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일반적인 문제

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일반적인 Functions & Graphing 문제

extreme (6-x)/(x^3)	`extreme` 6−`xx`³
extreme f(x,y)=3xy-4x-4y+3	`extreme` `f`(`x`,`y`)=3`xy`−4`x`−4`y`+3
extreme h(x)=5-x^2(-3.1)	`extreme` `h`(`x`)=5−`x`²(−3.1)
extreme f(x)=4csc(x)	`extreme` `f`(`x`)=4csc(`x`)
extreme S(v,t)=vt-v/t(2t^2)/2	`extreme` `S`(`v`,`t`)=`v`· `t`−`vt` · 2`t`²2
extreme f(x)=2x^3-96x-3	`extreme` `f`(`x`)=2`x`³−96`x`−3
extreme xln(x/9)-x	`extreme` `x`ln(`x`9 )−`x`
extreme f(x)=x^3+x^2-6x	`extreme` `f`(`x`)=`x`³+`x`²−6`x`
extreme f(x,y)=x^2-2x+y^2+1	`extreme` `f`(`x`,`y`)=`x`²−2`x`+`y`²+1
extreme sqrt((x+3)/(x-2))	`extreme` √`x`+3`x`−2
extreme 3/4 2/5	`extreme` 34 25
extreme f(x)=3-4x-5x^2[-2.4]	`extreme` `f`(`x`)=3−4`x`−5`x`²[−2.4]
extreme f(x)=(x+2)/((x+1)(2-x))	`extreme` `f`(`x`)=`x`+2(`x`+1)(2−`x`)
extreme 4+(9x-36)/(sqrt((x-4)^2+65))	`extreme` 4+9`x`−36√(`x`−4)²+65
extreme f(x)=(-125)/4 x^4+x	`extreme` `f`(`x`)=−1254 `x`⁴+`x`
extreme f(x)=ln(x^2-6x-7)	`extreme` `f`(`x`)=ln(`x`²−6`x`−7)
extreme f(x)=sin(2pix)	`extreme` `f`(`x`)=sin(2π`x`)
extreme f(x)=x^2+y+xy	`extreme` `f`(`x`)=`x`²+`y`+`xy`
extreme y=2+3x-x^3	`extreme` `y`=2+3`x`−`x`³
extreme f(x)=x^2+9x+9	`extreme` `f`(`x`)=`x`²+9`x`+9
extreme 6xy-x^2y-xy^2	`extreme` 6`xy`−`x`²`y`−`xy`²
extreme f(x)=2x^3-3x^2-72x+9,-4<= x<= 5	`extreme` `f`(`x`)=2`x`³−3`x`²−72`x`+9,−4≤ `x`≤ 5
extreme f(x)=-3x^2+42x-141	`extreme` `f`(`x`)=−3`x`²+42`x`−141
extreme f(x)=x^2+9x-2	`extreme` `f`(`x`)=`x`²+9`x`−2
extreme f(x)=x^4-4x=x^2(x^2-4)	`extreme` `f`(`x`)=`x`⁴−4`x`=`x`²(`x`²−4)
extreme f(x)=x^{2/3}*(4-x^2)	`extreme` `f`(`x`)=`x`²³· (4−`x`²)
extreme 3x^2+2y^2-4y	`extreme` 3`x`²+2`y`²−4`y`
extreme f(x)=102t+0.5t^2-t^3	`extreme` `f`(`x`)=102`t`+0.5`t`²−`t`³
extreme f(x)=x^3-8x^2-12x+5	`extreme` `f`(`x`)=`x`³−8`x`²−12`x`+5
extreme f(x)=x^3-8x^2-12x+9	`extreme` `f`(`x`)=`x`³−8`x`²−12`x`+9
extreme f(x,y)=(2x-x^{(2)})(2y-y^{(2)})	`extreme` `f`(`x`,`y`)=(2`x`−`x`⁽²⁾)(2`y`−`y`⁽²⁾)
extreme f(x)=8+(9+7x)^{2/7}	`extreme` `f`(`x`)=8+(9+7`x`)²⁷
extreme f(x)=6x+7y	`extreme` `f`(`x`)=6`x`+7`y`
extreme f(x,y)=xy-3x^3y^2	`extreme` `f`(`x`,`y`)=`xy`−3`x`³`y`²
extreme f(x,y,z)=x^4+y^4-4xy	`extreme` `f`(`x`,`y`,`z`)=`x`⁴+`y`⁴−4`xy`
extreme f(x)=40000-2x^2	`extreme` `f`(`x`)=40000−2`x`²
extreme f(x)=x^2+y^2+2x-6y-3	`extreme` `f`(`x`)=`x`²+`y`²+2`x`−6`y`−3
extreme f(x)=x(25-2x)(48/2-x)	`extreme` `f`(`x`)=`x`(25−2`x`)(482 −`x`)
extreme f(x)=x^3-y^3+3x^2+3y^2-9x+5	`extreme` `f`(`x`)=`x`³−`y`³+3`x`²+3`y`²−9`x`+5
extreme f(x)= 4/3 x^3-25/2 x^2+6x+4	`extreme` `f`(`x`)=43 `x`³−252 `x`²+6`x`+4
extreme f(xy)=x^2y-15xy^2+12y	`extreme` `f`(`xy`)=`x`²`y`−15`xy`²+12`y`
extreme f(x)=12x^2-18x	`extreme` `f`(`x`)=12`x`²−18`x`
extreme-6x^5+180x^3-1350x+14	`extreme` −6`x`⁵+180`x`³−1350`x`+14
extreme ln(1-3x)	`extreme` ln(1−3`x`)
extreme ln(3x^2+12)	`extreme` ln(3`x`²+12)
단순화 (((y+1)b)/p)p+by	`simplify` ((`y`+1)`bp` )`p`+`by`
extreme f(x,y)=-2x^2+3y^2	`extreme` `f`(`x`,`y`)=−2`x`²+3`y`²
extreme f(x,y)=x^3+y^2+xy	`extreme` `f`(`x`,`y`)=`x`³+`y`²+`xy`
extreme f(x)=54x^4-8x	`extreme` `f`(`x`)=54`x`⁴−8`x`
extreme (x^3)/(x^2+x-2)	`extreme` `x`³`x`²+`x`−2
extreme f(x)=x^4+18x^2+5,-6<= x<= 6	`extreme` `f`(`x`)=`x`⁴+18`x`²+5,−6≤ `x`≤ 6
extreme ((x-1))/((x^2-x+1))	`extreme` (`x`−1)(`x`²−`x`+1)
extreme f(x)=(x^2-4y^2)e^{1-x^2-y^2}	`extreme` `f`(`x`)=(`x`²−4`y`²)`e`^{1−x²−y²}
extreme f(x,y)=x^3-3x+y^2-y^4	`extreme` `f`(`x`,`y`)=`x`³−3`x`+`y`²−`y`⁴
extreme f(x)=(x-10)^{1/3}	`extreme` `f`(`x`)=(`x`−10)¹³
extreme y=(2x-1)^2	`extreme` `y`=(2`x`−1)²
extreme f(x)=3x+(147)/x	`extreme` `f`(`x`)=3`x`+147`x`
extreme f(x,y)=x^{(2)}+y^{(2)}+x^{(2)}y+4	`extreme` `f`(`x`,`y`)=`x`⁽²⁾+`y`⁽²⁾+`x`⁽²⁾`y`+4
extreme 2cos(x)+2sin(x)	`extreme` 2cos(`x`)+2sin(`x`)
extreme f(x)= 8/(x^2-4)	`extreme` `f`(`x`)=8`x`²−4
extreme (3(x-7)(x-6))/(3(x-7))	`extreme` 3(`x`−7)(`x`−6)3(`x`−7)
extreme f(x)=x^3+x+1	`extreme` `f`(`x`)=`x`³+`x`+1
extreme f(x)=40x-3x^2	`extreme` `f`(`x`)=40`x`−3`x`²
extreme f(x)=-3x^2-5x-4	`extreme` `f`(`x`)=−3`x`²−5`x`−4
extreme f(x)=-8x^3+110x^2-143x+590	`extreme` `f`(`x`)=−8`x`³+110`x`²−143`x`+590
extreme f(x)=x^4+4x^3+15,-4<= x<= 1	`extreme` `f`(`x`)=`x`⁴+4`x`³+15,−4≤ `x`≤ 1
extreme f(x)=cos(x)[-pi/4 , pi/4 ]	`extreme` `f`(`x`)=cos(`x`)[−π4 ,π4 ]
extreme f(x)=x^2-x+9/4	`extreme` `f`(`x`)=`x`²−`x`+94
extreme f(x)=(12)/(6-x)-x/3+8	`extreme` `f`(`x`)=126−`x` −`x`3 +8
extreme y=-2x^2+12x-8	`extreme` `y`=−2`x`²+12`x`−8
extreme f(x)=x^3-3x^2-9x+6	`extreme` `f`(`x`)=`x`³−3`x`²−9`x`+6
extreme f(x,y)=ln(4x^2+9y^2-36)	`extreme` `f`(`x`,`y`)=ln(4`x`²+9`y`²−36)
extreme x^3-x^2-x+2	`extreme` `x`³−`x`²−`x`+2
extreme x^3-x^2-x+3	`extreme` `x`³−`x`²−`x`+3
extreme x^3-x^2-x+4	`extreme` `x`³−`x`²−`x`+4
extreme x^3-x^2-x+7	`extreme` `x`³−`x`²−`x`+7
extreme f(x)=x^5y^2-3x^3+10+5y^3-xy	`extreme` `f`(`x`)=`x`⁵`y`²−3`x`³+10+5`y`³−`xy`
extreme f(x)=(0.2t)/(t^2+59)	`extreme` `f`(`x`)=0.2`tt`²+59
extreme (18)/x+3x^2	`extreme` 18`x` +3`x`²
extreme f(x)=3x^2-4x+12	`extreme` `f`(`x`)=3`x`²−4`x`+12
extreme f(x)=x(-(2x)/3+4)	`extreme` `f`(`x`)=`x`(−2`x`3 +4)
extreme f(x,y)=2x^2+3y^2+2xy-6x-8y+11	`extreme` `f`(`x`,`y`)=2`x`²+3`y`²+2`xy`−6`x`−8`y`+11
extreme f(x,y)=x^2-2xy+1/3 y^3-4y	`extreme` `f`(`x`,`y`)=`x`²−2`xy`+13 `y`³−4`y`
extreme f(x)=4x^5-25x^4+40x^3-4[-1.4]	`extreme` `f`(`x`)=4`x`⁵−25`x`⁴+40`x`³−4[−1.4]
extreme f(x)=-1/2 x^2+15x-51	`extreme` `f`(`x`)=−12 `x`²+15`x`−51
extreme f(x)=(x^2-1/2)e^{-2x}	`extreme` `f`(`x`)=(`x`²−12 )`e`^−2x
extreme f(x)=x^2+y^2-16=0	`extreme` `f`(`x`)=`x`²+`y`²−16=0
extreme 2x^2-2x^2y+y^2	`extreme` 2`x`²−2`x`²`y`+`y`²
extreme x^2+x+2	`extreme` `x`²+`x`+2
extreme (x-5)/(x^2-18x+81)	`extreme` `x`−5`x`²−18`x`+81
extreme f(x,y)=x^3y^2+2xy-5	`extreme` `f`(`x`,`y`)=`x`³`y`²+2`xy`−5
extreme x^6-6/5 x^5	`extreme` `x`⁶−65 `x`⁵
extreme P(x,y)=0.3+x^2+0.2y^2+0.1xy-14x-10y+2000	`extreme` `P`(`x`,`y`)=0.3+`x`²+0.2`y`²+0.1`xy`−14`x`−10`y`+2000
extreme f(x,y)= 1/2 x^2+1/2 y^2-x^2y+5	`extreme` `f`(`x`,`y`)=12 `x`²+12 `y`²−`x`²`y`+5
extreme y=(x^4}{12}-\frac{x^3)/2+x^2+10	`extreme` `y`=`x`⁴12 −`x`³2 +`x`²+10
extreme f(x)=(x-2)^7(x+4)^7	`extreme` `f`(`x`)=(`x`−2)⁷(`x`+4)⁷
extreme sin^8(x)+cos^8(x)	`extreme` sin⁸(`x`)+cos⁸(`x`)
extreme f(x,y)=sqrt(400-81x^2-4y^2)	`extreme` `f`(`x`,`y`)=√400−81`x`²−4`y`²
extreme f(x)=9t^2+4t-10	`extreme` `f`(`x`)=9`t`²+4`t`−10
extreme (x^2-4)^{1/7},-2<= x<= 3	`extreme` (`x`²−4)¹⁷,−2≤ `x`≤ 3

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