Question -
Answer -
(i) We have,
f(x)= ex
Now, if┬а
. But, the exponential function can neverassume 0 for any value of┬аx.
Therefore, there does notexist┬аcтИИ┬аR┬аsuch that
Hence, function┬аf┬аdoes nothave maxima or minima.
(ii) We have,
g(x)= log┬аx
Therefore, there does notexist┬аcтИИ┬аR┬аsuch that
.
Hence, function┬аg┬аdoes nothave maxima or minima.
(iii) We have,
h(x)=┬аx3┬а+┬аx2┬а+┬аx┬а+1
Now,
h(x)= 0 тЗТ 3x2┬а+2x┬а+ 1 = 0 тЗТ┬а
Therefore, there does notexist┬аcтИИ┬аR┬аsuch that
.
Hence, function┬аh┬аdoes nothave maxima or minima.