Explain in terms of tangent lines what it means for a function (x) to be differentiable...

Explain in terms of tangent lines what it means for a function (x) to be differentiable at a point x=c

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milcah answered 2 years ago

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

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

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Let f : Rn → R be a differentiable function. Suppose that a point x∗ is...

Let f : Rn → R be a differentiable function. Suppose that a point x∗ is a local minimum of f along every line passes through x∗; that is, the function g(α) = f(x^∗ + αd) is minimized at α = 0 for all d ∈ R^n. (i) Show that ∇f(x∗) = 0. (ii) Show by example that x^∗ neen not be a local minimum of f. Hint: Consider the function of two variables f(y, z) = (z − py^2)(z...

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Explain in terms of tangent lines what it means for a function (x) to be differentiable...

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