QI) The function f (x) called invariant under differentiation opcrator function (IUDO. function) if: f'(x) = f(x). A) Show that: if u(x) = -2cosh(x) and v(x) = -sinh(x) + cosh(x) then both of u(x) and v(x is not TUDO. function but h(x) = (x) + v(x) is IUDO. function. B) give an example rather than h(x) in part A in this question.
QI) The function f (x) called invariant under differentiation opcrator function (IUDO. function) if: f'(x) = f(x). A) Show that: if u(x) = -2cosh(x) and v(x) = -sinh(x) + cosh(x) then both of u(x) and v(x is not TUDO. function but h(x) = (x) + v(x) is IUDO. function. B) give an example rather than h(x) in part A in this question.
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.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 35E
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Question
Transcribed Image Text:QI) The function f (x) called invariant under differentiation opcrator function (IUDO. function) if:
f'(x) = f(x).
A) Show that: if u(x) = -2cosh(x) and v(x) = -sinh(x) + cosh(x) then both of u(x) and v(x
is not TUDO. function but h(x) = (x) + v(x) is IUDO. function.
B) give an example rather than h(x) in part A in this question.
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