1. Tardigrade
  2. Question
  3. Mathematics
  4. If a differentiable function ' f ' satisfies the relation f(x+y)-f(x-y)=4 x y-10 y ∀ x, y ∈ R and f (1)=2, then find the number of points of non-derivability of g ( x )=|| f (| x |)|-(1/4)|.

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Q. If a differentiable function ' $f$ ' satisfies the relation $f(x+y)-f(x-y)=4 x y-10 y \forall x, y \in R$ and $f (1)=2$, then find the number of points of non-derivability of $g ( x )=|| f (| x |)\left|-\frac{1}{4}\right|$.

Continuity and Differentiability

Solution:

$f(x)=x^2-5 x+6$