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 =
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
Related questions
Question
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
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6544d067-721a-44c9-b81e-111b88044ba0%2F58536c6d-dd20-4f64-8b21-1f84896f4395%2Fvdwmez9_processed.png&w=3840&q=75)
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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