Let f(x)= array ll a x^3+b x^2+c x+d x , & x 0 2, & x=0 array . be a continuous function where a, b, c, d are in arithmetic progression. Then find the number of points where |f(|x|)| is non derivable.

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f(x)= cases a x^3+b x^2+c x+d x , & x 0 2, & x=0 cases f(x) is continuous d=0 and c=2 But a, b, c and d are in A.P. aligned a & =6, b=4, c=2, d=0 f(x) & = [ array ll 6 x^2+4 x+2, & x 0 2, & x=0 array . y & =|f(|x|)| aligned

Let f(x)= array ll a x^3+b x^2+c x+d x , & x 0 2, & x=0 array . be a continuous function where a, b, c, d are in arithmetic progression. Then find the number of points where |f(|x|)| is non derivable.

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