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일반적인 문제

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일반적인 Functions & Graphing 문제

extreme f(x)=-1/10 x^3+9x^2+500	`extreme` `f`(`x`)=−110 `x`³+9`x`²+500
extreme f(x)=x(x-2)e^{-3x}	`extreme` `f`(`x`)=`x`(`x`−2)`e`^−3x
extreme f(x,y)=x^3-4xy+y^2	`extreme` `f`(`x`,`y`)=`x`³−4`xy`+`y`²
extreme f(t)=-4t^2+208t+120	`extreme` `f`(`t`)=−4`t`²+208`t`+120
extreme f(x)=2x^3-2x^4	`extreme` `f`(`x`)=2`x`³−2`x`⁴
extreme f(x)=sqrt(x)((x^2)/5-4)	`extreme` `f`(`x`)=√`x`(`x`²5 −4)
extreme-x^2-6x-4	`extreme` −`x`²−6`x`−4
extreme f(x)= x/(x-9),11<= x<= 13	`extreme` `f`(`x`)=`xx`−9 ,11≤ `x`≤ 13
extreme f(x)=xsqrt(1-x)	`extreme` `f`(`x`)=`x`√1−`x`
extreme f(x)=(x+1)/(2x+x+1)	`extreme` `f`(`x`)=`x`+12`x`+`x`+1
extreme f(x,y)=7x^2+8xy+9y^2+9xy^2+5x^2y	`extreme` `f`(`x`,`y`)=7`x`²+8`xy`+9`y`²+9`xy`²+5`x`²`y`
extreme f(x)=(1/(x^3-2x^2)),1<= x<= 7/5	`extreme` `f`(`x`)=(1`x`³−2`x`² ),1≤ `x`≤ 75
extreme e^{-(x^2+y^2)}(x^2+2y^2)	`extreme` `e`^−(x²+y²)(`x`²+2`y`²)
extreme 1/3 x^3+2x+4x+1	`extreme` 13 `x`³+2`x`+4`x`+1
extreme y=-x^3+3x^2-5	`extreme` `y`=−`x`³+3`x`²−5
extreme f(x)=x^3-ax^2	`extreme` `f`(`x`)=`x`³−`ax`²
extreme f(x)=3x^2+4y^3-12xy+37	`extreme` `f`(`x`)=3`x`²+4`y`³−12`xy`+37
extreme f(x)=15x+18y-2x^2+2xy+3y^2	`extreme` `f`(`x`)=15`x`+18`y`−2`x`²+2`xy`+3`y`²
extreme f(x,y)=x^3-12x+y^2+6y+14	`extreme` `f`(`x`,`y`)=`x`³−12`x`+`y`²+6`y`+14
extreme f(x)=x^{-7}ln(x)	`extreme` `f`(`x`)=`x`⁻⁷ln(`x`)
extreme y=(5x^2)/((x-4)^2)	`extreme` `y`=5`x`²(`x`−4)²
extreme f(x)=x(x-10)^2	`extreme` `f`(`x`)=`x`(`x`−10)²
extreme 5x^4-x^5+4	`extreme` 5`x`⁴−`x`⁵+4
extreme f(x)=x^2+2y+y^2-8	`extreme` `f`(`x`)=`x`²+2`y`+`y`²−8
extreme f(x)=xsqrt(3x-x^2)	`extreme` `f`(`x`)=`x`√3`x`−`x`²
extreme y=cos(3x)-2	`extreme` `y`=cos(3`x`)−2
extreme f(x)=-3x^3+4x^2,-2<= x<= 2	`extreme` `f`(`x`)=−3`x`³+4`x`²,−2≤ `x`≤ 2
extreme (x^2+36)/(x^2)	`extreme` `x`²+36`x`²
extreme f(x,y)=xe^y-x^2-e^y	`extreme` `f`(`x`,`y`)=`xe`^y−`x`²−`e`^y
extreme f(x)=((5+x))/((3-x))	`extreme` `f`(`x`)=(5+`x`)(3−`x`)
extreme f(x)=-1/2 x^4+16x^2-15	`extreme` `f`(`x`)=−12 `x`⁴+16`x`²−15
extreme f(x)=10x^{3/4}e^{-x}	`extreme` `f`(`x`)=10`x`³⁴`e`^−x
extreme f(x)=2x-4y+6z=56	`extreme` `f`(`x`)=2`x`−4`y`+6`z`=56
extreme y=1-x^2-z^2	`extreme` `y`=1−`x`²−`z`²
extreme 20x^2-200x+3	`extreme` 20`x`²−200`x`+3
extreme y=(x^4)/(1+x^3)	`extreme` `y`=`x`⁴1+`x`³
extreme (200)/(x+4+2x)	`extreme` 200`x`+4+2`x`
extreme f(x)=-0.3t^2+2.4t+98.2	`extreme` `f`(`x`)=−0.3`t`²+2.4`t`+98.2
extreme f(x)=((x^2-8))/((x-3))	`extreme` `f`(`x`)=(`x`²−8)(`x`−3)
extreme f(x)=4.3x-0.01x^2-8	`extreme` `f`(`x`)=4.3`x`−0.01`x`²−8
extreme f(x)=x^5-3125x,-7<= x<= 7	`extreme` `f`(`x`)=`x`⁵−3125`x`,−7≤ `x`≤ 7
extreme (-2ln(x)-2)/(x^2)	`extreme` −2ln(`x`)−2`x`²
extreme f(x)=x^2+(200)/x ,[0,infinity ]	`extreme` `f`(`x`)=`x`²+200`x` ,[0,∞ ]
extreme 3x^2-6x-9,0<= x<= 4	`extreme` 3`x`²−6`x`−9,0≤ `x`≤ 4
extreme ((1-x^2)^3)/(x^3)	`extreme` (1−`x`²)³`x`³
extreme 121000x-1000/28 x^2	`extreme` 121000`x`−100028 `x`²
extreme f(x)=-8/3 x^3+4x^2+48x+9	`extreme` `f`(`x`)=−83 `x`³+4`x`²+48`x`+9
extreme f(x)=1400x-2x^2	`extreme` `f`(`x`)=1400`x`−2`x`²
extreme 100x+y	`extreme` 100`x`+`y`
extreme 1/(x^2-3*x+3)	`extreme` 1`x`²−3· `x`+3
d/(db)((A+b)c)	`ddb` ((`A`+`b`)`c`)
extreme x^4+12x^3-12x+11	`extreme` `x`⁴+12`x`³−12`x`+11
extreme x^2-130x+4000	`extreme` `x`²−130`x`+4000
extreme y=3xln(x)	`extreme` `y`=3`x`ln(`x`)
extreme f(x)=(100000)/x+75000+1000x	`extreme` `f`(`x`)=100000`x` +75000+1000`x`
extreme y=e^x-3e^{-x}-4x	`extreme` `y`=`e`^x−3`e`^−x−4`x`
extreme f(x)=-6x^3-54x^2-144x-90	`extreme` `f`(`x`)=−6`x`³−54`x`²−144`x`−90
extreme f(x)=((x+y-xy)/(x-y+xy))	`extreme` `f`(`x`)=(`x`+`y`−`xyx`−`y`+`xy` )
extreme 3(x+2)(x-10)	`extreme` 3(`x`+2)(`x`−10)
extreme f(x,y)=1-x^2-x-3y^2+y	`extreme` `f`(`x`,`y`)=1−`x`²−`x`−3`y`²+`y`
extreme f(x)=1.4te^{-2.9t}	`extreme` `f`(`x`)=1.4`te`^−2.9t
extreme f(x)=2x^3-9x^2-24x+9,-2<= x<= 5	`extreme` `f`(`x`)=2`x`³−9`x`²−24`x`+9,−2≤ `x`≤ 5
extreme f(x)=(9x)/(sqrt(x-4))	`extreme` `f`(`x`)=9`x`√`x`−4
extreme f(x)=xe^{(-x^2)/(32)}	`extreme` `f`(`x`)=`xe`^−x²32
extreme 2400=30x*10y	`extreme` 2400=30`x`· 10`y`
extreme f(-1.2)=3p^3+4q^3-2p^2q-4p-5q	`extreme` `f`(−1.2)=3`p`³+4`q`³−2`p`²`q`−4`p`−5`q`
extreme f(x)=8ex-y-5xy+6y^2	`extreme` `f`(`x`)=8`ex`−`y`−5`xy`+6`y`²
extreme f(x)=-1/50 x^2+1.85x-8.5	`extreme` `f`(`x`)=−150 `x`²+1.85`x`−8.5
extreme f(x)=2x^3-3x^2-6x	`extreme` `f`(`x`)=2`x`³−3`x`²−6`x`
extreme f(x,y)=x^2-2x+2y^2-4*y	`extreme` `f`(`x`,`y`)=`x`²−2· `x`+2· `y`²−4· `y`
extreme f(x)=0.00397t^2-0.593t+33.718	`extreme` `f`(`x`)=0.00397`t`²−0.593`t`+33.718
extreme f(x)=f(x)=ex-x,-4<= x<= 2	`extreme` `f`(`x`)=`f`(`x`)=`ex`−`x`,−4≤ `x`≤ 2
extreme f(x)=4x^2-48x+190	`extreme` `f`(`x`)=4`x`²−48`x`+190
extreme f(x,y)=e^{9x^2+6y^2+1}	`extreme` `f`(`x`,`y`)=`e`^9x²+6y²+1
extreme f(x)=((sqrt(3)-cos(θ))/(sin(θ)))	`extreme` `f`(`x`)=(√3−cos(θ)sin(θ) )
extreme f(xy)=-x^3-y^2+3x-2y	`extreme` `f`(`xy`)=−`x`³−`y`²+3`x`−2`y`
extreme 9/8 y 3/4	`extreme` 98 `y`34
extreme f(x)=-2x^3+27x^2-108x,2<= x<= 7	`extreme` `f`(`x`)=−2`x`³+27`x`²−108`x`,2≤ `x`≤ 7
extreme f(x,y)=sqrt(64-4x^2-y^2)	`extreme` `f`(`x`,`y`)=√64−4`x`²−`y`²
extreme f(x)=x^2+3y^2-2x+6y	`extreme` `f`(`x`)=`x`²+3`y`²−2`x`+6`y`
extreme (-8x+75)/(9x-61)	`extreme` −8`x`+759`x`−61
extreme 4+(7+5x)^{2/5}	`extreme` 4+(7+5`x`)²⁵
extreme 2.8x	`extreme` 2.8`x`
extreme f(x)=-(x^2-50)/(x^2-25)	`extreme` `f`(`x`)=−`x`²−50`x`²−25
extreme f(x)=(1/8)e^{-x}	`extreme` `f`(`x`)=(18 )`e`^−x
extreme U(x,y)=-x^2-y^2+22x+18y-102	`extreme` `U`(`x`,`y`)=−`x`²−`y`²+22`x`+18`y`−102
extreme f(x)=-2x+7	`extreme` `f`(`x`)=−2`x`+7
extreme f(t)=7e^{-7t}u(t)	`extreme` `f`(`t`)=7`e`^−7t`u`(`t`)
extreme y=(x-(200)/x)	`extreme` `y`=(`x`−200`x` )
extreme f(x)=3x^2+4y^2	`extreme` `f`(`x`)=3`x`²+4`y`²
extreme f(y)=4x^3y+3x^2+y^2+4-y	`extreme` `f`(`y`)=4`x`³`y`+3`x`²+`y`²+4−`y`
extreme-2ln(x-6)+2	`extreme` −2ln(`x`−6)+2
extreme y=1+40x^3-3x^5	`extreme` `y`=1+40`x`³−3`x`⁵
extreme f(x)=(4,2x-10)=(x-1,y+2)	`extreme` `f`(`x`)=(4,2`x`−10)=(`x`−1,`y`+2)
extreme f(x)=80x^{1/4}-x^{5/4}	`extreme` `f`(`x`)=80`x`¹⁴−`x`⁵⁴
extreme f(x)=120t-16t^2	`extreme` `f`(`x`)=120`t`−16`t`²
extreme x^2-y^2+1	`extreme` `x`²−`y`²+1
extreme f(x,y)=9x^2-2x^3+3y^2+6xy	`extreme` `f`(`x`,`y`)=9`x`²−2`x`³+3`y`²+6`xy`
extreme f(x)=395x^2-2370x^3,0<= x<= 0.16	`extreme` `f`(`x`)=395`x`²−2370`x`³,0≤ `x`≤ 0.16
extreme C(t)= t/(4t^2+11)	`extreme` `C`(`t`)=`t`4`t`²+11

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