[f(x)=p|sin x|+qe^(|x|)+r|x|^(3);f" is differentiable at "],[x=0" then "]

If f(x)=a|sin x|+be^(|x|)+c|x|^(3) and if f(x) is differentiable at x=0 then

If f(x)=p|sin x|+qe^(|x|)+r|x|^(3) and it is derivable at x=0 then which of the following is complete solution for p,p,q and r

The function f(x)=a sin |x| +be^|x| is differentiable at x=0 when

Show that f(x) = |x| sin x is differentiable at x=0.

Show that the function f (x) = (x)/(1 + |x| ) , x in R, is differentiable at x =0. Hence find f '(0).

Let f : R to R be a function such that f(x+y) = f(x)+f(y),Aax, y in R. If f (x) is differentiable at x = 0, then

Assertion (A) : f(x) = xsin ((1)/(x)) is differentiable at x=0 Reason (R): F(x)is continuous at x=0