7. We define the one-sided derivative from the right and the left by the formulas (respectively) D+ f(x) = lim h→0+ D¯ f(xo) = lim h→0- f(xo + h)-f(xo) h f(xo + h) -f(xo) h Show that a function f has a derivative at xo if and only if D* f(xo) and D¯f(xo) exist and are equal.
7. We define the one-sided derivative from the right and the left by the formulas (respectively) D+ f(x) = lim h→0+ D¯ f(xo) = lim h→0- f(xo + h)-f(xo) h f(xo + h) -f(xo) h Show that a function f has a derivative at xo if and only if D* f(xo) and D¯f(xo) exist and are equal.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 48CR
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