1 / 20

Equation of the Tangent Line to the Curve y = 2sin(x) at x = π/3

To find the equation of the tangent line to the graph of y = 2sin(x) at the point where x = π/3, we need to first calculate the derivative of the function. This derivative represents the slope of the tangent line. After finding the slope, we evaluate the function at x = π/3 to find the corresponding y-coordinate. Finally, using the point-slope form of a line, we can derive the equation of the tangent line. This process involves using the product and quotient rules for differentiation, particularly relevant in calculus.

enoch
Télécharger la présentation

Equation of the Tangent Line to the Curve y = 2sin(x) at x = π/3

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Warm Up Write an equation of the tangent line to the graph of y = 2sinx at the point where x = π/3.

  2. Homework Answers

  3. The Product and Quotient Rules for Differentiation

  4. Let’s start with the Product Rule… Derivative of the first Leave the first alone Derivative of the second Leave the second alone

  5. Examples…Find the derivative, f’(x)

  6. Examples…Find the derivative, f’(x)

  7. Examples…Find the derivative, f’(x)

  8. Examples…Find the derivative, f’(x)

  9. Examples…Find the derivative, y’

  10. The Quotient Rule “low d high minus high d low over low low”

  11. Examples…Find the derivative, f’(x)

  12. Examples…Find the derivative, P’(t)

  13. Examples…Find the derivative, dy/dx

  14. Use the quotient rule to derive the formula for the derivative of y = tan(x) Use the quotient rule to derive the formula for the derivative of y = cot(x)

  15. Use the quotient rule to derive the formula for the derivative of y = csc(x) Use the quotient rule to derive the formula for the derivative of y = sec(x)

  16. Examples…Find the derivative, f’(x)

  17. Examples…Find the derivative, f’(x)

  18. QUIZ MONDAY Homework worksheet (pg 124 – 125) #s 5, 6, 8, 15, 25, 35, 39, 43, 45, 50, 53, 62, 63, 66, 67

More Related