Let p ( x ) = a 0 + a 1 x 2 + a 2 x 4 + - - - - - a n x 2 n be a polynomial in a real…
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
Let p (x) = a0 + a1x2 + a2x4+ - - - - - anx2n be a polynomial in a real variable x with 0 < a0 < a1 < a2 - - - - < an. The function p (x) has
- neither a maximum nor minimum
- Only one maximum
- Only one minimum
- Only one maximum and only one minimum
Answer
(C) Only one minimum
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- If the line ax + by + c = 0 is a normal to the curve xy = 1, then
- Let f : R → R be given by f(x)= array ll x^ 5 +5 x^ 4 +10 x^ 3 +10 x^ 2 +3 x+1, & x Then which of the…
- If y = f (x) is an odd differentiable function defined on (–∞, ∞) such that f ′ (3) = –2, then f ′ (–3) equals
- Let f (x) be a polynomial of degree 3 such that f (3) = 1, f ′ (3) = – 1, f ‘’ (3) = 0 and f ‘’’(3) = 12 …
- Let f : [0, 1] → R (the set of all real numbers) be a function. Suppose the function f is twice…
- The derivative of f (tan x) w.r.t. g (sec x) at x = 4 , where f ’(1) = 2 and g ’ ( 2 ) = 4, is
- A non zero polynomial with real coefficients has the property that f (x) = f’(x) . f’’ (x). The leading…
- If ( y )^ ( x / 2) + 3 2 Sec –1 (2x) + 2 x tan (log (x+2)) = 0 then dy/dx at x = –1 is
More Limit, Continuity and Differentiability questions · Browse all practice questions