Current location - Training Enrollment Network - Mathematics courses - The math review of the college entrance examination (20 15 Hedong district math module 2) has already known f (x = ln (ax+1)+x 2-ax-m (a > 0).
The math review of the college entrance examination (20 15 Hedong district math module 2) has already known f (x = ln (ax+1)+x 2-ax-m (a > 0).
( 1)f(x)=ln(ax+ 1)+x^2-ax-m

ax+ 1 & gt; 0x & gt; - 1/a

f'(x)=a/(ax+ 1)+2x-a=(2ax^2+2x-a^x-a+a)/(ax+ 1)

=(ax^2+2x)/(ax+ 1)

When x>0, f' (x) >; 0, the function is increased; When-1/a

(2) a = 1, f (x) = ln (x+ 1)+x 2-x-m has 1 positive roots and two (-1, 0) roots.

F(0) is the minimum value,-m.