若函數(shù)f(x)=ax+blog2(x+√x*x+1)+1,在(-∞,0)上有最小值-3(a、b為非零常數(shù)),則函數(shù)f(x)在(0,+∞)上有最___值為_______
熱心網(wǎng)友
令G(X)=ax+blog2(x+根號(hào)x*x+1)由題得G(X)在x<0的最小值是-4而G(-X)=-G(X)是奇函數(shù)所以關(guān)于原點(diǎn)對(duì)稱即G(X)在x>0的最大值是4所以f(x)在x>0時(shí)有最大值是5
熱心網(wǎng)友
f(x)=ax+blog2(x+√x*x+1)+1 式子不清楚是根下x*x,還是跟下x*x+1
熱心網(wǎng)友
f(x)=ax+blog2(x+√x*x+1)+1 式子不清楚,是根下x*x,還是跟下x*x+1