Derivative Rules - Constant Multiple, Sum, and Difference Rules

in MES Science4 months ago (edited)

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


Example 1


Sum and Difference Rules


Example 2




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

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:!As32ynv0LoaIiY10LN5fSonL4d97ow?e=YePSK5

You can also search through my older videos on Calculus:

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.

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

Thank you so much!
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