[" 76.If "f(2+x)=f(-x)" for all "x in R" ,then differentiability at "x],[=4" implies differentiability at "],[[" a."x=1," b."x=-1],[" c."x=-2," d.cannot say anything "]]

[" 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]

The set of all points where f(x)=2x|x| is differentiable

If f(x)= int_(0)^(x)(f(t))^(2) dt, f:R rarr R be differentiable function and f(g(x)) is differentiable at x=a , then

If f(x)= int_(0)^(x)(f(t))^(2) dt, f:R rarr R be differentiable function and f(g(x)) is differentiable at x=a , then

If f(x)= int_(0)^(x)(f(t))^(2) dt, f:R rarr R be differentiable function and f(g(x)) is differentiable at x=a , then

If f(x)= int_(0)^(x)(f(t))^(2) dt, f:R rarr R be differentiable function and f(g(x)) is differentiable at x=a , then

If f(x)= int_(0)^(x)(f(t))^(2) dt, f:R rarr R be differentiable function and f(g(x)) is differentiable at x=a , then

Show if f(x)=|x| is differentiable for all x.

If f(x)=x^5-3x^3+2x^2+1 . Find the differentiation of f(x) w.r.t.x.

A function f:R rarr R satisfies the equation f(x+y)=f(x)f(y) for allx,y in R and f(x)!=0 for all x in R .If f(x) is differentiable at x=0 .If f(x)=2, then prove that f'(x)=2f(x) .