The domain of the derivative of the functions f(x) array cc ⁻¹ x, & if |x| 1 1 2 (|x|-1), & if |x|1 array . is given by

Question

The domain of the derivative of the functions f(x) array cc ⁻¹ x, & if |x| 1 1 2 (|x|-1), & if |x|>1 array . is given by

Quantrex Academy · Accepted Answer

Correct answer: C. R- -1,1

aligned & f(x) cases 1 2 (-x-1) & x 1 cases & f^ (x) cases - 1 2 & x 1 cases aligned f(x) discontinuous at x=-1 and x=1 Hence f(x) is not differentiable at x=-1 and x=1

The domain of the derivative of the functions f(x) array cc ⁻¹ x, & if |x| 1 1 2 (|x|-1), & if |x|>1 array . is given by

Options

Correct answer

Step-by-step solution

More from Differentiation