Differentiation. Coming back to a calculus classic this week--the derivative! I feel like calculus helps my mind to feel nice. 😌
To solve this week's problem in completion, you need to recall the following math skills:
✔️ How to find the derivative of a polynomial
WMP! #51 says...
Happy solving!
Check back on Friday, May 28th for the solution, which will be posted below ⬇️.
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✏️📓 Solution Time! 📓✏️
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We've been asked to find the derivative of a polynomial written in product form. This lends itself very easily to the product rule for differentiation. (Also, this is the way to do it because, expanding the polynomial is too time consuming. 😩) This requires us to identify the factors of the polynomial so that we can tag them accordingly. The formula below has f and g in it but, other identifiers can be used. After identifying the factors, I find the derivative for each one, then plug in all components into the formula.
As soon as you complete the substitution, you have found the derivative. The remaining work that's done is for simplification and better presentation of the derivative.
▪️ Were you able to find the derivative??
▪️ Let me know what you thought about this week's problem in the comments section.
Thanks for solving with me this week!
Up next, WMP! #51. 👍🏿
Cheers!
The Younge Lady
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