Original function First derivative Second derivative f(t) = 5 t-3 f'(t) = f"(t) = = - 5e⁰ 15 t-2 30 t-1 f(z) - In100 f'(z) = 0 f"(z) = 0 h(p) = -2e¹-p h'(p) = -2e¹-p h" (p) -2e¹-p =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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state the name of each function used and their respective derivatives

Original function
First derivative
Second derivative
f(t) =
5
t-3
f'(t) =
f"(t) =
=
-
5e⁰
15
t-2
30
t-1
f(z) - In100
f'(z) = 0
f"(z) = 0
h(p) = -2e¹-p
h'(p) = -2e¹-p
h" (p)
-2e¹-p
=
Transcribed Image Text:Original function First derivative Second derivative f(t) = 5 t-3 f'(t) = f"(t) = = - 5e⁰ 15 t-2 30 t-1 f(z) - In100 f'(z) = 0 f"(z) = 0 h(p) = -2e¹-p h'(p) = -2e¹-p h" (p) -2e¹-p =
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