1. Warm-up 9/8 Graph.

4. Be seated before the bell rings DESK homework Warm-up (in your notes) Agenda : warm-up go over test Notes lesson 2.5 Implicit Differentiation

5. Notebook Table of content Page 1 Learning Target 1 6) 2.1 The Derivative 7)2.2 The power rule 8) 2.3 The Product Rule/quotient rule 9)2.4 chain rule 10) Differentiability 11) Implicit differentiation LT1: Find the derivative of a function defined implicitly HW: p 146; 1,5,9,11,15,25,26,2 8,29,45,47,51,57,65,69

6. 2.5 Implicit Differentiation Slope – The derivative Type of equation Explicit Equation Question :Tangent line to equation at x =2 ?

7. Implicit : 1) Does it have slope ? Yes, not at all places 2) What is the tangent line at x = 3 ?

9. Find the derivative. Other possible solutions Steps to implicit differentiate 1)Take the derivative with respect to x 2)Collect y’ to one side and all other stuff to other side. 3)Factor y’ 4)Divide by the part that does not have y’.

10. Find the derivative. Other possible solutions

11. Find the derivative. Other possible solutions

12. Find the 2 nd derivative. We already know the 1 st derivative. Substitute the 1 st derv. In. Simplify

13. Find the 2 nd derivative.

14. Solution: