Question

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

Answer 1

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

Answer 2

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.

Answer 3

A = 1/2 and B = -1?

Answer 4

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

Answer 5

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

Answer 6

Thanks a lot!

Answer 7

welcome ^_^