Real Solutions to Exponential Equation Using First Derivative Test

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Duration: 10:55
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Real Solutions to Exponential Equation Using First Derivative Test

In this video, we'll walk you through the process of finding real solutions to exponential equations using the first derivative test and graph theory. We'll start by reviewing the basics of exponential equations, including how to identify the base and exponent with identities. Then, we'll understand the first derivative test, second derivative test with graphical analysis and show you how to use it to find real solutions. We'll provide step by step explanation to help you master this important concept in calculus. By the end of this video, you'll have a solid understanding of how to find real solutions to exponential equations using Calculus parameters and be well on your way to acing your calculus exams.

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Time Stamps:

0:00 Introduction
0:40 Exponential identities
3:04 Function
3:22 Derivatives
3:46 Critical points
5:46 Second derivative test
7:30 Limits at minus infinity
8:18 y-intercepts
9:20 Monotonicity
10:10 Graphical analysis

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