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Calculus 30 - Typical Exam Questions
In this limits and functions worksheet, students solve 30 short answer questions about calculus Students find limits, domain, range, tangent lines, derivatives, and composition functions.
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Mini Examination #2 - Limits and Derivatives
In this limits and derivatives worksheet, students solve 18 multiple choice and short answer questions. Students find the limits and derivatives of functions.
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Using a "Natural Function" not a equation to discuss derivatives
In this derivative instructional activity, students relate the concept of the derivative to the "real world" model of seasons. Students are then asked to discuss zeros, increasing values, decreasing values, and critical values of...
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Numerical Word Search
In this numerical word search worksheet, students solve ten problems and then search for the solutions in a grid of numbers. A few of the problems require that the student has taken calculus.
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A.P. Calculus - First Semester Examination
For this calculus exam worksheet, students solve 40 multiple choice and short answer problems. Students find derivatives, second derivatives, normal lines, slopes, etc.
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Derivatives
In this derivatives activity, students identify intervals. They differentiate given functions. This one page activity contains seven multi-step problems.
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Sudoku Puzzle with Derivatives
In this Sudoku puzzle instructional activity, students use basic derivative formulas, the chain rule and implicit differentiation to solve given problems. This six-page instructional activity contains 26 problems. Answers are...
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Graphs and Derivatives
In this graphs and derivatives worksheet, students graph the derivative of a function. They find the intervals and identify the maximum and minimum. This one page worksheet contains three multi-step problems.
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Differentiation of Functions
In this differentiation of functions worksheet, students find the first derivative of given functions. Functions contain exponents and square roots. This three page worksheet contains nine multi-step problems.
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Sudoku Puzzle: Logs and Exponentials
In this logarithms and exponential activity, students solve 29 multiple choice problems. Students use their answers to solve a sudoku puzzle.
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Trig Derivative Quiz
For this trigonometry derivative quiz, students find the derivative of given functions. This one-page worksheet contains 10 multiple-step problems. This is a matching worksheet. Answers are found at the bottom of the page.
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Quotient Rule Worksheet
For this exponents worksheet, students rewrite the seven single exponents using the quotient rule.
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Quotient Rule Update
In this exponents worksheet, learners rewrite the eight single exponents by using the quotient rule. There is an answer key included.
Texas Instruments
Confectionery Delight
High schoolers explore the problem of maximizing the volume of a box by making a physical model and observing how changes in the orientation of the paper changes the volume. They use the symbolic capacity of their calculators and...
Texas Instruments
Quartic Regions
Young scholars explore quartic functions in this calculus lesson. They investigate an application of derivatives and definite integrals, then explore the question of which of the "three bumps" of a quartic is the largest.
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Parabolas
Learn how to evaluate the derivatives of polynomials. Mathematicians find the derivative of a quadratic function and determine the value at a given value. Students compare the slope of the secant line through two points with...
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Implicit Differentiation
Pupils explore the concept of derivatives. They use implicit differentiation to determine points on a graph where a tangent line is horizontal, vertical, or oblique. Finally, learners find the derivative of a polynomial by...
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Investigation the Derivatives of Some Common Functions
Students investigate the derivative of a function. In this calculus lesson, students explore the derivatives of sine, cosine, natural log, and natural exponential functions. The lesson promotes the idea of the derivative as a...
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River Optimization Problem
Students define the different methods used for optimizing a particular element of a problem. In this optimization problem lesson, students optimize appropriate details of a problem using data collection, algebra, technology, and/or...
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Differentiating Special Functions
For this differentiating special functions worksheet, students solve and complete 5 various types of problems. First, they differentiate each of the given functions. Then, students complete the table using a calculator and plot the...
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Introduction to Differentiation
In this introduction to differentiation learning exercise, students solve and complete 10 various types of problems. First, they use the definition of differentiation to evaluate the derivative of the functions listed. Then, students...
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More Differentiation
In this differentiation activity, students solve and complete 8 various types of problems. First, they differentiate each of the equations listed. Then, students find an equation of the tangent to the curve at a given point. They also...
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Practice Test: Derivatives
In 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.
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Calculus Assignment: Derivative
For this derivative worksheet, students use the definition of the derivative to solve given function problems. This two-page worksheet contains four multi-step problems. Answers are given on page two of the worksheet.