Using Lagrange\'s theorem , find the value of c for the following functions : (i) `x^(3) - 3x^(2) +
Channel: Doubtnut
Date: 2019-12-29

Using Lagrange\'s theorem , find the value of c for the following functions : (i) `x^(3) - 3x^(2) + 2x` in the interval [0,1/2]. (ii) f(x) = `2x^(2) - 10x + 1` in the interval [2,7]. (iii) f(x) = (x-4) (x-6) in the interval [4,10]. (iv) f(x) = `sqrt(x-1)` in the interval [1,3]. (v) f(x) = `2x^(2) + 3x + 4` in the interval [1,2].