SOLUTION: As part of an exercise how would one get the reverse (antiderivative) of {{{e^(x/9)}}} and the reverse of {{{ e^(2x) }}} The last one I was just curious about. My problem state

Algebra ->  Equations -> SOLUTION: As part of an exercise how would one get the reverse (antiderivative) of {{{e^(x/9)}}} and the reverse of {{{ e^(2x) }}} The last one I was just curious about. My problem state      Log On


   



Question 997555: As part of an exercise how would one get the reverse (antiderivative) of e%5E%28x%2F9%29 and the reverse of +e%5E%282x%29+
The last one I was just curious about.
My problem states to determine the functions with these conditions.
f'(x) = e^(x/9)
f(0)=19
f(x)=Ae^(bx)+c
My teacher said we cannot use integrals to solve. I am unsure what this question is asking me to do exactly.
Please help
Thank you

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
As part of an exercise how would one get the reverse (antiderivative) of e%5E%28x%2F9%29 and the reverse of +e%5E%282x%29+
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(d/dx)9e^(x/9) + C = e^(x/9)
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+e%5E%282x%29+ --> e%5E%282x%29%2F2+%2B+C
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The last one I was just curious about.
My problem states to determine the functions with these conditions.
f'(x) = e^(x/9)
f(0)=19
f(x)=Ae^(bx)+c
---
f(0) = e^(0)*9 + C = 19
C = 10
--> f(x) = 9e^(x/9) + 10
----------------
My teacher said we cannot use integrals to solve. I am unsure what this question is asking me to do exactly.
----
The anti-derivative is the integral. Not sure what that means about not using integrals.