Weekly Math Problem #57

Derivative. Derivatives are so versatile! I couldn't believe the various ways derivatives were used in Calculus 1. When we got to a "new" topic in the course, it was the same derivative in a new light. It was quite interesting to me. Once you learn how to find a derivative, you that for the majority of the course. This did involved lots of word problems, especially when it came its various types of applications. 😩 Luckily for us, this week's problem isn't that kind of word problem. 

To solve this week's problem in completion, you need to recall the following math skills:

        ✔️     Derivative rules
        ✔️     Substitution and evaluation
        

WMP! #57 says the following:

Happy solving!

Check back on Friday, October 1st for the solution, which will be posted below ⬇️.

Shameless 🔌 Plug: Follow me on Instagram @TheYoungeLady
Buy Me a ☕️ Coffee: TheYoungeLady ( I'm gonna need it this year. 😆 )

✏️📓 Solution Time! 📓✏️

⬇️

⬇️

⬇️

⬇️

⬇️

And we're back to look at the solution to this week's problem!

The function we've been given is a rational function, and the quotient rule for derivatives is needed to find its derivative. The cool thing about this problem is that we do not need to know what f(x) or g(x) are equal to, to find the solution. 😉

First, let's find get the derivative of h(x): 

Now that we have the derivative of h(x), we can use the given information to see what h'(2) is:

That's all folks! Without knowing what what f(x) and g(x) are, we're able to figure out what h'(2) is. Nice. 😎

▪️ How did you solve this problem??

▪️ Did you get the same answer??

▪️ 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! #58. 👩🏿‍🏫

Cheers!

The Younge Lady