36}$
47799	점근선 구하기	x+14/x	$x + \frac{14}{x}$
47800	점근선 구하기	(7x^2)/(x^2-4)	$\frac{7 x^{2}}{x^{2} - 4}$