Question -
Answer -
(i) We have,
f(x)= ex
Now, if 
. But, the exponential function can neverassume 0 for any value of x.
Therefore, there does notexist c∈ R such that
Hence, function f does nothave maxima or minima.
(ii) We have,
g(x)= log x
Therefore, there does notexist c∈ R such that
.
Hence, function g does nothave maxima or minima.
(iii) We have,
h(x)= x3 + x2 + x +1
Now,
h(x)= 0 ⇒ 3x2 +2x + 1 = 0 ⇒ 
Therefore, there does notexist c∈ R such that
.
Hence, function h does nothave maxima or minima.