Find the values of a and b so that f is differentiable everywhere.

Question

anonymous · Answer

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hartnn · Answer

ok, can you find atleast one equation in a and b  ?
lim x-> 1- f(x)= lim x->1+  f(x) for f to be differentiable

hartnn · Answer

the other equation in a and b, you will get from 
lim x-> 1- f'(x)= lim x->1+ f'(x) for f to be differentiable everywhere

so, just differentiate both sides and again take left and right limits, equate them to get 2nd equation in a and b
2 equation, 2 unknowns, easily solvable then.

anonymous · Answer

A = 1/2 and B = -1?

hartnn · Answer

i haven't calculated yet, i have ice cream on other hand :D
give me some time to verify :)

anonymous · Answer

No need, I checked the book, it's good! :)

anonymous · Answer

Thanks a lot!

hartnn · Answer

welcome ^_^