At what point is the function f(x)= |3-x| not differentiable.

Expert Solution

milcah answered 2 years ago

Suppose that f is a differentiable function with derivative f" (x) = (x − 3)(x +...

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Suppose f is a twice differentiable function such that f′(x)>0 and f′′(x)<0 everywhere, and consider the...

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How do you show that the function "f(x) = {[x-1;x<2], [2x-3;x>=2]}" is not differentiable at "x=2”?

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How is f(x) =|x-1| differentiable at x=2?

How is f(x) =|x-1| differentiable at x=2? Give details Explaination.

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For the following exercises, consider the graph of the function f and determine where the function is continuous/ discontinuous and differentiable/not differentiable.

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Let f be a continuous function on [a, b] which is differentiable on (a,b). Then f is non-decreasing on [a,b] if and only if f′(x) ≥ 0 for all x ∈ (a,b), while if f is non-increasing on [a,b] if and only if f′(x) ≤ 0 for all x ∈ (a, b). can you please prove this theorem? thank you!

Question

At what point is the function f(x)= |3-x| not differentiable.

Solutions

Expert Solution

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