Differentiable or not, that is the question. An informational website gives two theorems on the differentiability of piecewise functions at their endpoints. It goes on to apply the theorems to present two solution methods to a past AP®...

Learners create a word tree poster that illustrates the way a root word can serve as the basis for many related terms. Although designed for a Latin language class, the concepts here could be used with any class study of Latin or Greek...

In this algebra skills worksheet, students solve/simplify 20 short answer problems. Students solve/simplify quadratic, absolute value, exponential, logarithmic, trigonometric, and radical equations/expressions.

In this exponents worksheet, students rewrite the seven single exponents using the quotient rule.

In this exponents worksheet, students rewrite the eight single exponents by using the quotient rule. There is an answer key included.

Young scholars define the different methods used for optimizing a particular element of a problem. For this optimization problem lesson, students optimize appropriate details of a problem using data collection, algebra, technology,...

For this derivatives worksheet, students identify the partial derivatives of a function, find the rate of change, and determine the maximum and minimum values of a function. This one-page worksheet contains 6 multi-step problems.

Students explore the definition and derivation of the popular saying "get a life." Using worksheets and lecture materials, students provide meanings for the phrase when used in varying contexts. They also consider the dervation of each...

Students probe the impact of Greek and Latin on the English language in this ten lesson unit. Root words are analyzed for their origins and displayed on a word wall. Inventions are created using the words and placed in a class museum.

In this calculus activity, students are provided with a translation of a scene from the Simpsons in which the teacher solves a calculus problem.  Students explain if her solution is correct. The one page...

In this Exponents and the Quotient Rule worksheet, students follow the example given to solve 7 multiplication and division of exponents problems.

in this quotient rule worksheet, students use the quotient rule to write the problems given as single exponents. Students complete 8 problems.

In this partial derivatives activity, students use Lagrange multipliers to find the maximum and minimum values of a given function. They find an equation of the tangent plane under given conditions and identify the second partial...

In this least squares worksheet, learners solve 3 different problems that include determining the least squares of equations. First, they use the data given in the table to write out the normal equations a system of 2 equations in 2...

In this derivative worksheet, students estimate the derivative of given functions, compute the rate of change at a given point, and simplify the difference quotient. This two-page worksheet contains definitions, examples, and five...

In this implicit differentiation learning exercise, students use the chain rule to solve for the derivative. The find the equation for the tangent line at a given point and determine if the line is vertical. This two-page learning...

In this chain rule worksheet, students use the chain rule to differentiate compositions, and determine the value of the limits. They give reasons justifying each step of the chain theorem. This six-page worksheet contains theorems,...

In this derivative worksheet, students find the derivative of given functions and find the equation of a tangent line to a curve. They differentiate functions and work velocity and acceleration functions. This two-page worksheet...

In this function learning exercise, students compute the derivative of given functions. They find the equation of a tangent line to a curve and compute the implicit differentiation. This two-page learning exercise contains six problems.

Online notes with examples and solutions.

Online notes with examples and solutions.

This activity will define procedures for computing instantaneous rates of change exactly and, when exact is impossible or impractical, approximately. (Continued. See "before the activity.")