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Question: Answered & Verified by Expert
Let fx=10-x-5,xR, then the set of all values of x at which ffx is not differentiable is
MathematicsContinuity and DifferentiabilityJEE Main
Options:
  • A 0,5,10
  • B 5,10
  • C 0,5,10,15
  • D 5,10,15
Solution:
2315 Upvotes Verified Answer
The correct answer is: 0,5,10
ffx=10-fx-5=10-10-x-5-5
=10-5-x-510-x-5-5
Points where ffx is non-differentiable are
x-5=0 & x-5=5
x=5 & x=0,10

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