Suppose that f(x) has derivative f(x) = (x 4)2ex/2.Then f (x) = 12 (x 4)(x 8)ex/2.(a)
Chapter 4, Problem 3(choose chapter or problem)
Suppose that f(x) has derivative \(f^{\prime}(x)=(x-4)^{2} e^{-x / 2}\).
Then \(f^{\prime \prime}(x)=-\frac{1}{2}(x-4)(x-8) e^{-x / 2}\).
(a) The function f is increasing on the interval(s) .
(b) The function f is concave up on the interval(s).
(c) The function f is concave down on the interval(s).
Equation Transcription:
Text Transcription:
f'(x) =(x-4)2e^-x/2
f''(x) = -1/2(x-4)(x-8)e^-x/2
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