Exercise II.6. Suppose f(): R → R is differentiable. (a) Suppose f(-) is convex. Show for any x, v € R", the function t→ f(x+ tv) is a convex function on R. Recall the definition of a convex function in 1D was given in Exercise 1.4(c). (b) Conversely, suppose the function t → f(x + tv) is a convex function on R for all x, v € R". Show that f() is convex on Rn

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