SOLUTION: Determine if the given piecewise function is differentiable at the origin, using the limit as h approaches 0 from both sides. {{{8x+tan(x)}}} when x is greater than or equal to

Algebra ->  Functions -> SOLUTION: Determine if the given piecewise function is differentiable at the origin, using the limit as h approaches 0 from both sides. {{{8x+tan(x)}}} when x is greater than or equal to       Log On


   

Question 1152834: Determine if the given piecewise function is differentiable at the origin, using the limit as h approaches 0 from both sides.
8x%2Btan%28x%29 when x is greater than or equal to 0, and
8x%5E2 when x is less than 0.
Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
.

The limit from the left is 0.

The limit from the right is 8 + 1 = 9.


The limits are different, so the given piecewise function is NOT differentiable at the origin.