Derivative Rules - Constant Multiple, Sum, and Difference Rules

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In this video I derive differentiation rules for taking the derivative of functions multiplied by a constant or functions added or subtracted to other functions.

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Derivative Rules

Derivative Rules - Constant sum rules Resized AI.jfif

Constant Multiple, Sum, and Difference Rules

Constant Multiplef(x) = c·g(x)
Sumf(x) = g(x)
Differencef(x) - g(x)

Constant Multiple Rule

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Example 1

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Sum and Difference Rules

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Example 2

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6 comments
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I need extensive calculus lessons if you ever get the chance. What textbook would you recommend? I need to start from the top.

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The calculus book that I am currently following on my Channel is the Stewart Calculus Early Transcendentals 7th Edition, and I would definitely recommend that book! You can download a copy here: https://1drv.ms/b/s!As32ynv0LoaIiY10LN5fSonL4d97ow?e=YePSK5

You can also search through my older videos on Calculus: https://www.youtube.com/@mes/search?query=calculus

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Thank you very much! I have an extreme workload, so I'm afraid it may not be soon but it's definitely something I want to do. I only made it in school to around grade 9. Since then, I've been in college for a few years but there are definitely huge fundamental gaps that I'm missing and can't seem to pinpoint them.

That said I've cautiously and casually admired your work. I hope to reach out to you for stuff in the near future.

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Sounds good. It's never too late to learn math! Feel free to ask me any questions and wish you the best of luck!

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