Let `h(x) = min {x, x^2}`, for every real number of X. Then (A) h is continuous for all x (B) h is differentiable for all x (C) `h^'(x)` = 1, for all x > 1 (D) h is not differentiable at two values of x

Let h(x) = Min. (x, x^(2)) , for every real number x, then

Let f be differentiable for all x, If f(1)=-2 and f'(x)>=2 for all x in[1,6] then find the range of values of f(6)

Let f(x) = {{:(min{x, x^(2)}, x >= 0),(max{2x, x^(2)-1}, x (A) f(x) is continuous at x=0 (B) f(x) is differentiable at x=1 (C) f(x) is not differentiable at exactly three point (D) f(x) is every where continuous

Let h(x)=f(x)-(f(x))^(2)+(f(x))^(3) for every real x. Then,

Let h(x)=f(x)-(f(x))^(2)+(f(x))^(3) for every real x. Then,

Let f be a function which is continuous and differentiable for all real x.If f(2)=-4 and f'(x)>=6 for all x in[2,4], then

Let f(x)=(x+|x|)|x|. Then,for all x is continuous (b) f is differentiable for some x (c) f' is continuous (d) f is continuous

The function f(x)=(sin(pi[x-pi]))/(4+[x]^2) , where [] denotes the greatest integer function, is continuous as well as differentiable for all x in R (b) continuous for all x but not differentiable at some x (c) differentiable for all x but not continuous at some x . (d) none of these