Despite what you thought, you can differentiate between continuity and differentiability. Using a short lesson, pupils learn how differentiability and continuity relate to each other. It provides three descriptions of when a function is...

Going up? Wait, it might be going down! Learners watch a video to see how to use the derivative and critical points to find where a function is either increasing or decreasing. Individuals use the rate of change to solve real-world...

Find deeper meaning in graphs. Pupils use the knowledge gained from the previous sections in the unit to sketch graphs of a function's derivative. Learners also see how to sketch a graph of a function given the graph of its derivatives....

Let's be discrete about the types of data. A short video provides the definitions of discrete and continuous data. After providing the definitions, the resource takes different types of data and sorts them based on type and provides an...

Differentiating inverse trigonometric functions is quite different from applying the skill inverse functions. Scholars learn how to differentiate inverse trigonometric functions in the fourth of seven video installments in Unit 3 -...

Confirm one's expertise with confirming continuity over an interval. Pupils first review how to determine the domain of a function taking denominators, roots, and logarithms into account. They then connect this concept to continuity in...

Reverse any loss of knowledge on inverse functions. Individuals watch a video to learn about differentiating inverse functions. They memorize the rule, then see how to apply it in finding derivatives and determining equations of tangent...

Uncover what the first and second derivatives reveal about the function. Pupils move beyond sketching graphs to determine what derivatives tell about the function itself. The video reminds learners about particle motion and how to...

Connect integrals with differentiation. The beginning of the video introduces the definition of an accumulation function. Scholars learn about the relationship between integrals and derivatives. Using what is commonly known as Part Two...

It seems like it should be about three. Pupils learn to get an estimate of the derivative of a function at a point by using the derivative functionality of their graphing calculators. They take that information to determine the equation...

Pupils learn how to find the derivative of a function by applying the definition using limits. Learners understand that the derivative provides the slope of the tangent line and use that information to find the equation of the tangent...

Time to take a second look at derivatives finding concavity. While watching the video, learners find out the definition of concavity. Individuals see how to determine whether an interval is concave up or concave down using graphs and the...

Accumulation functions should behave like other functions. Using content from Unit 5, pupils analyze the first and second derivative to determine the behavior of an accumulation function. Learners find out how to calculate the relative...

No need to be exact every time. Pupils watch an engaging video on approximating function values. They see how to write the equation of a tangent line, use it to calculate approximations, and then determine whether it is an overestimate...

Learning about end behavior means it's close to the end of the unit. The 16th of 18 lessons in Unit 1 - Limits and Continuity has scholars watch a video to learn how limits at infinity can be used to determine horizontal asymptotes and...

Absolutely! Find the global maximum and minimums. Pupils watch a video showing how to find the absolute maximums and minimums of a function on an interval by testing critical points. The learners see how to determine whether a critical...

The shortcuts are not just for polynomial functions. Pupils learn the derivatives of the two basic trigonometric functions, cosine and sine. The video provides the derivatives for exponential and logarithmic functions. Learners work...

Continue to differentiate the rest of the trigonometric functions. Pupils see the derivatives of the other four trigonometric functions and begin to memorize the rules. Learners see examples that show that the calculus portion of a...

It's time to put it all together. Viewers of an informative video learn to connect multiple representations of limits. Given algebraic, tabular, and graphical representations of a linear piecewise function, they determine whether a limit...

Infinite limits just got infinitely more interesting. The 15th of 18 installments in Unit 1 - Limits and Continuity looks at infinite limits and vertical asymptotes of rational functions. Scholars review how to determine the locations of...

It's called a removable discontinuity for a reason. After reviewing the conditions for a removable discontinuity to exist, scholars watch an informative video to learn how to remove the discontinuity. They look at several examples...

Taking calculus doesn't mean one can forget all about algebra. Viewers of an educational video learn how to determine limits using algebraic properties. They apply basic operations to calculate limits and use substitution to find one-...

Sometimes a little manipulation goes a long way. The sixth of 18 videos in Unit 1 - Limits and Continuity shows viewers how to use algebraic manipulation to determine limits. They first use substitution and factoring, then apply special...

Acquire expert-level knowledge in the Intermediate Value Theorem. Viewers of an informative video learn about the Intermediate Value Theorem. After learning the definition, they consider several examples where they must apply the theorem...