(13分)已知函数.(Ⅰ)若函数的图像在处的切线与直线垂直,求函

13分)已知函数.

(Ⅰ)若函数的图像在处的切线与直线垂直,求函数的单调区间;

  (Ⅱ)求函数的极值.

答案

解析:(Ⅰ)函数的定义域为

由题意易知,       ;

                            

时,时,

故函数的单调增区间为,单调减区间为.   …………………………6

   (Ⅱ)

     时,递减,无极值.

     时,由

时,时,

时,函数的极大值为

;

函数无极小值.                                 …………………………13

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