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مسائل مشهورة

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مسائل Functions & Graphing مشهورة

extreme f(x)=2x^3+y^3+3x^2-3y-12x-4	`extreme` `f`(`x`)=2`x`³+`y`³+3`x`²−3`y`−12`x`−4
extreme f(x)=(2x)/(x^2+4),-4<= x<= 4	`extreme` `f`(`x`)=2`xx`²+4 ,−4≤ `x`≤ 4
extreme (5x)/(x^2-9)	`extreme` 5`xx`²−9
extreme 3x^2+24x+45	`extreme` 3`x`²+24`x`+45
extreme f(x)=(e^x)/(x^7)	`extreme` `f`(`x`)=`e`^x`x`⁷
extreme f(x)=7x^4-2x^2-8x+8	`extreme` `f`(`x`)=7`x`⁴−2`x`²−8`x`+8
extreme f(x)=(x^3)/(-x^2+4)	`extreme` `f`(`x`)=`x`³−`x`²+4
extreme f(x)=((x^2-63))/(x-8)	`extreme` `f`(`x`)=(`x`²−63)`x`−8
extreme x^3+8y^3-6xy+5	`extreme` `x`³+8`y`³−6`xy`+5
extreme f(x)=4x^3-60x^2+200x	`extreme` `f`(`x`)=4`x`³−60`x`²+200`x`
extreme f(x)=x^3+2y^2+3xy+8	`extreme` `f`(`x`)=`x`³+2`y`²+3`xy`+8
extreme f(x,y)=x^2+xy+y^2-6x-9y	`extreme` `f`(`x`,`y`)=`x`²+`xy`+`y`²−6`x`−9`y`
extreme (x+3)/(x+2)	`extreme` `x`+3`x`+2
extreme f(x)=x(sqrt((39900-x)/5))	`extreme` `f`(`x`)=`x`(√39900−`x`5 )
extreme f(x)=x^3-x^2-x+5,-1<= x<= 2	`extreme` `f`(`x`)=`x`³−`x`²−`x`+5,−1≤ `x`≤ 2
extreme f(x)=24x-24x^2+6x^3	`extreme` `f`(`x`)=24`x`−24`x`²+6`x`³
extreme f(x)=-2x^2-4x+3	`extreme` `f`(`x`)=−2`x`²−4`x`+3
extreme f(x)=x^2log_{9}(x)	`extreme` `f`(`x`)=`x`²log₉(`x`)
extreme f(x)=2000+530(ln(x))	`extreme` `f`(`x`)=2000+530(ln(`x`))
extreme f(x)=(3x+4)/(6x+1)	`extreme` `f`(`x`)=3`x`+46`x`+1
extreme f(x)=3x^4-96x^2+1	`extreme` `f`(`x`)=3`x`⁴−96`x`²+1
extreme f(x)=0.003x^2+4.2x-50	`extreme` `f`(`x`)=0.003`x`²+4.2`x`−50
extreme f(x)=-3x^2+1	`extreme` `f`(`x`)=−3`x`²+1
extreme f(x)=-3x^2+3	`extreme` `f`(`x`)=−3`x`²+3
extreme f(x)=2x^3+x^2-20x	`extreme` `f`(`x`)=2`x`³+`x`²−20`x`
extreme f(x)=2x^2-4x[0.3]	`extreme` `f`(`x`)=2`x`²−4`x`[0.3]
extreme f(xy)=4x+8y	`extreme` `f`(`xy`)=4`x`+8`y`
extreme 5sin(3x)-5	`extreme` 5sin(3`x`)−5
extreme f(x,y)=3x^2y+4xy-2	`extreme` `f`(`x`,`y`)=3`x`²`y`+4`xy`−2
extreme 1/2 (5x-3)	`extreme` 12 (5`x`−3)
extreme f(x)=(3x^2+6)^2	`extreme` `f`(`x`)=(3`x`²+6)²
extreme f(x,y)=x^2+4xy+5y^2-7x+9y-10	`extreme` `f`(`x`,`y`)=`x`²+4`xy`+5`y`²−7`x`+9`y`−10
extreme f(x)=9x-18cos(x),-2<= x<= 0	`extreme` `f`(`x`)=9`x`−18cos(`x`),−2≤ `x`≤ 0
extreme f(x)=2x^2-4x,0<= x<= 3	`extreme` `f`(`x`)=2`x`²−4`x`,0≤ `x`≤ 3
extreme x^2-18x+79	`extreme` `x`²−18`x`+79
extreme f(x)=3x^4-294x^2+3,-8<= x<= 8	`extreme` `f`(`x`)=3`x`⁴−294`x`²+3,−8≤ `x`≤ 8
extreme f(x)=2x^2-7,-7<= x<= 7	`extreme` `f`(`x`)=2`x`²−7,−7≤ `x`≤ 7
extreme x^2-18x+86	`extreme` `x`²−18`x`+86
extreme 2x^2-4x+6	`extreme` 2`x`²−4`x`+6
extreme f(x)=3(x-e^x)	`extreme` `f`(`x`)=3(`x`−`e`^x)
extreme f(x)=x^3+2x^2-4x+7	`extreme` `f`(`x`)=`x`³+2`x`²−4`x`+7
extreme f(x,y)=-4xy+2x^2-10y^2-4y^3-1	`extreme` `f`(`x`,`y`)=−4`xy`+2`x`²−10`y`²−4`y`³−1
extreme 4sin(2x),-2pi<= x<= pi	`extreme` 4sin(2`x`),−2π≤ `x`≤ π
extreme 0.3x^2-66x+15239	`extreme` 0.3`x`²−66`x`+15239
extreme a(-6-0)^2	`extreme` `a`(−6−0)²
extreme f(x,y)=2xy-(x^2y)/3-(2xy^2)/3	`extreme` `f`(`x`,`y`)=2`xy`−`x`²`y`3 −2`xy`²3
extreme f(x)=4sec(x)	`extreme` `f`(`x`)=4sec(`x`)
extreme f(x,y)=yx^2-3xye^{-xy}	`extreme` `f`(`x`,`y`)=`yx`²−3`xye`^−xy
extreme f(x,y)=x^3-9xy-4y^2	`extreme` `f`(`x`,`y`)=`x`³−9`xy`−4`y`²
extreme y=4-6x^2	`extreme` `y`=4−6`x`²
extreme (x^2+2)/(x-3)	`extreme` `x`²+2`x`−3
extreme f(x)=5+(48)/x+3x^2	`extreme` `f`(`x`)=5+48`x` +3`x`²
extreme E(x,y)=15xy-22xy	`extreme` `E`(`x`,`y`)=15`xy`−22`xy`
extreme f(x)=4(x-4)^{2/3}	`extreme` `f`(`x`)=4(`x`−4)²³
extreme f(x)=2x^2+16x-5	`extreme` `f`(`x`)=2`x`²+16`x`−5
extreme f(x)=x(x-1)^5	`extreme` `f`(`x`)=`x`(`x`−1)⁵
extreme 2x^2-30x^2+54x+2	`extreme` 2`x`²−30`x`²+54`x`+2
extreme y=(x-6)ln(x-6)	`extreme` `y`=(`x`−6)ln(`x`−6)
extreme f(x,y)=(2y^2+x^2)e^{-(x^2+y^2-3)}	`extreme` `f`(`x`,`y`)=(2`y`²+`x`²)`e`^{−(x²+y²−3)}
extreme p(x)=12x^4-62x^3+ax^2-98x+30	`extreme` `p`(`x`)=12`x`⁴−62`x`³+`ax`²−98`x`+30
extreme y=3z^2-3x^2	`extreme` `y`=3`z`²−3`x`²
extreme 4-y^3-x^2-3xy	`extreme` 4−`y`³−`x`²−3`xy`
extreme (10x^3-2)/(2x^3+5x^2+9x)	`extreme` 10`x`³−22`x`³+5`x`²+9`x`
extreme-6x^2+336x-4320	`extreme` −6`x`²+336`x`−4320
extreme y=\sqrt[3]{x}+1/(\sqrt[3]{x)}	`extreme` `y`=³√`x`+1³√`x`
extreme f(x)=(12x)/(3.5x^2+2.5)	`extreme` `f`(`x`)=12`x`3.5`x`²+2.5
extreme f(y)=14x^2-2x^3+2y^2+4xy	`extreme` `f`(`y`)=14`x`²−2`x`³+2`y`²+4`xy`
extreme f(x)=x(152-x)	`extreme` `f`(`x`)=`x`(152−`x`)
extreme f(x,y)=7x^2y+9xy^2	`extreme` `f`(`x`,`y`)=7`x`²`y`+9`xy`²
extreme f(x)=x^2+xy+y^2+2x-2y+6	`extreme` `f`(`x`)=`x`²+`xy`+`y`²+2`x`−2`y`+6
extreme f(x)=165000x-100x^2	`extreme` `f`(`x`)=165000`x`−100`x`²
extreme x/(x^2+81)	`extreme` `xx`²+81
extreme f(x)= 1/(sqrt(2pi))e^{(-x^2)/2}	`extreme` `f`(`x`)=1√2π `e`^−x²2
extreme f(x)=(2x)/(x^2+16),-5<= x<= 5	`extreme` `f`(`x`)=2`xx`²+16 ,−5≤ `x`≤ 5
extreme f(x)=(3+x)/(7-x),-7<= x<= 0	`extreme` `f`(`x`)=3+`x`7−`x` ,−7≤ `x`≤ 0
extreme f(x)=e^{6x^2+4y^2+10}	`extreme` `f`(`x`)=`e`^6x²+4y²+10
extreme f(x,y)=(x^2-y^2)e^{-(x^2+y^2)}	`extreme` `f`(`x`,`y`)=(`x`²−`y`²)`e`^−(x²+y²)
extreme f(x)=x(x+3)e^{-2x}	`extreme` `f`(`x`)=`x`(`x`+3)`e`^−2x
extreme f(x)=-45x^2+400x	`extreme` `f`(`x`)=−45`x`²+400`x`
extreme f(x)=3x^2-2x+5	`extreme` `f`(`x`)=3`x`²−2`x`+5
extreme f(x)=((2x^2+4x))/((2+x^2))	`extreme` `f`(`x`)=(2`x`²+4`x`)(2+`x`²)
extreme f(x)=x^3+8x+12	`extreme` `f`(`x`)=`x`³+8`x`+12
extreme 7-6x-x^3	`extreme` 7−6`x`−`x`³
extreme f(x)=x(e^{-x/3})	`extreme` `f`(`x`)=`x`(`e`^−x3)
extreme f(x)=x^2-14x+4	`extreme` `f`(`x`)=`x`²−14`x`+4
extreme f(x)=x^2-14x+6	`extreme` `f`(`x`)=`x`²−14`x`+6
extreme f(x,y)=x^3+3xy+y^3+k	`extreme` `f`(`x`,`y`)=`x`³+3`xy`+`y`³+`k`
extreme f(x)=5+5x-5x^2,0<= x<= 3	`extreme` `f`(`x`)=5+5`x`−5`x`²,0≤ `x`≤ 3
extreme f(x)=-2x^2-x+4	`extreme` `f`(`x`)=−2`x`²−`x`+4
extreme y=1250sin(2x)	`extreme` `y`=1250sin(2`x`)
extreme f(x,y)=e^{2y-x^2-y^2}	`extreme` `f`(`x`,`y`)=`e`^{2y−x²−y²}
extreme f(x,y)=x^2(x+y)+6xy	`extreme` `f`(`x`,`y`)=`x`²(`x`+`y`)+6`xy`
extreme f(x)=-4x^3+12x^2-10	`extreme` `f`(`x`)=−4`x`³+12`x`²−10
extreme f(x)=2x+7ln(x)	`extreme` `f`(`x`)=2`x`+7ln(`x`)
extreme 68-11	`extreme` 68−11
monotone f(x)=x^3-75x+3	`monotone` `f`(`x`)=`x`³−75`x`+3
symmetry y=(x-5)^2-4	`symmetry` `y`=(`x`−5)²−4
extreme-(x+1)(x-1)^2	`extreme` −(`x`+1)(`x`−1)²
endbehavior f(x)=-(x-1)(x+2)(x+1)^2	`endbehavior` `f`(`x`)=−(`x`−1)(`x`+2)(`x`+1)²
intercepts x	`intercepts` `x`

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