Let f be defined by the following.

Question

F(x)= 3x-4 if x<3

8-x if x (less than or equal to) 3

find the left and right hand

f’(3+)

f’(3-)

Answer 1

Evaluate the derivative of the two functions at 3:

f'(3+) = d/dx(8-x) at 3 = -1

f'(3-) = d/dx(3x-4) at 3 = 3

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