is
continuous but not differentiable at x = 1
differentiable at x = 1
neither continuous nor differentiable at x = 1
continuous everywhere
Find C of Lagrange's mean value theorem for the function f(x) = 3x2 + 5x + 7 in the interval [1, 3].
2
For f(x) = (x - 1)2/3, the mean value theorem is applicable to f(x) in the interval
[2, 4]
[0, 2]
[- 2, 2]
any finite interval
The differential coefficient of f(log(x)) with respect to x, where f(x) = log(x) is
None of these
The derivative of with respect to at x = 1/2 will be
1/4
4
0
C.
4
The value of . upto three places of decimals using the method of Newton-Raphson, will be
3.463
3.462
3.467
None of these