Worksheet 6: Functions

Sal spends most of this video explaining the Mean Value Theorem in a very intuitive way. He follows this with a concrete example of finding the value of a function on a closed interval where the slope is the same as the average slope of...

There's more to derivatives of multiplication than simply the product of the derivatives. A helpful video gives learners the product rule of finding the derivative of the product of two functions. Pupils find the derivatives of functions...

Sal defines the product rule and then shows two examples of its use. He then shows an example of finding the derivative using the chain and product rules together.

We add numbers, so why not functions? A math video explains the process of combining functions using addition, subtraction, multiplication, and division. The instructor then finds the domain for each new function. 

Find the derivative of a complex function involving two factors. The video presents a function involving the product of two complex binomials. Using the product rule, the presenter highlights the two factors and their representations...

Find shortcuts to finding derivatives. The resource introduces the power rule for finding the derivatives of polynomial functions. The fourth video in a series of 31 starts by applying the rule to monomials and then shows how to combine...

You'd think that the derivative of a product of two functions would be the product of their derivatives, but that's not the case! Viewers learn the Product Rule for differentiation in the concept video in the first installment of a...

Investigate the Remainder Theorem in this algebra instructional activity. Explore the relationship between the remainders of polynomial division and the function. Each of the four problems gets progressively more complicated. This might...

For this calculus worksheet, students solve problems using differentiation and the chain rules. They take the derivatives of equations using specific equations. There are 21 problems with an answer key.

Section 9 of the 12 linked Saxon Math sections introduces the young algebrist to graphing periodic functions, creating graphs from quadratic roots, working with inequalities, and rational equations. Common among all the lessons is the...