Derivatives of Exponential Function Teacher Resources

Go beyond the basics with exponential functions. Using a function that contains an exponential function, the video shows the steps involved in finding its derivative. The 20th installment in a series of 31 uses an example with the...

What does an exponential pattern look like in real life? After viewing a video of the population growth of bacteria, learners use the real-life scenario to collect data and graph the result. Their conclusion should be a new type of...

In this exponential functions activity, students solve 7 exponential function problems.  Students find the integral and derivatives of various exponential expressions.

Introducing inverse functions! The 20th installment of a 35-part lesson encourages scholars to learn the definition of inverse functions and how to find them. The lesson considers all types of functions, not just exponential and...

See why exponential functions are special. Viewers learn how the derivatives of exponential functions are proportional to their original functions. They see that e^x is a special case where the constant of proportionality is one. 

Transform your lesson on transformations. Scholars investigate transformations, with particular emphasis on translations and dilations of the graphs of logarithmic and exponential functions. As part of this investigation, they examine...

These aren't models made of clay. Young mathematicians model given population data using exponential functions. They consider different models and choose the best one.

Graphing by hand does have its advantages. The 19th installment of a 35-part module prompts pupils to use skills from previous lessons to graph exponential and logarithmic functions. They reflect each function type over a diagonal line...

Making connections between a function, table, graph, and context is an essential skill in mathematics. Focused on comparing linear and exponential relationships in all these aspects, this resource equips pupils to recognize and interpret...

Ready to apply the concepts related to the natural exponential equations and logarithmic equations? A math lesson reviews concepts from inverse properties to solving to derivatives and integrals. 

Work on the chain gang. The 11th installment in a series of 31 demonstrates how the chain rule and the quotient rule work together to find a derivative. Using a trigonometric function of a quotient involving exponentials as an example,...

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...

As part of an investigation of transformations of exponential functions, class members use Newton's Law of Cooling as an exponential model to determine temperature based on varying aspects. The resource makes comparisons between...

In this differentiation quiz worksheet, students solve 10 short answer problems. Students differentiate rational equations, trig functions, exponential models, higher order polynomials, etc.

Students investigate different concepts during a review that relate to logarithms and exponential functions. They review the derivatives of logs and exponential functions with the help of the problems used in the lesson as examples.

The Function That Shall Not Be Named? The eighth installment of a 35-part module uses a WhatPower function to introduce scholars to the concept of a logarithmic function without actually naming the function. Once pupils are...

Extend pupil understanding of derivatives and tangent lines. The problem presented asks individuals to find the points on a graph that have a tangent line parallel to a given line. The instructor shows how to use the concept of a...

Connect geometric sequences to exponential functions. The 26th installment of a 35-part module has scholars model situations using geometric sequences. Writing recursive and explicit formulas allow scholars to solve problems in context.

Use this trick to find the derivative of x raised to the x power. The video shows how to find a complicated derivative by rewriting the function using properties of logarithms. After rewriting the function, the derivative is simply...

Students take derivatives of exponential functions.  In this taking derivatives of exponential functions lesson, students prove the derivative of an exponential function is the exponential function.  Students find derivatives...

Does a linear or exponential model fit the data better? Guide your class through an exploration to answer this question. Pupils create an exponential and linear model for a data set and draw conclusions, based on predictions and the...