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인기 문제

순위	주제	문제	형식화된 문제
48501	극대값 및 극소값 구하기	64x^2+54/x-3	$64 x^{2} + \frac{54}{x} - 3$
48502	극대값 및 극소값 구하기	x^(4/5)(x+3)	$x^{\frac{4}{5}} (x + 3)$
48503	극대값 및 극소값 구하기	4x+36/x	$4 x + \frac{36}{x}$
48504	간단히 하기	자연로그 4- 자연로그 1	$\ln (4) - \ln (1)$
48505	간단히 하기	cos(arcsin(x))	$\cos (\sin^{-1} (x))$
48506	역함수 구하기	y=( x)^3 의 자연로그	$y = \ln^{3} (x)$
48507	준선 찾기	y^2=16x	$y^{2} = 16 x$
48508	준선 찾기	y^2=-36x	$y^{2} = - 36 x$
48509	역함수 구하기	f(x)=e^(2x-4)	$f (x) = e^{2 x - 4}$
48510	합/차 공식을 이용하여 식 전개하기	cos(7/25+8/17)	$\cos (\frac{7}{25} + \frac{8}{17})$
48511	그래프로 풀기	x^5-3x=1	$x^{5} - 3 x = 1$
48512	왼쪽부터 계산하기	x 가 1 에 한없이 가까워질 때 극한 x/( 자연로그 x)	$lim_{x \to 1} \frac{x}{\ln (x)}$
48513	왼쪽부터 계산하기	x 가 -pi/2 에 한없이 가까워질 때 극한 sec(x)	$lim_{x \to - \frac{π}{2}} \sec (x)$
48514	왼쪽부터 계산하기	x 가 infinity 에 한없이 가까워질 때 극한 arctan(x)	$lim_{x \to \infty} \arctan (x)$
48515	Find Where Increasing/Decreasing Using Derivatives	f(x)=17+12x^2-2x^3	$f (x) = 17 + 12 x^{2} - 2 x^{3}$
48516	Find Where Increasing/Decreasing Using Derivatives	f(x)=-12x^5+105x^4-200x^3	$f (x) = - 12 x^{5} + 105 x^{4} - 200 x^{3}$
48517	Find Where Increasing/Decreasing Using Derivatives	f(x)=(x^2+16)/x	$f (x) = \frac{x^{2} + 16}{x}$
48518	Find Where Increasing/Decreasing Using Derivatives	f(x)=-8x^3+24x+5	$f (x) = - 8 x^{3} + 24 x + 5$
48519	Find Where Increasing/Decreasing Using Derivatives	g(t)=(5t)/(t^2+1)	$g (t) = \frac{5 t}{t^{2} + 1}$
48520	Find Where Increasing/Decreasing Using Derivatives	f(x)=-3x^2+54 x 의 자연로그	$f (x) = - 3 x^{2} + 54 \ln (x)$
48521	Find Where Increasing/Decreasing Using Derivatives	f(x) = square root of 20-x-x^2	$f (x) = \sqrt{20 - x - x^{2}}$
48522	Find Where Increasing/Decreasing Using Derivatives	f(x)=sin(x)^2+sin(x)	$f (x) = \sin^{2} (x) + \sin (x)$
48523	Find Where Increasing/Decreasing Using Derivatives	C(x)=x^(1/3)(x+4)	$C (x) = x^{\frac{1}{3}} (x + 4)$
48524	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^4+4x^3-8x^2+56	$f (x) = x^{4} + 4 x^{3} - 8 x^{2} + 56$
48525	Find Where Increasing/Decreasing Using Derivatives	f(x)=2x^3+12x^2+24x+17	$f (x) = 2 x^{3} + 12 x^{2} + 24 x + 17$
48526	Find Where Increasing/Decreasing Using Derivatives	h(x)=cos((4x)/3)	$h (x) = \cos (\frac{4 x}{3})$
48527	Find Where Increasing/Decreasing Using Derivatives	f(x)=2x^3+6x^2-90x	$f (x) = 2 x^{3} + 6 x^{2} - 90 x$
48528	Find Where Increasing/Decreasing Using Derivatives	f(x)=-5x^3+15x+8	$f (x) = - 5 x^{3} + 15 x + 8$
48529	Find Where Increasing/Decreasing Using Derivatives	f(x)=64x^2+128/x+3	$f (x) = 64 x^{2} + \frac{128}{x} + 3$
48530	Find Where Increasing/Decreasing Using Derivatives	f(x)=-2x^2+16 x 의 자연로그	$f (x) = - 2 x^{2} + 16 \ln (x)$
48531	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3-2x^2-4x+7	$f (x) = x^{3} - 2 x^{2} - 4 x + 7$
48532	Find Where Increasing/Decreasing Using Derivatives	f(x)=2x^3+9x^2-60x	$f (x) = 2 x^{3} + 9 x^{2} - 60 x$
48533	Find Where Increasing/Decreasing Using Derivatives	f(t)=0.469t^2+0.758t+0.44	$f (t) = 0.469 t^{2} + 0.758 t + 0.44$
48534	Find Where Increasing/Decreasing Using Derivatives	f(x)=1/3x^3-3/2x^2	$f (x) = \frac{1}{3} x^{3} - \frac{3}{2} x^{2}$
48535	Find Where Increasing/Decreasing Using Derivatives	f(x)=20/(1+9e^(-3x))	$f (x) = \frac{20}{1 + 9 e^{- 3 x}}$
48536	Find Where Increasing/Decreasing Using Derivatives	f(x)=(x^4)/4-2x^3+4x^2	$f (x) = \frac{x^{4}}{4} - 2 x^{3} + 4 x^{2}$
48537	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3-48x+3	$f (x) = x^{3} - 48 x + 3$
48538	Find Where Increasing/Decreasing Using Derivatives	f(x)=2x^3+18x^2+54x+55	$f (x) = 2 x^{3} + 18 x^{2} + 54 x + 55$
48539	역함수 구하기	f(x)=x^5+3x-2	$f (x) = x^{5} + 3 x - 2$
48540	역함수 구하기	f(x)=-3/4x+6	$f (x) = - \frac{3}{4} x + 6$
48541	합/차 공식을 이용하여 식 전개하기	cos((5pi)/13)	$\cos (\frac{5 π}{13})$
48542	합/차 공식을 이용하여 식 전개하기	sin(225 도 )	$\sin (225 °)$
48543	왼쪽부터 계산하기	x 가 2 의 왼쪽에서 한없이 가까워질 때 극한 1/(x+2)	$lim_{x \to 2} \frac{1}{x + 2}$
48544	왼쪽부터 계산하기	x 가 1 에 한없이 가까워질 때 극한 (cos(pix))/(x-1)	$lim_{x \to 1} \frac{\cos (π x)}{x - 1}$
48545	왼쪽부터 계산하기	x 가 6 에 한없이 가까워질 때 극한 제곱근 36-x^2	$lim_{x \to 6} \sqrt{36 - x^{2}}$
48546	구간 그리기	[-3,3]	$[- 3, 3]$
48547	꼭지점 찾기	2x^2-10x-1	$2 x^{2} - 10 x - 1$
48548	Find Where Increasing/Decreasing Using Derivatives	f(x)=3x^4-20x^3+42x^2-36x	$f (x) = 3 x^{4} - 20 x^{3} + 42 x^{2} - 36 x$
48549	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^(14/15)-x^(29/15)	$f (x) = x^{\frac{14}{15}} - x^{\frac{29}{15}}$
48550	Find Where Increasing/Decreasing Using Derivatives	f(x)=-5x^2+20x	$f (x) = - 5 x^{2} + 20 x$
48551	Find Where Increasing/Decreasing Using Derivatives	f(x)=9-3x+3x^2-x^3	$f (x) = 9 - 3 x + 3 x^{2} - x^{3}$
48552	Find Where Increasing/Decreasing Using Derivatives	f(x)=(3x-8)/x	$f (x) = \frac{3 x - 8}{x}$
48553	Find Where Increasing/Decreasing Using Derivatives	f(x)=3x^3-18x^2+36x-27	$f (x) = 3 x^{3} - 18 x^{2} + 36 x - 27$
48554	Find Where Increasing/Decreasing Using Derivatives	f(x)=20x^3-5x^4	$f (x) = 20 x^{3} - 5 x^{4}$
48555	Find Where Increasing/Decreasing Using Derivatives	f(x)=cos((4x)/3)	$f (x) = \cos (\frac{4 x}{3})$
48556	Find Where Increasing/Decreasing Using Derivatives	f(x)=-12x^5+45x^4-40x^3	$f (x) = - 12 x^{5} + 45 x^{4} - 40 x^{3}$
48557	Find Where Increasing/Decreasing Using Derivatives	f(x)=2/3x^3-2x^2-6x-2	$f (x) = \frac{2}{3} x^{3} - 2 x^{2} - 6 x - 2$
48558	Find Where Increasing/Decreasing Using Derivatives	f(x)=75x-x^3	$f (x) = 75 x - x^{3}$
48559	Find Where Increasing/Decreasing Using Derivatives	f(x)=5-27x+9x^2-x^3	$f (x) = 5 - 27 x + 9 x^{2} - x^{3}$
48560	Find Where Increasing/Decreasing Using Derivatives	f(x)=2x^4+3x^3	$f (x) = 2 x^{4} + 3 x^{3}$
48561	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3-3x^2-9x+4	$f (x) = x^{3} - 3 x^{2} - 9 x + 4$
48562	Find Where Increasing/Decreasing Using Derivatives	K(t)=(6t)/(t^2+9)	$K (t) = \frac{6 t}{t^{2} + 9}$
48563	Find Where Increasing/Decreasing Using Derivatives	f(x)=(x-4)e^(-3x)	$f (x) = (x - 4) e^{- 3 x}$
48564	Find Where Increasing/Decreasing Using Derivatives	h(x)=12x-x^3	$h (x) = 12 x - x^{3}$
48565	Find Where Increasing/Decreasing Using Derivatives	f(x)=-x^3+9/2x^2+12x-7	$f (x) = - x^{3} + \frac{9}{2} x^{2} + 12 x - 7$
48566	Find Where Increasing/Decreasing Using Derivatives	f(x)=3x^(2/11)-x^(3/11)	$f (x) = 3 x^{\frac{2}{11}} - x^{\frac{3}{11}}$
48567	Find Where Increasing/Decreasing Using Derivatives	C(x)=x^(1/5)(x+6)	$C (x) = x^{\frac{1}{5}} (x + 6)$
48568	Find Where Increasing/Decreasing Using Derivatives	f(x)=(9x^2+4)/(9x^2-4)	$f (x) = \frac{(9 x^{2} + 4)}{9 x^{2} - 4}$
48569	Find Where Increasing/Decreasing Using Derivatives	f(x)=-7x^3+21x+9	$f (x) = - 7 x^{3} + 21 x + 9$
48570	Find Where Increasing/Decreasing Using Derivatives	f(x)=x+sin(2x)+5	$f (x) = x + \sin (2 x) + 5$
48571	Find Where Increasing/Decreasing Using Derivatives	f(x)=9x+7x^-1	$f (x) = 9 x + 7 x^{- 1}$
48572	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3-5x^2-8x+1	$f (x) = x^{3} - 5 x^{2} - 8 x + 1$
48573	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^(1/9)+9	$f (x) = x^{\frac{1}{9}} + 9$
48574	Find Where Increasing/Decreasing Using Derivatives	f(x) = square root of x^2+9-x	$f (x) = \sqrt{x^{2} + 9} - x$
48575	Find Where Increasing/Decreasing Using Derivatives	f(t)=9/(25-t^2)	$f (t) = \frac{9}{25 - t^{2}}$
48576	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^6-3x^5	$f (x) = x^{6} - 3 x^{5}$
48577	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^(1/3)+1	$f (x) = x^{\frac{1}{3}} + 1$
48578	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^4-18x^2+6	$f (x) = x^{4} - 18 x^{2} + 6$
48579	Find Where Increasing/Decreasing Using Derivatives	f(x)=3x^3-81x+100	$f (x) = 3 x^{3} - 81 x + 100$
48580	Find Where Increasing/Decreasing Using Derivatives	f(x)=-8x+x^2	$f (x) = - 8 x + x^{2}$
48581	Find Where Increasing/Decreasing Using Derivatives	P(x)=-0.005x^2+2x-5000	$P (x) = - 0.005 x^{2} + 2 x - 5000$
48582	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3-75x+7	$f (x) = x^{3} - 75 x + 7$
48583	Find Where Increasing/Decreasing Using Derivatives	f(x)=15x(x-1)^3	$f (x) = 15 x {(x - 1)}^{3}$
48584	Find Where Increasing/Decreasing Using Derivatives	h(x)=48x-x^3	$h (x) = 48 x - x^{3}$
48585	Find Where Increasing/Decreasing Using Derivatives	f(x)=4x^3-9x^2-12x+9	$f (x) = 4 x^{3} - 9 x^{2} - 12 x + 9$
48586	Find Where Increasing/Decreasing Using Derivatives	f(x)=-12x^5+75x^4-80x^3	$f (x) = - 12 x^{5} + 75 x^{4} - 80 x^{3}$
48587	Find Where Increasing/Decreasing Using Derivatives	f(x)=(x+1)^5-5x-2	$f (x) = {(x + 1)}^{5} - 5 x - 2$
48588	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^2-x- x 의 자연로그	$f (x) = x^{2} - x - \ln (x)$
48589	Find Where Increasing/Decreasing Using Derivatives	f(x)=6x^4+2x^3	$f (x) = 6 x^{4} + 2 x^{3}$
48590	왼쪽부터 계산하기	x 가 0 에 한없이 가까워질 때 극한 1/x-1/(\|x\|)	$lim_{x \to 0} \frac{1}{x} - \frac{1}{\| x \|}$
48591	왼쪽부터 계산하기	x 가 4.75 의 왼쪽에서 한없이 가까워질 때 극한 arcsin(x/4.75)	$lim_{x \to 4.75} \arcsin (\frac{x}{4.75})$
48592	꼭지점 찾기	-3x^2+6x-1	$- 3 x^{2} + 6 x - 1$
48593	꼭지점 찾기	x^2-12x+27	$x^{2} - 12 x + 27$
48594	꼭지점 찾기	x^2-12x+35	$x^{2} - 12 x + 35$
48595	역함수 구하기	f(x)=(6x-1)/(2x+3)	$f (x) = \frac{6 x - 1}{2 x + 3}$
48596	역함수 구하기	f(x)=e^(2x-3)	$f (x) = e^{2 x - 3}$
48597	역함수 구하기	f(x)=3/x-1	$f (x) = \frac{3}{x} - 1$
48598	역함수 구하기	f(x)=(8x-1)/(2x+3)	$f (x) = \frac{8 x - 1}{2 x + 3}$
48599	정의역 구하기	24x^3	$24 x^{3}$
48600	정의역 구하기	(x^4)/(x^2+x-72)	$\frac{x^{4}}{x^{2} + x - 72}$