Derivatives Teacher Resources
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Twelfth graders investigate the capabilities of the TI-89. In this calculus lesson, 12th graders explore the parametric equation for a circle, for arc length of curves, and for trajectories. Students investigate the symbolic and graphical representation of vectors. Students use polar functions of investigate the area bounded by a curve. Students investigate a 3D graphing application.
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 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.
In this calculus learning exercise, 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 learning exercise contains 14 problems.
In 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 www.explorelearning.com.
In this function of two variables worksheet, 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 worksheet contains eight multi-step functions.
In this harmonic function learning exercise, students explore harmonic functions and construct a harmonic conjugate. This three-page learning exercise contains three problems, with explanations and examples.
In 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 evaluate problems involving functions, identify the domain and range of functions, and complete inversion mapping. This two-page worksheet contains approximately twelve problems.
Sal defines the product rule and then shows two examples of how it is used. He then shows an example of finding the derivative by using both the chain rule and product rule together.
Using the derivative of ln x, the chain rule, and the definition of a limit, Sal shows a proof that derivative of ex = ex. Note: The video titled ï¿½Proof of Derivatives of Ln(x) and e^x,ï¿½ has a clearer explanation of this proof.
Students 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.
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.
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.
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.
Students find the slope and equation of a line. In this algebra lesson, 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.
Students 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.