In this college level calculus worksheet, students evaluate the given limits or show that the limit does not exist.  Students determine the derivative of the given functions.  The two page worksheet contains twenty-six...

  Students test for relative extrema.  In this Calculus lesson, 12th graders investigate the relative extrema of a function and sketch the curve from the given information without the use of a calculator.  

In this college level Calculus activity, students find the derivative of the given function and find the rate of change of the area of a circle with respect to its circumference.  The two page activity contains seven problems. ...

In this derivatives worksheet, students solve 6 short answer problems. The first three problems, ask students to use a given definition of a derivative to solve the problems. The final three problems ask students use the basic...

In this calculus worksheet, 12th graders differentiate and integrate basic trigonometric functions, calculate rates of change, and integrate by substitution and by parts.  The twenty-two page worksheet contains explanation of the...

In this multivariable optimization learning exercise, students determine the local maximum and local minimum of given functions. They identify the critical points for given function and match contour plots to the proper functions. This...

In this multivariable chain rule worksheet, students find the derivative of four multivariable functions. They make the change of variables when given the functions.

In this trigonometric worksheet, pupils solve integrals by substitution and the Pythagorean theorem. Students use their trigonometric functions to solve problems. This four-page worksheet contains 20 problems.

In this Calculus instructional activity, students use a graphing calculator to boost their understanding of functions and their graphs as they examine the properties of curves.  The forty-two page instructional activity contains one...

Students solve limit problems.   In this solving limit problems lesson, students use L'Hopital's Rule.  Students apply L'Hopital's Rule to functions as long as the derivative of the top function and bottom function is...

In this Cauchy-Riemann equation worksheet, students derive the Cauchy-Riemann equations by using the definition of the derivative function. This two-page worksheet contains seven problems.

Students explore functions. In this derivatives lesson students complete an attached worksheet. A formula sheet for derivatives is included. This lesson is designed as a review for the derivatives test.

Students differentiate functions.  In this differentiating functions lesson, students use the quotient rule to differentiate functions.  Students use the quotient rule to differentiate rational functions such as a quadratic...

Students engage in a lesson that is concerned with the measurement of distance, velocity, and acceleration with the use of derivatives. They follow examples given in the lesson to compute the velocity and acceleration for a displacement...

Students discuss compound interest and formulas for compound interest. They listen as the teacher describes continuous compounding and derivations. Students work problems involving compound interest. They compute the effective annual...

In this trigonometric functions instructional activity, students differentiate inverse trigonometric functions using the chain rule. There are 15 questions.

In this function worksheet, students read a fairy tale about a prince on a tiny planet. They explore the length of a pendulum and gravitational acceleration. Students use the multi-variable change rule to compute the rate of change. ...

For this gradient worksheet, students explore the definition of differentiable and gradient. They find the tangent approximation of given situations, and determine the directional derivative. This two-page worksheet contains examples,...

In this trigonometry worksheet, students find the range of each trigonometric function using the derivative. There are 3 questions with an answer key.

This well organized poster shows a step-by-step algebraic proof and related graphic. Understanding how formulas were derived, connects learners to the idea that the study of mathematics is continuous and cumulative. Learners will...

Learners use the sum angle formula for sine to derive the sum and difference formulas for cosine and tangent. The level of difficulty is quite high. Learners must be familiar with trigonometric identities as well as the characteristics...

In this calculus worksheet, students perform implicit differentiation to take the derivative. They solve function explicitly of x. They differentiate between implicitly and explicitly. There are 16 problems with an answer key.

In this points of discontinuity worksheet, students observe graphs and label them as points of discontinuity and non-differentiability. They identify the derivatives of functions. This one-page worksheet contains five multi-step problems.

In 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.