Question bank/JEE Main/Mathematics

JEE MainMathematicsModerateMonotonocity

If f(x) =a_0 + a_1 x^2 + a_2 x^4 +........+a_n x^2n be
a polynomial where 0 < a_0 < a_1 < a_2 <....< a_n then f(x)

has

Show answer and solution
+ 2a_2 x^2 +......+ na_n x^2n-2] = 0
⇒\Rightarrow x = 0 which is the point of local minima

Source: Grass-G / M-12 Mathematics Paper 2 Nov.docx

Need a video for this idea?

Scan any doubt from your notes and get a whiteboard explanation.