Given an example of a function which is continuous at `x =1` but not differentiable at `x=1`.

if f(xy) = f(x) f(y) for all x and y and if f(x) is continuous at x = 1, then show that it is continuous for all x except 0

y = cot^-1X rArr cot y = x Differentiate w.r. to x

y= tan^-1x rArr tan y = x Differentiate w.r. to x

f(x)={(x^2+2x, "" xle0,),(ax+b, "" x >0,):} is continuous and differentiable at x =0, find the values of a and b