Showing If a Function Is Differentiable ATX 0 - Search Videos

Let f(x) is a differentiable function such that 4(∫0xf(x)⋅sinx... | Filo

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SOLVED: Let f(x) = x sin (1/x) for x # 0 and f(0) = 0 (a) Use the chain rule and the product rule to show that f is differentiable at each c # 0 and find f' (c) (You may assume that the derivative of sin x is cosx for allx e R.) (6) Use Definition [. 1 to show that f is differentiable at x 0 and find f'(0). (c) Show that f is not continuous atx = 0. (d) Let g(r) = x ifx 0. Determine whether O1 not g is differentiable atx = 0. Ifit is, find g (0).

SOLVED: Let f(x) = x sin (1/x) for x # 0 and f(0) = 0 (a) Use the chain rul…

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