If `f(x)= ax^2-b, |x| lt1 ` and `f(x)=-1/|x|, |x| gt=1` is derivable at `x=1` then find values

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If `f(x)=[ax^2-b , if |x| lt1],[1/|x| , if |x| gt=1]` is differentiable at x=1 find a,b

If f(x)={{:(,ax^(2)-b,|x|lt 1),(,(1)/(|x|),|x| ge1):} is differentiable at x=1, then | 12 | CON...

Let `f(x)={a x^2+1,x gt 1`; `x+1/2,x lt =1.t h e n ,f(x)` is derivable at `x=1,` if `a=2` (b) `a...

If f(x)={■(ax^2+1,&x Leasthenequalto 1@x^2+ax+b,&xLeasthen1)┤ is differentiable at x=1, then ...👇

Find values of a and b so that f is differentiable at x=1 f(x)={ (1/x+ax^2 if x≤1@-bx-4 if x≫1

If f(x) = ax^2 -b, if x less than 1 & 1/|x|, if x ≥1 is differentiable at x = 1, find a, b.

If f(x) = ax + b; 0,1 2x² - x; 1,2 is a differentiable function in (0, 2) then a & b value ?

lf `f(x) ={ax^2+b ,x leq 1 and bx^2+ax+c , x gt1; b != 0`, then `f(x)` is continuous and dif