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Practice Test for Midterm: Partial Derivatives
In this partial derivatives worksheet, 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...
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Maximum and Minimum Points
For this maximum and minimum points worksheet, students solve and complete 12 various types of problems. First, they find the area of the smallest triangle given the point of intersection. Then, students find the volume of a box that has...
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Senior Analysis: Derivatives by Definition
For this derivative worksheet, students find the derivative of given functions. They identify the equation of a line tangent to a specified function. This three-page worksheet contains 22 multi-step problems.
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Senior Analysis: Trig Limits
In this trig limits worksheet, students evaluate the limits of given equations. They use trig derivatives and implicit differentiation to solve given equations. This three-page worksheet contains 27 multi-step problems.
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Calculus Review Worksheet
In this review worksheet, students evaluate given limits. They evaluate graphs. This four-page worksheet contains 27 multi-step problems. Answers are provided on pages three and four.
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Inverse Trig
In this inverse trig learning exercise, students solve and complete 24 various types of problems. First, they evaluate each of the trigonometric inverses shown. Then, students find x and y in each trigonometric derivative. They also find...
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Derivatives
In this derivatives instructional activity, 11th graders solve and complete 2 various types of problems. First, they use the definition of a derivative to find the variable expression shown for each function. Then, students write the...
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More on Least Squares
In this least squares activity, students 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...
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Instantaneous Velocity
In this velocity worksheet, students determine the average and instantaneous velocity. They compute the derivative of given functions. This one-page worksheet contains seven multi-step problems.
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Worksheet 11: Derivative
In this derivative worksheet, students compute the relative maximum, relative minimum and inflection points of a function. They determine the derivative of a function and find the circumference of inscribed circles. This two-page...
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Worksheet 9
In this integration worksheet, students solve 30 short answer (computation) problems. They find the area of regions enclosed by graphs of given functions for one problem. Students solve five short answer problems using derivatives. They...
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ESP Quiz 4
Students solve four short answer (computation) problems by evaluating indefinite integrals. This worksheet is intended to be used as a quiz, but could be used a review.
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The Little Prince and his Pendulum
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. ...
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Challenge Discussion Sheet 4
in this derivative worksheet, students find the derivative for the function w'(t) and tell the meaning of this. They create a sign chart for the derivative of two functions. Students create the graph of the derivative of a function as...
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The Derivative
In this derivative instructional activity, students estimate the derivative of given functions, compute the rate of change at a given point, and simplify the difference quotient. This two-page instructional activity contains...
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Implicit Differentiation
In this implicit differentiation worksheet, 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 worksheet contains...
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The Chain Rule and Applications
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,...
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Trigonometric Examples of Integration by Substitution
For this integration worksheet, students use trigonometric identity and integration by substitution to solve given integrals. This two-page worksheet contains three problems.
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Applications of Derivatives: Finding Maxima and Minima
In this derivative worksheet, students use the second derivative test to determine the maxima and minima of given functions. They explore real life problems to complete the optimization of a problem. This two-page worksheet contains...
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Worksheet 6: Derivative & Slope
In this derivative and slope worksheet, students find the derivative of given equations. They identify the slope of a line tangent to a graph and find the concavity of a graph. This one-page worksheet contains seven multi-step problems.
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Computing Derivatives
In this computing derivatives worksheet, students determine the derivative, slope, and rate of change in a function. They indicate if a function is constant, increasing, or decreasing. This two-page worksheet contains approximately ten...
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The Derivative
In this derivative learning exercise, students estimate the derivative of given functions. They identify the slope, the rate of change find the slope of a parabola. This two-page learning exercise contains definitions, examples and...
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The Derivative As a Function
In this derivative worksheet, students find the derivatives of given functions and graph a function. They identify the intervals which are increasing, decreasing or remain constant. This two-page worksheet contains approximately twenty...
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Quiz 2: Rules of Differentiation
In this differentiation worksheet, students apply the rules of differentiation to solve given problems. This two-page worksheet contains three problems.