If `f'(x) = (x - a)^(2n) (x - b)^(2m +1)` then
`f` at x = a is a point of neither max. nor min.

At x=af^(I)(x)=0,f^(II)(a)=0 also f^(III)(a)=0 and f^(IV)=+ve, then (i)f(x) is minima at x=a (i) f(x) is maxima at x=a (iii) f(x) has neither max nor min at x=a (iv) none of these

Let f(x)=(x^(3)-6x^(2)+12x-8)e^(x) Statement 1:f(x) is neither maximum nor minimum at x=2. statement 2: If a function x=2 is a point of inflection,then it is not a point of extremum.

If f(x)=|x|+|x-1|+|x-2| then which one of the following is not correct? (A) f(x) has a minimum at x=1 (B) f(x) has a minimum at x=0 (C) f(x) has neither a maximum nor a minimum at x=0 (D) f(x) has neither a maximum nor a minimum at x=2

f(x)=min({x,x^(2)} and g(x)=max{x,x^(2)}

Let f(x)= [(g(x)-g(-x))/(f(x)+f(-x))]^(m) such that m =2n in N and f(-x) ne -f(x) then f(x) is

Let A={x:x varepsilon R-}f is defined from A rarr R as f(x)=(2x)/(x-1) then f(x) is (a) Surjective but nor injective (b) injective but nor surjective (c) neither injective surjective (d) injective

Let f:R rarr R defined by f(x)=(x^(2))/(1+x^(2)) . Proved that f is neither injective nor surjective.

Let A={-1,0,1} and f={(x,x^(2)):x in A}. Show that f:A rarr A is neither one-one nor onto.

Let A={-1,0,1) and f={(x,x^(2)):x in A} Show that f:A rarr A is neither one-one nor onto.