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Let f(x)={{:(,x^(3),x lt 1),(,ax^(2)+bx+...

Let `f(x)={{:(,x^(3),x lt 1),(,ax^(2)+bx+c,:x ge 1):}`. If f''(1) exists, then the value of `(a^(2)+b^(2)+c^(2))` is

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MOTION-DIFFERENTIABILITY-Exercise - 4 | Level-I Previous Year | JEE Main
  1. Let f(x)={{:(,x^(3),x lt 1),(,ax^(2)+bx+c,:x ge 1):}. If f''(1) exists...

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  2. Let f: R to R be a function defined byf(x)="min" {x+1,|x|+1}. Then, wh...

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  3. Let f(x)={(x-1)sin1/(x-1)if\ x!=1 0,\ if\ x=1 . Then which one of t...

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  4. Let f(x)""=""x|x|""a n d""g(x)""=""s in x Statement 1 : gof is diff...

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  5. Let S={t in R: f(x)=|x-pi|(e^(|x|)-1)sin|x| is not differentiable at t...

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  6. Let g(x) = (x-1)^n/(log(cos^m(x-1))) ; 0 lt x lt 2 ,m and n and let p ...

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  7. Let f:R to R be a function such that f(x+y)=f(x)+f(y)"for all", x,y in...

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  8. If f(x) = {{:(-x-pi/2" , " x le - pi/2),(-cos x" , " -pi/2 lt ...

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  9. Let f:[a,b]to[1,oo) be a continuous function and let g:RtoR be defined...

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  10. Let f:RtoR and g:RtoR be respectively given by f(x)=|x|+1 and g(x)=x^(...

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  11. Let g: R -> R be a differentiable function with g(0) = 0,g'(1)=0,g'(1)...

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  12. Let f:R to R and h:R to R be differentiable functions such that f(x)=x...

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  13. Let a, b in RR and f : RR rarr RR be defined by f(x) = a cos(|x^3-x|) ...

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  14. Let f:[-1/2,2] rarr R and g:[-1/2,2] rarr R be functions defined by f(...

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  15. Let f: R->R be a differentiable function with f(0)=1 and satisfy...

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  16. Let f:(0,\ pi)->R be a twice differentiable function such that (lim...

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