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how to solve diffrentiability with standard procedure of f(a+h).

asked in Calculus by Veteran (10.5k points)   | 105 views
ans. is B right??
Yes, B is answer . in answer key 1 and 2 are RhD and LHd but i am getting 1 and 3.
when you check for differentiability, RHD is 3 for sure. it can not be 2 as f'(x) = 3x for x>1 and 1 for x<= 1

so f'(1) = 3 in case of RHD and 1 in case of LHD. as there is one more method by which you were asking to solve but this one is easy and both give same answer, so you are right @rahul.

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blue line is for x-1
pink is for x^3-1


u can see there is a sharp edge at x=1
so not differentiable.

answered by Veteran (11.5k points)  
edited by


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