Derivatives Teacher Resources

In this trigonometric worksheet, learners 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 worksheet, 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 worksheet contains one hundred problems. ...

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.

Watch this video to discover how trigonometry can give you another way to find area of triangle. By starting with the standard formula for the area of the triangle and the right triangle trigonometric ratio for sine, the instructor...

The Law of Sines is derived in this video by using formula for the area of a triangle that multiplies _ times two adjacent sides and the sine of their included angle.

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.

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

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

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 worksheet, 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. ...

In 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,...

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

Class members view how to derive the formula to integrate by parts with a video that uses the Product Rule from the beginning of AP Calculus to derive the rule to integrate products. The resource shows the...

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...

Learn how to apply L'Hôpital's Rule. Scholars see how properties of limits and L'Hôpital's Rule help determine limits at infinity. They watch the derivation of the limit for one example function.

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, learners 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.

In this math worksheet students find the solution u(x,y) of Laplace's equation in a given rectangle with specified boundaries. Students use the chain rule to compute values for a function and relate this answer to Laplace's equation....

In this interval worksheet, students write a geometric series for the derivatives of a function. Students determine the values of x and where it may converge. This two-page worksheet contains five multi-step problems.

In this math worksheet students use the intermediate value theorem to solve two problems. They find parallel lines that will cut a convex shape into two pieces with equal areas. Students repeat this problem with a concave shape. Students...