Differentiability and Linear Approximation

In this differentiable function worksheet, pupils identify differentiable functions and calculate the derivative of a function. This two-page worksheet contains eight multi-step problems.

In this math worksheet, learners answer 7 questions having to do with graphing derivatives of functions, rectilinear motion, speed and distance.

You can learn to graph as well as a calculator using calculus. The lesson introduces using derivatives to find critical points needed to graph polynomials. Pupils learn to find local maximums and minimums and intervals of increase...

In this math worksheet, learners answer 6 questions having to do with continuous and differentiable functions, falling bodies, and derivatives.

Build a function from pieces of other functions. Learners observe how to write a piecewise function from its graph with an instructive video. The video uses all notation and vocabulary related to piecewise functions, as well as...

Sal defines the term derivative by taking the listener on a well-organized tour of the slope. First, he reviews the concept of the slope of a line from algebra, then extends this idea to look at the slope of the curve by first examining...

By defining the formal definition of a derivative, f(x), Sal can 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.

Sal continues where he left off with the last video, "Derivatives 1, Ó by looking at the equation y = x^2 and examining the slope of the second line at a specific point, and again defining the limit as x approaches zero to get the slope...

So, exactly, what does it look like? The easily usable graphing calculator allows pupils to visualize the graph of equations and inequalities. The interactive supports any algebraic graph needed for high school mathematics and then some.

They say a graph is worth a thousand points. The interactive allows users to graph a wide variety of functions and equations. Using the included keyboard or typing directly into the list, learners determine the graph of a function....