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Define the left- and right-hand derivative of a function y f ( x ) at point (a, f(a)). 1. Find the left-and right hand derivative

Define the left- and right-hand derivative of a function yf(x) at point (a, f(a)).

1. Find the left-and right hand derivative of the function

g(t)={costt+1t0t>0 at t = 0.

2. Is y(t) continuous at t= 0?

3. Is g(t) differentiable t = 0?

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