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Find $ f $.
$ f'(t) = 3^t - 3/t $, $ \quad f(1) = 2 $, $ \quad f(-1) = 1 $
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01:40
Wen Zheng
00:44
Amrita Bhasin
Calculus 1 / AB
Calculus 2 / BC
Chapter 4
Applications of Differentiation
Section 9
Antiderivatives
Derivatives
Differentiation
Volume
Campbell University
Harvey Mudd College
Baylor University
Lectures
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A review is a form of evaluation, analysis, and judgment of a body of work, such as a book, movie, album, play, software application, video game, or scientific research. Reviews may be used to assess the value of a resource, or to provide a summary of the content of the resource, or to judge the importance of the resource.
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$ f…
for this problem here, what we have is that F prime of X is equal to 3 to the T minus three Over Act So three of the Act -3 over X. So when we look at this, when we take the anti derivative, so F of X. That's going to give us the natural log. That's the US. 3 to the T mm Through the X over the natural log of three -3 times the natural log of the absolute value of X. So that right there is going to be our final answer. But then we have plus C. So when we use the initial conditions and plug in our value one, we end up getting too. So as a result, we know that it'll be plus or minus your 0.7. It's not right. There is going to be our final answer for the anti derivative of F prime of X.
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