Derivatives Teacher Resources
Find Derivatives educational ideas and activities
Showing 1 - 20 of 1,977 resources
Graph And Their Derived Function
Students analyze graphs and determine their general shape. In this calculus lesson, students solve functions by taking the derivative, sketch tangent lines and estimate the slope of the line using the derivative. They graph and analyze their answers.
10th - 12th Math 4 Views 25 Downloads
In this derivative functions worksheet, learners solve and complete 17 various types of problems. First, they find the slope of the tangent line at a given point. Then, students find the derivative of the given functions. In addition, they find the value of the derivative of the given function at the indicate point.
11th - 12th Math 3 Views 5 Downloads
Calculus: Derivatives 2.5 (new HD version)
By defining the formal definition of a derivative, fï¿½(x), Sal is able to find the general form of the derivate function for the example f(x) = x2. He continues to stress the importance of an intuitive understanding of derivative functions.
11 mins 11th - Higher Ed Math 3 Views 0 Downloads
Calculus: Derivatives 2
Sal continues where he left off with the last video, ï¿½Derivatives 1,ï¿½ by looking at the equation y = x2 and examining the slope of the secant line at a specific point, and again defining the limit as _x approaches zero to get the slope of the tangent line (derivative to the curve) at a specific point.
10 mins 11th - Higher Ed Math 3 Views 0 Downloads
Applications of Derivatives: Finding Maxima and Minima
In this derivatives activity, students complete a function chart by telling the type of function, the derivative, and making an illustration of the concept. They find the intervals at which a given function is increasing or decreasing. Students find the relative extrema and draw a graph of one function.
Higher Ed Math 3 Views 2 Downloads
In this functions worksheet, learners solve and complete 11 different types of problems. First, they find the coordinates of all points on the graph of each equation where the tangents to the graph are horizontal. Then, students write the equation of line tangent to each of the equations at the indicated point.
12th - Higher Ed Math 3 Views 12 Downloads
Graphs of Functions and Their Derivatives
Students practice the concept of graphing associated to a function with its derivative. They define the concepts of increasing and decreasing function behavior and explore graphical and symbolic designs to show why the derivative can be used as an indicator for the behavior.
9th - 12th Math 3 Views 29 Downloads
Learners graph functions and their inverse. For this graphing functions and their inverse lesson, students plot a point and its' image. Learners plot the exponential and logarithm functions. Students find the slope of the function and its inverse by taking the derivative.
11th - 12th Math 3 Views 10 Downloads
Functions and Derivatives
Young scholars derive functions given a limit. In this calculus lesson plan, student define the derivative of f at x=a, knowing the derivative is a point or just a number. This assignment requires students to work independently as much as possible.
11th - 12th Math 3 Views 21 Downloads
Students follow detailed directions to illustrate Rolle's Theorem on their graphing calculator. In this application of derivatives worksheet, students input a given function into their graphing calculator and graph it. They then calculate and graph the derivative of the original function.
10th - 12th Math 3 Views 5 Downloads
In the first example, instead of actually using the quotient rule, Sal rewrites the denominator as a negative exponent and uses the product rule. In subsequent examples, Sal shows, but does not prove, the derivative of several interesting functions including ex, ln x, sin x, cos x, and tan x.
10 mins 11th - Higher Ed Math 3 Views 0 Downloads
Calculus: Derivatives 3
This video covers the differential notation dy/dx and generalizes the rule for finding the derivative of any polynomial. It also extends the notion of the derivatives covered in the Khan Academy videos, ï¿½Calculus Derivatives 2ï¿½ and ï¿½Calculus Derivatives 2.
10 mins 11th - Higher Ed Math 4 Views 2 Downloads
Proofs of Derivatives of Ln(x) and e6x
In this video, Sal takes on the challenge of proving both the derivative of ln x = 1/x and of ex = ex, showing that no circular logic is used in the proof. It contains a clearer version of both proofs shown in the videos titled, _Proof d/dx e^x = e^x” and _Proof: d/dx (ln x) = 1/x.
12 mins 11th - Higher Ed Math 3 Views 0 Downloads
Calculus: Derivatives 1 (new HD version)
Sal defines the term derivative by taking the listener on a well-organized tour of slope. First, he reviews the concept of slope of a line from algebra, then extends this idea to look at the slope of the curve by first examining a secant line to the curve and then using our knowledge of limits, defining the limit as _x approaches zero to get the slope of the tangent line to the curve.
16 mins 11th - Higher Ed Math 3 Views 1 Download