Differentiability in an Interval

JEE Main Mathematics · Continuity and Differentiability · 5 questions, latest first

• Let f(x)= {e^x-1, x<0; x^2-5 x+6, x ≥ 0} and g(x)=f(|x|)+|f(x)|. If the number of points where g is not continuous and is not…20264 April, Shift 2 · Q22
• The number of points, at which the function f(x)= max {6 x, 2+3 x^2}+|x-1| cos |x^2-1/4|, x ∈(-π, π), is not differentiable, is…20264 April, Shift 1 · Q25
• Let the function f(x)=(x^2-1)|x^2-a x+2|+ cos |x| be not differentiable at the two points x=α=2 and x=β. Then the distance of the…202529 January, Shift 2 · Q17
• Let f(x)=|2 x^2+5| x|-3|, x ∈ R. If m and n denote the number of points where f is not continuous and not differentiable…20241 February, Shift 2 · Q8
• Consider the function f:(0, ∞) → R defined by f(x)=e^-| log_e x|. If m and n be respectively the number of points at which f is…202431 January, Shift 2 · Q8