Question: A function is said to be differentiable at a point, a, if the derivatives from both sides are equal and is continuous at a.Another way
A function is said to be differentiable at a point, a, if the derivatives from both sides are equal and is continuous at a.Another way to phrase this is:f'(x)-=limxa-f(x)-f(a)a=limxaf(x)-f(a)a=f'(x)Note: This definition implies that f(x) must exist at the point a. Why?For the following functions, state whether or not you think the function is differentiable at the point given and why or why not. Feel free to use Desmos.a.y=|x| at the point a=0b.y=1x at the point a=0c.f(x)={x2forx1xforx>1
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