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مسائل مشهورة

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مسائل Functions & Graphing مشهورة

extreme f(x)=-10/3 x^3-31/2 x^2-3x+4	`extreme` `f`(`x`)=−103 `x`³−312 `x`²−3`x`+4
extreme f(x)=(x^2+7x+13)/(x+4)	`extreme` `f`(`x`)=`x`²+7`x`+13`x`+4
extreme ((5x-8))/x	`extreme` (5`x`−8)`x`
extreme f(x)=sin(x),-5<= x<= 6	`extreme` `f`(`x`)=sin(`x`),−5≤ `x`≤ 6
extreme f(x)=(-2x^2+16)/(sqrt(16-y^2))	`extreme` `f`(`x`)=−2`x`²+16√16−`y`²
extreme f(x)=8+(9+5x)^{2/5}	`extreme` `f`(`x`)=8+(9+5`x`)²⁵
extreme f(x,y)=7x^2+8y^2+4x-5y+8	`extreme` `f`(`x`,`y`)=7`x`²+8`y`²+4`x`−5`y`+8
extreme f(x)=-7sec(x),-pi/3 <= x<= pi/3	`extreme` `f`(`x`)=−7sec(`x`),−π3 ≤ `x`≤ π3
extreme f(x,y)=(xy(9-x-2y))/3	`extreme` `f`(`x`,`y`)=`xy`(9−`x`−2`y`)3
extreme x^3+3xy^2-3y^2-3x^2+11	`extreme` `x`³+3`xy`²−3`y`²−3`x`²+11
extreme 0.001x^2+3.4x-90	`extreme` 0.001`x`²+3.4`x`−90
extreme f(x)=12x-12y-2x^2-3y^2-25	`extreme` `f`(`x`)=12`x`−12`y`−2`x`²−3`y`²−25
extreme f(x)=3x^3+9x^2-72x	`extreme` `f`(`x`)=3`x`³+9`x`²−72`x`
extreme f(xy)=x^2y^3-2x^4y	`extreme` `f`(`xy`)=`x`²`y`³−2`x`⁴`y`
extreme f(x)=x^2+2y^2-xy+14y	`extreme` `f`(`x`)=`x`²+2`y`²−`xy`+14`y`
extreme f(x) 1/((x^2-10x+35)^3)	`extreme` `f`(`x`)1(`x`²−10`x`+35)³
extreme f(x)=(x^3)/3+x^2-3x+4	`extreme` `f`(`x`)=`x`³3 +`x`²−3`x`+4
extreme f(x)=x^2-10x-1,2<= x<= 6	`extreme` `f`(`x`)=`x`²−10`x`−1,2≤ `x`≤ 6
extreme f(x)=\sqrt[3]{3x^3+24}	`extreme` `f`(`x`)=³√3`x`³+24
extreme \sqrt[3]{x}(28-x)	`extreme` ³√`x`(28−`x`)
extreme f(x)=x^3+15x-9	`extreme` `f`(`x`)=`x`³+15`x`−9
extreme f(x)=x^3-2x^2-15x+52.2	`extreme` `f`(`x`)=`x`³−2`x`²−15`x`+52.2
extreme f(x)=3x^2-5y^2-255x+70y+23	`extreme` `f`(`x`)=3`x`²−5`y`²−255`x`+70`y`+23
extreme f(x)=5xe^{-x}+9	`extreme` `f`(`x`)=5`xe`^−x+9
extreme f(x,y)=3x^2+2y^2-4y+10y	`extreme` `f`(`x`,`y`)=3`x`²+2`y`²−4`y`+10`y`
extreme E(a,b)=(a+b)^2-(a-b)^2	`extreme` `E`(`a`,`b`)=(`a`+`b`)²−(`a`−`b`)²
extreme g(x)=x^2-10x+27	`extreme` `g`(`x`)=`x`²−10`x`+27
extreme f(x)=2-4(sin^2(x))	`extreme` `f`(`x`)=2−4(sin²(`x`))
extreme f(x)=4xy-x^4-2y^2	`extreme` `f`(`x`)=4`xy`−`x`⁴−2`y`²
extreme f(x)=(x^2(x-3))/(x+6)	`extreme` `f`(`x`)=`x`²(`x`−3)`x`+6
extreme f(x)=f(x)=xsqrt(x^2+4)	`extreme` `f`(`x`)=`f`(`x`)=`x`√`x`²+4
extreme f(x)=2x^3+3x^2-120x+9	`extreme` `f`(`x`)=2`x`³+3`x`²−120`x`+9
extreme f(x)=x^3+12x^2-27x+6,-10<= x<= 0	`extreme` `f`(`x`)=`x`³+12`x`²−27`x`+6,−10≤ `x`≤ 0
extreme y=(2x^2-1)^2	`extreme` `y`=(2`x`²−1)²
extreme f(x)= 6/(-4x+2)	`extreme` `f`(`x`)=6−4`x`+2
extreme f(y)=x^{y+1}	`extreme` `f`(`y`)=`x`^y+1
extreme f(x)=x^2log_{8}(x)	`extreme` `f`(`x`)=`x`²log₈(`x`)
extreme x+(192)/x	`extreme` `x`+192`x`
extreme f(x)=-(x^2)/(10)+2x+3	`extreme` `f`(`x`)=−`x`²10 +2`x`+3
extreme f(x)=(x^3-3x^2+3x+1)	`extreme` `f`(`x`)=(`x`³−3`x`²+3`x`+1)
extreme f(x)=x^3-3x+1,-3/2 <= x<= 3	`extreme` `f`(`x`)=`x`³−3`x`+1,−32 ≤ `x`≤ 3
extreme 16x-4ln(x)	`extreme` 16· `x`−4· ln(`x`)
extreme f(x,y,z)=64	`extreme` `f`(`x`,`y`,`z`)=64
extreme f(x)=(16)/x+2pix^2	`extreme` `f`(`x`)=16`x` +2π`x`²
extreme y=x+9/x-4	`extreme` `y`=`x`+9`x` −4
extreme y=1990+550ln(x)	`extreme` `y`=1990+550ln(`x`)
extreme f(x)=((15/4)x)+(5x^3)-(90x^2)+15	`extreme` `f`(`x`)=((154 )`x`)+(5`x`³)−(90`x`²)+15
extreme f(x,y)=1+e^{(x^2+y^2)}	`extreme` `f`(`x`,`y`)=1+`e`^(x²+y²)
extreme A(3,-5)B(1,-2)	`extreme` `A`(3,−5)`B`(1,−2)
extreme f(x)=518x-3x^2-100-50x	`extreme` `f`(`x`)=518`x`−3`x`²−100−50`x`
extreme 3x^2y+y^3-3y	`extreme` 3`x`²`y`+`y`³−3`y`
extreme f(x)=-x^3+x^2	`extreme` `f`(`x`)=−`x`³+`x`²
extreme f(x)=2(5x)^x	`extreme` `f`(`x`)=2(5`x`)^x
extreme f(x,y)=sqrt(400-16x^2-81y^2)	`extreme` `f`(`x`,`y`)=√400−16`x`²−81`y`²
extreme f(x)=ln(7+x^2)	`extreme` `f`(`x`)=ln(7+`x`²)
extreme y=-x^3+3/2 x^2+18x	`extreme` `y`=−`x`³+32 `x`²+18`x`
extreme 3x+3	`extreme` 3`x`+3
extreme (x-2)^3+1	`extreme` (`x`−2)³+1
extreme (5x)/(x^2+9)	`extreme` 5`xx`²+9
extreme f(x)=(1+x/5)x^{2/3}	`extreme` `f`(`x`)=(1+`x`5 )`x`²³
extreme 3x+y	`extreme` 3`x`+`y`
extreme f(x)=(e^x)/((3+e^x))	`extreme` `f`(`x`)=`e`^x(3+`e`^x)
extreme f(x)=-x^2+190	`extreme` `f`(`x`)=−`x`²+190
extreme f(x)=28x-(x^2)/(105)	`extreme` `f`(`x`)=28`x`−`x`²105
extreme 3^{x-1}	`extreme` 3^x−1
extreme f(x)=1+sec^2(x)	`extreme` `f`(`x`)=1+sec²(`x`)
extreme f(x)=x^4-8x^2+9	`extreme` `f`(`x`)=`x`⁴−8`x`²+9
extreme f(x)=ln(5x^2-4x-3)	`extreme` `f`(`x`)=ln(5`x`²−4`x`−3)
extreme f(x)=x^{-2}-13x^{-1}	`extreme` `f`(`x`)=`x`⁻²−13`x`⁻¹
extreme f(x)=68x-x^3	`extreme` `f`(`x`)=68`x`−`x`³
extreme f(x)=2x^3-7	`extreme` `f`(`x`)=2`x`³−7
extreme f(x)=x^4+2y^2-2xy	`extreme` `f`(`x`)=`x`⁴+2`y`²−2`xy`
extreme 3+4x^2-x^4	`extreme` 3+4`x`²−`x`⁴
extreme f(x,y)=(2e^{-x^2}+e^{-3y^2})	`extreme` `f`(`x`,`y`)=(2`e`^−x²+`e`^−3y²)
extreme f(x,y)=(x^4+2x^3y^2+2)/(3(x-1)y)	`extreme` `f`(`x`,`y`)=`x`⁴+2`x`³`y`²+23(`x`−1)`y`
extreme f(x)=(x-1)^2+sqrt(4-4x^2)	`extreme` `f`(`x`)=(`x`−1)²+√4−4`x`²
extreme x^2-5xy+4y^2-2x+5y	`extreme` `x`²−5`xy`+4`y`²−2`x`+5`y`
extreme f(x)=x^2+4x+11	`extreme` `f`(`x`)=`x`²+4`x`+11
extreme f(x)=x^2+4x+10	`extreme` `f`(`x`)=`x`²+4`x`+10
extreme f(x)=x^2+4x+17	`extreme` `f`(`x`)=`x`²+4`x`+17
extreme f(x)=xsqrt(324-x^2)	`extreme` `f`(`x`)=`x`√324−`x`²
extreme y=-9/4 x^2+8	`extreme` `y`=−94 `x`²+8
extreme f(x)= 4/3 x^3+22x^2+96x+7	`extreme` `f`(`x`)=43 `x`³+22`x`²+96`x`+7
extreme f(x)=x^2(x-3)^2	`extreme` `f`(`x`)=`x`²(`x`−3)²
extreme f(x,y)=21xye^{-x^2-y^2}	`extreme` `f`(`x`,`y`)=21`xye`^−x²−y²
extreme 2x^3-3x^2-x+9	`extreme` 2`x`³−3`x`²−`x`+9
extreme f(x)=(x-6)e^{-6x}	`extreme` `f`(`x`)=(`x`−6)`e`^−6x
extreme 2t^{10}(4-t^2)^5	`extreme` 2`t`¹⁰(4−`t`²)⁵
extreme f(x)=f(x,y)=-x^2-2y^2+xy+x+3y	`extreme` `f`(`x`)=`f`(`x`,`y`)=−`x`²−2`y`²+`xy`+`x`+3`y`
extreme f(y)=x^3+y^3-27xy	`extreme` `f`(`y`)=`x`³+`y`³−27`xy`
extreme f(x)=-2x^2+4x+6	`extreme` `f`(`x`)=−2`x`²+4`x`+6
extreme f(x)=12x^2-88x+121	`extreme` `f`(`x`)=12`x`²−88`x`+121
extreme f(x)=9x^3-7x^2+3x+10,-5<= x<= 6	`extreme` `f`(`x`)=9`x`³−7`x`²+3`x`+10,−5≤ `x`≤ 6
extreme f(x,y)=sqrt(400-49x^2-9y^2)	`extreme` `f`(`x`,`y`)=√400−49`x`²−9`y`²
extreme f(x)=2x^3+24x^2+72x+7	`extreme` `f`(`x`)=2`x`³+24`x`²+72`x`+7
extreme f(x,y)=sqrt(400-64x^2-36y^2)	`extreme` `f`(`x`,`y`)=√400−64`x`²−36`y`²
extreme xe^{((5-x))/4}	`extreme` `xe`^(5−x)4
extreme-x^4+3x^3-x^2-5x+7	`extreme` −`x`⁴+3`x`³−`x`²−5`x`+7
extreme f(x)=-3x^3-9	`extreme` `f`(`x`)=−3`x`³−9
extreme f(x)=-1/2 x^2+5-8	`extreme` `f`(`x`)=−12 `x`²+5−8

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