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Applying Differentiation

Applying Differentiation. Differentiation Lesson 2 Chapter 7. Applying Differentiation. Last lesson we learned that you can find the gradient of a function by differentiating it. Applying Differentiation.

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Applying Differentiation

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  1. Applying Differentiation Differentiation Lesson 2 Chapter 7

  2. Applying Differentiation • Last lesson we learned that you can find the gradient of a function by differentiating it

  3. Applying Differentiation • This lesson you are going to apply your knowledge of differentiation to be able to find the value of the gradient at any point on a curve

  4. Example 1 • Find the gradient of y = f(x) at the point (½, 0) • Find the coordinates of the point on the graph of y = f(x) where the gradient is 8 • Find the gradient of y = f(x) at the points where the curve meets the line y = 4x – 5

  5. Example • Find the gradient of y = f(x) at the point (½, 0) • Find the coordinates of the point on the graph of y = f(x) where the gradient is 8 • Find the gradient of y = f(x) at the points where the curve meets the line y = 4x – 5

  6. Example • Find the gradient of y = f(x) at the point (½, 0) • Find the coordinates of the point on the graph of y = f(x) where the gradient is 8 • Find the gradient of y = f(x) at the points where the curve meets the line y = 4x – 5

  7. Finding the gradient • Next page • Complete the table. • Find the gradient of each function at the specified point.

  8. Differentiation and Coordinate Geometry • Rewind back to Chapter 5…. • You learned coordinate geometry for this purpose!!!

  9. Question 1 The equation of a curve is Find the gradient of the tangent and of the normal to the curve at the point (-2, 4)

  10. Question 2 Find the coordinates of the points on the curve where the gradient is 4.

  11. Example

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