Derivatives Teacher Resources

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In this calculus activity, students observe graphs and identify the limits of the functions listed in the graph. They determine the definite integrals and derivatives. Students use the trapezoid rule to estimate distance. This five-page activity contains 14 problems.
For 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 maximum area.
In this calculus worksheet, students solve ten multiple-choice questions and eleven free-response questions covering limits, derivatives, and integrals.  Students should have covered trig limits prior to this worksheet.
For this rate equation worksheet, students identify an inflection value for given functions. They determine an expression that stultifies a given rate equation. This three-page worksheet contains definitions, explanations and examples. It provides three multi-step practice problems, with graphs.
Students reflect functions about the X-axis, Y-axis, and origin. They derive equations for reflected functions using the website
In this harmonic function worksheet, students explore harmonic functions and construct a harmonic conjugate. This three-page worksheet contains three problems, with explanations and examples.
In this function of two variables instructional activity, students explore the relationship between the derivatives of a function and the shape of the graph. They determine the maximum and minimum value using optimization. Students find the equation of a vertical slice of an object and sketch a picture of the surface graph. This four-page instructional activity contains eight multi-step functions.
For this function worksheet, students sketch the graph of a nonzero function, estimate the value of an infinite sum, and determine the derivative and slope of functions. This one-page worksheet contains approximately 6 multi-step problems.
In this function worksheet, students use functions to identify an electron traveling along a path. They examine the velocity vector and compute the directional derivative. This two-page worksheet contains six multi-step problems.
Learners research the functions of a cell through using a variety of activities. They are focused on the end result of creating a model of the cell that is labeled with the parts of a cell and how they function.
In this function worksheet, students use various methods to solve functions. They explore the logarithm function, the derivative of an exponential function, and compose a function with a linear equation. This four-page worksheet contains explanations, examples, and four problems.
Students solve equations with combination and functions. In this algebra lesson, students identify and create formulas to a graph and word problem. They perform operation when solving combination of a function.
In this accumulation functions worksheet, students describe the graph of an accumulation function for a constant function. Students describe the link between the slope of the graph of the accumulation function and the value of the function.
Students explore the calculator function of the TI-Nspire.  In this secondary mathematics lesson, students investigate many of the features of the calculator function of the TI-Nspire.  Students review basic computation, square roots, absolute values, exponential functions, logarithmic functions, trigonometric functions, summations and matrices as they explore the TI-Npsire.
Students find the slope and equation of a line. In this algebra lesson plan, students are able to graph lines given a table of values and are able to derive the slope and intercept given an equation. They evaluate coordinate pairs and identify functions.
Students investigate the properties of inverse functions. In this trigonometry lesson, students write trigonometric equations for given functions. They calculate the inverse using properties of sine, cosine and tangent.
In this complex function learning exercise, students examine the properties of integrals of complex functions of a real variable, smooth arcs, and the Jordan Curve Theorem. This two-page learning exercise contains approximately seven equations.
Young scholars identify the six trig values using ratios of a right triangle. In this trigonometry lesson, students graph inverse functions and perform operation using inverse trig values. They identify different properties of trig graphs.
In this function learning exercise, students evaluate problems involving functions, identify the domain and range of functions, and complete inversion mapping. This two-page learning exercise contains approximately twelve problems.
Students engage in a classroom discussion about the shape of a parabola using real world examples. They define and discuss the important vocabulary and the teacher scaffolds by making clarification as necessary. For practice students solve and graph the functions.