求济南求前大师解答

难题!!!求高手解答!急!!!要过程!!!谢谢!!
难题!!!求高手解答!急!!!要过程!!!谢谢!! 20
设f(x)=-1/3x3+1/2x2+2ax (1)a=1时,求f(x)的单调区间; (2)若f(x)在[1,2] 上是增函数,求a的取值范围; (3)当0&a&2时,f(x)在[1 . 4]上的最小值为-16/3,求f(x)在[1. 4]上的最大值?
(1)a=1时f(x)=-1/3x^3+1/2x^2+2x
f'(x)=-x^2+x+2&0得-1&x&2所以增区间[-1,2]
&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&减区间[-无穷,-1]与[2,正无穷]
(2)若f(x)在[1,2] 上是增函数,f'(x)=-x^2+x+2a在[1,2] 上恒大于等于0
所以-x^2+x+2a&=0推出a&=(1/2)x^2-x/2&&& x属于[1,2] 恒成立
所以a&=(1/2)x^2-x/2&&& x属于[1,2]d的最大值
(3)f'(x)=-x^2+x+2a
f'(1)&0,f'(4)&0所以[1,4]上先增后减
若最小值为f(1)=-16/3求a看是否满足0&a&2
若最小值为f(4)=-16/3求a看是否满足0&a&2
满足的算左边的极值点x=?
f(x)即为最大值!
若有疑问可以追问!望采纳!
尊重他人劳动!谢谢!
唉!!!!下考了!!!!
晕,这是个好题啊!我正在算第三问!还要不要?
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数学领域专家求大师解答_百度知道
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My mom took me to swimming lesson. I can finish 50m in 45 second s. I swim once a month in our regional swimming pool, butterfly. I can do the 4 strokes. I still remember I was afraid of my coach, because it is good for our health. Free style is my best. No w I am a good swimmer, back stroke and breast stroke, free style. I learn ed how to swim when I was only 5One of my favourite sports is swimming
提问者评价
你的回答完美的解决了我的问题,谢谢!
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设学校计划买x台电脑。甲商场共需钱数:0*(1-25%)*(x-2)=x乙商场共需钱数:0*(1-20%)*(x-1)=x若到甲商场买更优惠,则x<x解得: x>6即当买多于6台的时候,到甲商场买更优惠。<b...
结果是5不管是少于等于大于

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