If f'(x) = -f(x) and f(1) = 1, what is f(x)? f(x) = e-x-1 Option 2 f(x) = e-x Option 4 f(x) = e¹-x Option 3 f(x) = 12e-2x+2 Option 1 [HINT: Observe what happens when you take the derivative of e^5x. Then get 1 point its second derivative. Then its third. Then its fourth; and lastly, the fifth. Which among the choices follow the pattern or is equal to the expression you got?] If y = enx, for any natural number n, what is dxn
If f'(x) = -f(x) and f(1) = 1, what is f(x)? f(x) = e-x-1 Option 2 f(x) = e-x Option 4 f(x) = e¹-x Option 3 f(x) = 12e-2x+2 Option 1 [HINT: Observe what happens when you take the derivative of e^5x. Then get 1 point its second derivative. Then its third. Then its fourth; and lastly, the fifth. Which among the choices follow the pattern or is equal to the expression you got?] If y = enx, for any natural number n, what is dxn
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
answer 2&3
![10:30 AM Mon Nov 7
[HINT: Which of the given choices will produce a derivative which, when
evaluated at x=1, gives an answer of -1?]
If f'(x) = -f(x) and f(1) = 1, what is f(x)?
f(x) = e-x-1
Option 2
f(x) = ex
Option 4
docs.google.com
f(x) = e¹-x
n! ex
O Option 3
f(x) = 12e-2x+2
O Option 1
[HINT: Observe what happens when you take the derivative of e^5x. Then get 1 point
its second derivative. Then its third. Then its fourth; and lastly, the fifth.
Which among the choices follow the pattern or equal to the expression
you got?]
dny.
If y = enx, for any natural number n, what is
dxn
1 point
n! enx
@ 74%](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F16c08729-8699-45e7-b214-6c32571dc65b%2F484566c3-4280-45a6-b132-f4a5a025b81d%2F4m53q9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:10:30 AM Mon Nov 7
[HINT: Which of the given choices will produce a derivative which, when
evaluated at x=1, gives an answer of -1?]
If f'(x) = -f(x) and f(1) = 1, what is f(x)?
f(x) = e-x-1
Option 2
f(x) = ex
Option 4
docs.google.com
f(x) = e¹-x
n! ex
O Option 3
f(x) = 12e-2x+2
O Option 1
[HINT: Observe what happens when you take the derivative of e^5x. Then get 1 point
its second derivative. Then its third. Then its fourth; and lastly, the fifth.
Which among the choices follow the pattern or equal to the expression
you got?]
dny.
If y = enx, for any natural number n, what is
dxn
1 point
n! enx
@ 74%
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