Find:

: Tangent Lines and Derivatives. 1. x + y = 9 a) Find dy b) Evaluate at (5,-2) dx c) Draw the tangent line at (5,-2) y = f) Find Simplify your answer completely. Step 1: Use the quotient rule to find 2 # d) Write the equation of the tangent line at (5,-2): Step 2: Substitute the expression found in (a) for. Then simplify. 1 -2 -1 0 -1 e) Does the tangent line lie above or below the graph at (5,-2)? Step 3: Substitute in the original equation where appropriate. 1 dy Is positive or dx negative at (5,-2)?