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Understanding Derivatives of Logarithmic and Exponential Functions in Calculus

In this lesson, you will learn how to find the derivatives of logarithmic and exponential functions. We will focus on applying the chain rule and memorizing the key formulas necessary for differentiation. You will explore how to compute derivatives using calculators and understand why the derivative of (y = e^x) is itself. This lesson aims to clarify how we can effectively derive functions and emphasizes the significance of the natural logarithm in calculus. Prepare to deepen your understanding of these fundamental mathematical concepts!

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Understanding Derivatives of Logarithmic and Exponential Functions in Calculus

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Presentation Transcript

  1. Objective Calculus In this lesson, you will learn how to find the derivative of logs and exponential functions by remembering the chain rule and memorizing the format.

  2. LEQ: How do we find the Derivatives of Logs and Exponentials ?

  3. Calculus Review 2) On y2, type in nDeriv(y1,x,x) 1) In your calculator, type in y = ex *Notice the derivative of y = ex is itself.

  4. Core Lesson Calculus So, Is this true for 2x ? Thus, we can only use this rule for ex.

  5. Core Lesson Calculus

  6. Core Lesson Calculus

  7. Core Lesson Calculus Derivative of y = ln(x)

  8. Core Lesson Calculus Derivative of y = ln(x)

  9. Tomorrow Calculus Derivative Activity 

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