f ( x ) is cubic polynomial with f (2) = 18 and f (1) = –1. Also f ( x ) has local maxima…
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
f(x) is cubic polynomial with f(2) = 18 and f(1) = –1. Also f(x) has local maxima at x = –1 and f (x) has local minima at x = 0, then
- the distance between (–1, 2) and (a, f(a)), where
x = a is the point of local minima, is
- f(x) is increasing for

- f ′(x) has local minima at x = 1
- the value of f(0) = 15
Answer
(D) the value of f (0) = 15
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- Let the function f : ℝ → ℝ be defined by f ( x ) = x 3 − x 2 + ( x − 1)sin x and let g : ℝ → ℝ be an…
- Let f ( x ) be a non-constant twice differentiable function defined on (–∞, ∞) such that f ( x ) = f (1 – x )…
- If y 2 = P (x), a polynomial of degree n 3, then 2 d d x (y^ 3 d^ 2 y d x^ 2 )
- Let f: [ 1 2 , 1 ] R (the set of all real numbers) be a positive, non-constant and differentiable function…
- The function f(x)= ( +x) (e+x) is
- Let f & g be differentiable functions satisfying g ’ (a ) = 2, g (a ) = b & fog = I (Identity function). Then…
- Consider the polynomial: f ( x ) = 1 + 2 x + 3 x 2 + 4 x 3 . Let s be the sum of all distinct real roots of f…
- Let f : R → R be any function. Defined g : R → R by g ( x ) = | f ( x )| for all x . Then g is
More Limit, Continuity and Differentiability questions · Browse all practice questions