Chapter 2.3, Problem 35E

Let f(x)=tan−1x. Characterize the interval (a,b)(a,b) such that f-1 (a,b) is empty.

Algebraically explain that cos(x+1) function is DIFFERENTIABLE everywhere over its domain. Appreciate

Examine whether the following function is Analytic or not (z) In(x² + y²) + i tan (-) -1