The function which has neither maximum nor minimum at x=0 is

Let P(x)=a_(0)+a_(1)x^(2)+a_(2)x^(4)+...+a_(n)x^(2n) be a polynomial in a real variable x with 0

Let P(x)=a_0+a_1x^2+a_2x^4++a_n x^(2n) be a polynomial in a real variable x with 0 < a_0 < a_1 < a_2 <......< a_n . The function P(x) has a. neither a maximum nor a minimum b. only one maximum c. only one minimum d. only one maximum and only one minimum e. none of these

Let P(x)=a_0+a_1x^2+a_2x^4++a_n x^(2n) be a polynomial in a real variable x with 0

Let P(x)=a_0+a_1x^2+a_2x^4++a_n x^(2n) be a polynomial in a real variable x with 0 < a_0 < a_1 < a_2 << a_n . The function P(x) has a. neither a maximum nor a minimum b. only one maximum c. only one minimum d. only one maximum and only one minimum e. none of these

Which one of the following statements is correct in respect of the function f(x)=x^(3)sin x?(a) It has local maximum at x=0. (b) It has local minimum at x=0. (c) It has neither maximum nor minimum at x=0.( d) It has maximum value 1.

Show that , the following functions have neither a maximum nor a minimum value : (cos(x+a))/(cos(x+b))

Show that , the following functions have neither a maximum nor a minimum value : logx

Show that , the following functions have neither a maximum nor a minimum value : 2x+tan^(-1)x

Show that , the following functions have neither a maximum nor a minimum value : e^(x)

Show that the function f(x) = log x has neither a maximum nor a minium value.