In learning about the fundamental theorem of calculus I think I used both inductive and deductive reasoning to come to different conclusions on what I thought about it. Mainly for most things I think about I start off by being general and use inductive reasoning but once I become more involved in a topic and truly understand it my deductive reasoning kicks in. As of now I only am familiar with this theorem in a broad aspect so I can only infer what is going on based on graphs of antiderivatives and integrals. I think I don't fully understand the topic so I really am unable to figure out myself how this really works and why it could be useful. Sometimes in math I think the most coincidental things have a huge impact on a bunch of other random calculus related things so basically I think this theorem falls heavily on that assumption. It is very useful in finding the area under curves which probably relates to so many other things that we will eventually learn about. Calculus makes a lot of sense to me but it is really hard to look at things in a broad picture aspect. I wish my deductive reasoning kicked in a little earlier than usual so I could be the first to actually assess what is going on but sadly that is not the case.
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## Haley FoxJust a high schooler trying to learn and blog. ## Archives
March 2017
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