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)

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

If f(0) = 0 ,f'(0) = 2 , then the value differentiable at x = 0 of function y = f[f{f(x)}] is _

Let F(x)=1+f(x)+(f(x))^2+(f(x))^3 where f(x) is an increasing differentiable function and F(x)=0 has a positive root, then

Let F(x)=1+f(x)+(f(x))^2+(f(x))^3 where f(x) is an increasing differentiable function and F(x)=0 hasa positive root, then

If (d/dx)f(x) = 4x^3 - 3/(x^4) such that f(2) = 0 . Then f(x) is

Let F(x)=1+f(x)+(f(x))^(2)+(f(x))^(3) where f(x) is an increasing differentiable function and F(x)=0 hasa positive root then

[" Let "f(x)=(x+|x|)" .Then for all "x],[" O "f" is continuous but not differentiable at "x=0],[" 0"f'" is differentiable for all "x" ."],[" 0"f'" is continuous but not differentiable at "x=0],[" O "f'" is continuous for all "x]

If (d)/(dx)f(x) = 4x^(3) - (3)/(x^(4)) such that f(2) = 0 . Then f(x) is