3. Let f(x)= ax+b, if x gt Xo. If fis differentiableat x, then1) a=x;b = -x2) a=2xx0,6 =-x?

х+с--lt x lt 021. f(x)={at x = 0e2-1e2-ocast0ltx+Iff(x) is differentiable at x=0 and (cllt= then1) a = 1 and 64b2 + c2 = 42) a = 0 and 64b2 + c2 = 23) a = 2 and 64b2 + c2 = 14) a = 3 and 64b2 + c2 = 3+++

Let f(x)={:{[x^(2) if xlex_(0)], [ax +b if xgtx_(0)]:} if 'f' is differentiable at x_(0) then

if f(x) = {{:(x^2, x le 1),(ax + b ,x gt 1):} is differentiable at x = 1 . Find the values of a and b.

If f(x)={{:(e^(2x^(3)+x),x gt 0),(ax+b, x le 0):} is differentiable at x = 0, then

If f(x)={{:(e^(2x^(3+x)),x gt 0),(ax+b, x le 0):} is differentiable at x = 0, then

4.U = 240,0 = toLet f(x)=x-al. (x) where o is a continuousfunction and o(a) +0. Then1) f'(a+)= '(a) 2) f is differentiable at x=a3) f'(a +)=-&'(a) 4) f'(a-)=-o(a)

Let f(x)={ax^(2)+1,x>1x+(1)/(2),x<=1. then ,f(x) is derivable at x=1, if a=2( b) a=1( c) a=0 (d) a=(1)/(2)

If f(x)={ax^(2)+b,x 1;b!=0, then f(x) is continuous and differentiable at x=1 if