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
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Question 1152834: Determine if the given piecewise function is differentiable at the origin, using the limit as h approaches 0 from both sides.
when x is greater than or equal to 0, and
when x is less than 0.
Answer by ikleyn(52803) (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.
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