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Inverse Trig
In this inverse trig activity, 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 the...
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Derivatives
In this derivatives worksheet, 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 equation of the...
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More on Least Squares
In this least squares worksheet, 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
For 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 worksheet, students estimate the derivative of given functions, compute the rate of change at a given point, and simplify the difference quotient. This two-page worksheet contains definitions, examples, and five...
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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
In 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
For 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...
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The Derivative
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
In this derivative instructional activity, 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 instructional activity...
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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.
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Derivatives of Elementary Functions
In this derivatives worksheet, students sketch the graphs of four functions. They write the derivatives of eight functions. Students complete two derivative tables.
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The Product and Quotient Rules
In this derivatives activity, students solve nine short answer problems by multiplying or dividing with derivatives. They answer one true/false question. Students solve five short answer questions.
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Applications of Derivatives: Concavity and Optimization
In this derivatives worksheet, students sketch the graph of a function by determining the local maxima, minima and inflection points. They graph a second function when given the interval. Students solve two word problems involving...
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The Geometric Interpretation of Partial Derivatives
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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Implicit Differentiation
In this implicit differentiation worksheet, students solve problems using the chain rule and implicit differentiation. They explain the differences between the chain rule and the implicit differentiation. This two-page worksheet...