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Applications of First and Second Derivatives.
In this calculus worksheet, students solve for the critical values, open intervals and find the maximum and minimum. There are 7 questions dealing with the derivative.
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Derivatives
In this calculus instructional activity, high schoolers take the derivative of functions and identify the instantaneous rata of change. There are 20 questions.
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Proof That One Equals Zero (Using Calculus)
For this proofs worksheet, students evaluate the integral of 1 function. Students use uv-substitution to prove 0=1.
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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 activity, 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 worksheet, 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 this model. ...
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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 worksheet, students identify intervals. They differentiate given functions. This one page worksheet contains seven multi-step problems.
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Sudoku Puzzle with Derivatives
In this Sudoku puzzle worksheet, students use basic derivative formulas, the chain rule and implicit differentiation to solve given problems. This six-page worksheet contains 26 problems. Answers are provided on the last page.
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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 learning exercise, students solve 29 multiple choice problems. Students use their answers to solve a sudoku puzzle.
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Trig Derivative Quiz
In 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
In this exponents worksheet, students rewrite the seven single exponents using the quotient rule.
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Quotient Rule Update
In this exponents worksheet, students rewrite the eight single exponents by using the quotient rule. There is an answer key included.
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The Derivative as a Limit
Students investigate derivatives. In this calculus lesson plan, students investigate the derivative as a limit through the use of the TI-89.
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 the...
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Logistic Growth
Through the exploration of population growth of a bacteria population, high schoolers learn about and observe bacteria population over a 20 hour period. Students graph the population growth using a scatter plot and discuss its logistic...
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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
High schoolers 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...