let `f(x)` be a polynomial function of second degree. If `f(1)=f(-1)and a_(1),a_(2),a_(3)` are in AP, then show that `f'(a_(1)),f'(a_(2)),f'(a_(3))` are in AP.

Let f(x) be a polynomial function of the second degree. If f(1)=f(-1) and a_(1), a_(2),a_(3) are in AP, then f'(a_(1)),f'(a_(2)),f'(a_(3)) are in :

. If a_(1),a_(2),a_(3),...,a_(2n+1) are in AP then (a_(2n+1)+a_(1))+(a_(2n)+a_(2))+...+(a_(n+2)+a_(n)) is equal to

a_(1),a_(2),a_(3),......,a_(n), are in A.P such that a_(1)+a_(3)+a_(5)=-12 and a_(1)a_(2)a_(3)=8 then

Q.if a_(1)>0f or i=1,2,......,n and a_(1)a_(2),......a_(n)=1, then minimum value (1+a_(1))(1+a_(2)),...,,(1+a_(n)) is :

The number of increasing function from f : AtoB where A in {a_(1),a_(2),a_(3),a_(4),a_(5),a_(6)} , B in {1,2,3,….,9} such that a_(i+1) gt a_(i) AA I in N and a_(i) ne i is

The number of increasing function from f : AtoB where A in {a_(1),a_(2),a_(3),a_(4),a_(5),a_(6)} , B in {1,2,3,….,9} such that a_(i+1) gt a_(i) AA I in N and a_(i) ne i is

The number of increasing function from f : AtoB where A in {a_(1),a_(2),a_(3),a_(4),a_(5),a_(6)} , B in {1,2,3,….,9} such that a_(i+1) gt a_(i) AA I in N and a_(i) ne i is