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Derivative Exam

For Students 10th - 12th
In this derivatives worksheet, students find the first derivative of 30 equations. Formulas begin with f(x)=-5 and progress in difficulty through the exam.
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Worksheet
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Seven Derivative Problems

For Students 12th - Higher Ed
In this derivatives worksheet students calculate the derivative for five functions and two application problems.  These problems include rational functions and functions with rational exponents.
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Derivative Formulas

For Students 10th - 12th
In this derivative formulas worksheet, students solve derivative problems. They use derivative formulas to solve problems. This one page worksheet contains twenty-eight multi-step problems.
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Worksheet
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Derivatives of Composite Functions

For Students 11th - Higher Ed
In this derivatives of composite functions worksheet learners examine given functions and identify the derivative of the composite function. This one-page worksheet contains 1 multi-step problems.
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Practice Test for Midterm: Partial Derivatives

For Students 10th - 12th
In this partial derivatives activity, 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 Students 11th - 12th
In 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 Students 11th - Higher Ed
In this derivative activity, students find the derivative of given functions. They identify the equation of a line tangent to a specified function. This three-page activity contains 22 multi-step problems.
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Senior Analysis: Trig Limits

For Students 11th - Higher Ed
For 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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Worksheet
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Calculus Review Worksheet

For Students 11th - Higher Ed
For 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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Instantaneous Velocity

For Students 12th - Higher Ed
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

For Students 12th - Higher Ed
For 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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The Derivative

For Students Higher Ed
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

For Students Higher Ed
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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Applications of Derivatives: Finding Maxima and Minima

For Students Higher Ed
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

For Students Higher Ed
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

For Students Higher Ed
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

For Students Higher Ed
In this derivative worksheet, students estimate the derivative of given functions. They identify the slope, the rate of change find the slope of a parabola. This two-page worksheet contains definitions, examples and five problems,
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The Derivative As a Function

For Students Higher Ed
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

For Students Higher Ed
In this differentiation worksheet, students apply the rules of differentiation to solve given problems. This two-page worksheet contains three problems.
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The Geometric Interpretation of Partial Derivatives

For Students Higher Ed
In this partial derivative worksheet, students compute partial derivatives at a given point. They measure the slope tangent to the surface at the point. This one-page worksheet contains two multi-step problems.
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Worksheet
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The Second Derivative Test for Relative Extreme in Three Dimensional Space

For Students Higher Ed
In this second derivative worksheet, students determine the relative maximum and minimum values of given surfaces in three-dimensional space. They perform the second derivative test, and identify the partial derivatives. This one-page...
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Applications of Derivatives: Newton's Method

For Students Higher Ed
In this derivative worksheet, students use Newton's Method for finding the roots of a function. They identify the local extrema and discuss ways in which Newton's Method can fail. This one-page worksheet contains four problems.
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Quiz 4: Derivative

For Students Higher Ed
In this derivative worksheet, students determine the derivative of given functions. They find an equation of a line which is tangent to a given graph and identify an equation of a line which is perpendicular to the graph. This two-page...
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Application of Differentiation: Optimization

For Students Higher Ed
In this optimization worksheet, students complete a table identifying the characteristics of a function and it's derivative and provide an illustration of each type of function. Afterward, they use the first derivative test for finding...