1. Warm up Problems 1. 2. 3.

2. After correcting the homework, we will be taking Derivative Quiz #2.

4. Implicit Differentiation Ex. So far, all problems have been y = f (x) What if xs and ys are mixed together?

5. Ex. If cos x + y 2 – y = x, find. Steps for Implicit Differentiation Derivative of x-function is the same as usual. Derivative of y-function gets. If xs and ys mixed, use product rule. Solve for.

6. Ex. If cos x + y 2 – y = x, find.

7. Ex.

8. Pract.

9. Ex. Find the slope of the line tangent to y = x + cos(xy) at the point where x = 0.

10. Ex. If cos x + y 2 – y = x, find.

11. Ex. Find the coordinates of any point on x 2 + y 2 = 16 where the tangent line has the slope of -1.