Product Rule: Derivative of first times second, plus first times derivative of second
f '(x)= f '(x) • g(x) + f(x) • g'(x)
Example: h(x)= (sinx)(x^6 + x)
h '(x)= (cosx)(x^6 + x) + (sinx)(5x^5 + 1)
Sunday, January 10, 2010
Awesome Product Rule Video!
I found this video to be exceptionally helpful. While the book did in fact strip everything of "frills," as previously stated, so did this video. It also provided examples, step by step, of different styles of a product property problem. The video used actual number examples, beyond "u" and "v", like the book does, which I find to be tremendously confusing. I'm hoping the source of this video, will be able to provide help with many more properties and rules.
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nice video i used the same one for mine , i also found that it was very helpful to see someone do a step by step simple explanation of the product rule. I also liked how you mentioned there were more examples in the text, i found it nice to watch the videos then look at the examples from the book. also, i liked how you put the video right into the text, how did you do that?
ReplyDeleteI used a hyper link. I think thats what its called. When you are creating a post, there are little icons on the top, the hyper link sort of looks like a little globe. Highlight the word, such as video, and click the hyperlink icon, pretty easy from there.
ReplyDeleteHey skirdude, I'm glad you found that video and linked it into your post! I think I've seen videos that the same person has made for other math topics. I think you might want to check the Product Rule that you posted originally against the rule that the video shows in the first few seconds. Notice how he doesn't write f'(x) = but he writes [f(x)*g(x)]'. How are these different? Could you think of a way to write your Product Rule using other notation, like h(x), like you do in your example? (Maybe you'd want to add another line?)
ReplyDeleteThanks Cary! Would you suggest another line explaining the difference in the video versus my own example?
ReplyDelete