Chapter 5.1, Problem 48E

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2. In the figure above, f', the derivative of function f, is shown. f is a twice differentiable function on xE(-∞,∞). f"(-0.8) = 0 and f"(1.3) = 0. (a) Name the value(s) of x for which fhas a relative minimum. Justify your answer. (b) For what values of x is f increasing? Justify your answer. (c) For what values of x is the graph of f concave downward? Justify your answer. (d) LA-0.5) – f(o) -0.5 – 0 f(-0.5) – f(0) positive or negative? Justify your answer.

3. If fis differentiable for all z, then we say that f'is an entire function. If ƒ and g are entire functions, decide which of the following are entire functions. (a) [ƒ(z)]³³ (d) f(1/z) (b) f(z)g(z) (e) f(z − 1) (c) f(z)/g(z) (†) f(g(z))

The graph of the derivative f' of a function f is shown. y = f'(x) लिए 2 6 (a) On what intervals is f increasing ? (Enter your answer using interval notation.) y 0 x = x On what intervals is f decreasing? (Enter your answer using interval notation.) (b) At what values of x does f have a local maximum or local minimum ? (Enter your answers as a comma-separated list.)