프로로 업그레이드
사이트 계속하기
We've updated our
Privacy Policy
effective December 15. Please read our updated Privacy Policy and tap
Continue
솔루션
적분 계산기
도함수 계산기
대수 계산기
행렬 계산기
더...
그래프 작성
선 그래프
지수 그래프
이차 그래프
사인 그래프
더...
계산기
BMI 계산기
복리 계산기
백분율 계산기
가속도 계산기
더...
기하학
피타고라스 정리 계산기
원 면적 계산기
이등변삼각형 계산기
삼각형 계산기
더...
도구
메모
무리
치트 시트
워크시트
학습 가이드
실행
솔루션 확인
ko
English
Español
Português
Français
Deutsch
Italiano
Русский
中文(简体)
한국어
日本語
Tiếng Việt
עברית
العربية
개선하다
일반적인 문제
토픽
사전 대수
대수학
단어 문제
Functions & Graphing
기하학
삼각법
프리 미적분학
미적분학
통계
일반적인 Functions & Graphing 문제
critical f(x)x^3+3x-2
critical
f
(
x
)
x
3
+
3
x
−
2
critical 2cos(x)+sin^2(x)
critical
2
cos
(
x
)
+
sin
2
(
x
)
critical f(x)=2x^3-17x^2+19x+14
critical
f
(
x
)
=
2
x
3
−
1
7
x
2
+
1
9
x
+
1
4
critical f(x)=10xy-5x^2y-2xy^2
critical
f
(
x
)
=
1
0
xy
−
5
x
2
y
−
2
xy
2
critical f(x)=x^3+12x^2+36x
critical
f
(
x
)
=
x
3
+
1
2
x
2
+
3
6
x
critical f(x,y)=x^2-(y-1)^2
critical
f
(
x
,
y
)
=
x
2
−
(
y
−
1
)
2
critical f(x,y)=x^3-y^3+3xy
critical
f
(
x
,
y
)
=
x
3
−
y
3
+
3
xy
critical 11000-x^3+42x^2+800x
critical
1
1
0
0
0
−
x
3
+
4
2
x
2
+
8
0
0
x
critical x^3-2xy+y^2+4
critical
x
3
−
2
xy
+
y
2
+
4
critical f(x)=x^2+2xy+2y^2-6x+10y+6
critical
f
(
x
)
=
x
2
+
2
xy
+
2
y
2
−
6
x
+
1
0
y
+
6
critical (8x^2-24x)/(3(x+1)^{1/3)}
critical
8
x
2
−
2
4
x
3
(
x
+
1
)
1
3
critical f(x)=6x^2+2x-12
critical
f
(
x
)
=
6
x
2
+
2
x
−
1
2
critical 8-(x+3)^2
critical
8
−
(
x
+
3
)
2
critical x^2-16
critical
x
2
−
1
6
critical f(x)=xsqrt(x+7)
critical
f
(
x
)
=
x
√
x
+
7
critical (x+3)/(x-2)
critical
x
+
3
x
−
2
critical 1/4 x^4+1/3 x^3-x^2+2/3
critical
1
4
x
4
+
1
3
x
3
−
x
2
+
2
3
critical (x^2-9)/(x-5)
critical
x
2
−
9
x
−
5
critical f(x)=-x^4+4x^3+8x^2
critical
f
(
x
)
=
−
x
4
+
4
x
3
+
8
x
2
critical g(y)=((y-1))/(y^2-y+1)
critical
g
(
y
)
=
(
y
−
1
)
y
2
−
y
+
1
critical-3x^2+6x
critical
−
3
x
2
+
6
x
critical f(x,y)=x^3+x^2y+x-y
critical
f
(
x
,
y
)
=
x
3
+
x
2
y
+
x
−
y
critical f(x)=ln(x)+1
critical
f
(
x
)
=
ln
(
x
)
+
1
critical y=x^3-3x^2+b
critical
y
=
x
3
−
3
x
2
+
b
critical f(x)=(9x^2ln(x))
critical
f
(
x
)
=
(
9
x
2
ln
(
x
)
)
critical (x^3+1)/(x^2)
critical
x
3
+
1
x
2
critical f(x)=x^{2/3}(x^2-8)
critical
f
(
x
)
=
x
2
3
(
x
2
−
8
)
critical f(x)=ln(x)+ln(64-x^2)
critical
f
(
x
)
=
ln
(
x
)
+
ln
(
6
4
−
x
2
)
critical ln(1-ln(x))
critical
ln
(
1
−
ln
(
x
)
)
critical f(x)=x^{2/3}(x^2-9)
critical
f
(
x
)
=
x
2
3
(
x
2
−
9
)
critical f(x)=g(x)=2+(x-5)^3
critical
f
(
x
)
=
g
(
x
)
=
2
+
(
x
−
5
)
3
critical x^3+y^3+3x^2-18y+5
critical
x
3
+
y
3
+
3
x
2
−
1
8
y
+
5
critical 1-sin(x)
critical
1
−
sin
(
x
)
critical f(x)=-5x-8
critical
f
(
x
)
=
−
5
x
−
8
critical f(x)=x^3ln(x),(0,infinity)
critical
f
(
x
)
=
x
3
ln
(
x
)
,
(
0
,
∞
)
critical x^2y+y^3-27y
critical
x
2
y
+
y
3
−
2
7
y
critical 1/3 y^3+4xy-9y-x^2
critical
1
3
y
3
+
4
xy
−
9
y
−
x
2
critical f(x)=3x^3-5x
critical
f
(
x
)
=
3
x
3
−
5
x
critical f(x,y)=12x-x^3-4y^2
critical
f
(
x
,
y
)
=
1
2
x
−
x
3
−
4
y
2
critical f(x)=ln(1+x)
critical
f
(
x
)
=
ln
(
1
+
x
)
critical f(x,y)=1+4x+4y^3-x^4-y^4
critical
f
(
x
,
y
)
=
1
+
4
x
+
4
y
3
−
x
4
−
y
4
critical f(x)=3x^3-9x
critical
f
(
x
)
=
3
x
3
−
9
x
critical f(x)=3x+1/2 sin(6x)
critical
f
(
x
)
=
3
x
+
1
2
sin
(
6
x
)
critical f(x)= 1/3 x^3+3/2 x^2-18x
critical
f
(
x
)
=
1
3
x
3
+
3
2
x
2
−
1
8
x
critical y=2x^3+3x^2-36x
critical
y
=
2
x
3
+
3
x
2
−
3
6
x
critical (-x^2-9)/((x^2-9)^2)
critical
−
x
2
−
9
(
x
2
−
9
)
2
critical x^5+5x^4-40x^2
critical
x
5
+
5
x
4
−
4
0
x
2
critical f(x)=4x^4-4x^3
critical
f
(
x
)
=
4
x
4
−
4
x
3
critical-2^x
critical
−
2
x
critical f(x)= 1/3 x^3-3/2 x^2-10x
critical
f
(
x
)
=
1
3
x
3
−
3
2
x
2
−
1
0
x
critical 90x^2e^{-1.2x}
critical
9
0
x
2
e
−
1
.
2
x
critical x^4+4x
critical
x
4
+
4
x
critical-496e^{-1.5x^2}+498
critical
−
4
9
6
e
−
1
.
5
x
2
+
4
9
8
critical f(x)=3x^2-12x+5
critical
f
(
x
)
=
3
x
2
−
1
2
x
+
5
critical x^3-2x^2-x+1
critical
x
3
−
2
x
2
−
x
+
1
critical f(x)=5x^4-6x^2+1
critical
f
(
x
)
=
5
x
4
−
6
x
2
+
1
critical 2x^4+4x^2-30
critical
2
x
4
+
4
x
2
−
3
0
critical f(x,y)=x^3-3xy^2+9y^2
critical
f
(
x
,
y
)
=
x
3
−
3
xy
2
+
9
y
2
critical 7x^2ln(x)
critical
7
x
2
ln
(
x
)
critical f(x,y)=3x^3-5y^2-255x+70y+23
critical
f
(
x
,
y
)
=
3
x
3
−
5
y
2
−
2
5
5
x
+
7
0
y
+
2
3
critical f(x)=10+12x-3x^2-x^3
critical
f
(
x
)
=
1
0
+
1
2
x
−
3
x
2
−
x
3
critical f(x)=(-8)/(x^{4/3)(6-x)^{5/3}}
critical
f
(
x
)
=
−
8
x
4
3
(
6
−
x
)
5
3
critical x^{2/3}(5/2-x)
critical
x
2
3
(
5
2
−
x
)
critical z=xy-2x-1-4y-1+8
critical
z
=
xy
−
2
x
−
1
−
4
y
−
1
+
8
critical C(x)=2x+(300000)/x ,1<= x<= 300
critical
C
(
x
)
=
2
x
+
3
0
0
0
0
0
x
,
1
≤
x
≤
3
0
0
critical (x+2)/(x-1)
critical
x
+
2
x
−
1
critical f(x)=1-3x+5x^2-x^3
critical
f
(
x
)
=
1
−
3
x
+
5
x
2
−
x
3
critical (x-1)(x-2)(x-3)
critical
(
x
−
1
)
(
x
−
2
)
(
x
−
3
)
critical y=-(15)/(x^2+5)
critical
y
=
−
1
5
x
2
+
5
critical f(x)=x^4+y^4-6x^2y^2-2x^2+2y^2
critical
f
(
x
)
=
x
4
+
y
4
−
6
x
2
y
2
−
2
x
2
+
2
y
2
critical f(x)=x^4+y^4+x^2y^2
critical
f
(
x
)
=
x
4
+
y
4
+
x
2
y
2
critical Q(x)=xe^x
critical
Q
(
x
)
=
xe
x
critical (x-2)^3(3x+14)
critical
(
x
−
2
)
3
(
3
x
+
1
4
)
critical y= x/(x^2+49)
critical
y
=
x
x
2
+
4
9
critical f(x)=12x^2+2x^3
critical
f
(
x
)
=
1
2
x
2
+
2
x
3
critical f(x)=2+(x-5)3
critical
f
(
x
)
=
2
+
(
x
−
5
)
3
critical 6x^2-2x^3+3y^2+6xy
critical
6
x
2
−
2
x
3
+
3
y
2
+
6
xy
critical f(x)=(x^3)/3-x^2-15x-1
critical
f
(
x
)
=
x
3
3
−
x
2
−
1
5
x
−
1
critical xy+3/x+9/y
critical
xy
+
3
x
+
9
y
critical f(x)=ln(x^2+1)(x^2-1)
critical
f
(
x
)
=
ln
(
x
2
+
1
)
(
x
2
−
1
)
critical f(x)= 1/2 x+sin(x)
critical
f
(
x
)
=
1
2
x
+
sin
(
x
)
critical x^2y-2xy+3y^3-3y
critical
x
2
y
−
2
xy
+
3
y
3
−
3
y
critical f(x)=3x+(108)/x
critical
f
(
x
)
=
3
x
+
1
0
8
x
critical 2x^3-39x^2+180x+6
critical
2
x
3
−
3
9
x
2
+
1
8
0
x
+
6
critical f(x)=9-x^2
critical
f
(
x
)
=
9
−
x
2
critical f(x)=x^3-In(x(x^2+1))
critical
f
(
x
)
=
x
3
−
In
(
x
(
x
2
+
1
)
)
critical f(x)=(x^2-9)^2
critical
f
(
x
)
=
(
x
2
−
9
)
2
critical x^2-x^2y^2+y^2
critical
x
2
−
x
2
y
2
+
y
2
critical f(x)=2x^2+3x-1
critical
f
(
x
)
=
2
x
2
+
3
x
−
1
critical x^{1/3}(x+4)
critical
x
1
3
(
x
+
4
)
critical (x^2+12)(1-x^2)
critical
(
x
2
+
1
2
)
(
1
−
x
2
)
critical f(x)=-16x^3+20x^2+19x+3
critical
f
(
x
)
=
−
1
6
x
3
+
2
0
x
2
+
1
9
x
+
3
critical 6x^8(3-x)^7
critical
6
x
8
(
3
−
x
)
7
critical f(x,y)=e^{xy^2+1}
critical
f
(
x
,
y
)
=
e
xy
2
+
1
critical f(x)=x^{1/3}(x^2-64)
critical
f
(
x
)
=
x
1
3
(
x
2
−
6
4
)
critical f(x,y)=x^2y-4y^3
critical
f
(
x
,
y
)
=
x
2
y
−
4
y
3
critical 2sqrt(x)e^{-x}
critical
2
√
x
e
−
x
critical y=x^3-6x^2+9x
critical
y
=
x
3
−
6
x
2
+
9
x
critical f(x)=x^2-18ln(3x)
critical
f
(
x
)
=
x
2
−
1
8
ln
(
3
x
)
critical f(x)=1-sqrt(x)
critical
f
(
x
)
=
1
−
√
x
1
..
843
844
845
846
847
..
1324