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Consider the function g(x) = |3x + 4|. (a) Is the function differentiable at x =...

Consider the function g(x) = |3x + 4|.

(a) Is the function differentiable at x = 10? Find out using ARCs. If it is not differentiable there, you do not have to do anything else. If it is differentiable, write down the equation of the tangent line thru (10, g(10)).

(b) Graph the function. Can you spot a point “a” such that the tangent line through (a, f(a)) does not exist? If yes, show using ARCS that g(x) is not differentiable there.

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