From the course: Complete Guide to Calculus Foundations for Data Science
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Polynomial and rational derivatives
From the course: Complete Guide to Calculus Foundations for Data Science
Polynomial and rational derivatives
- [Instructor] In this chapter, you'll explore many common derivatives. These derivatives will be drawn from many of the functions you learned about earlier in this course. Let's start off with derivatives for polynomial and rational functions. Both of these types of derivatives are fairly easy to work with once you are familiar with the differentiation rules you learned about previously. For polynomial functions, you just need to work with the constant, constant multiple, sum, difference, and power rules. For rational functions, you need to work with the quotient, constant, constant multiple, sum, difference, and power rules. You'll notice the main difference for the rational functions is just using the quotient rule as well. Let's look an example of a polynomial derivative. Let's get the derivative of the polynomial function, f of x equal to 2 multiplied by x to the 7th, plus 9 multiplied by x to the 3rd, minus 6 multiplied by x. You'll notice this polynomial function will require…
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