Chapter 16A.

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Presentation transcript:

Chapter 16A

Please find the y-value when x = 2

Please find the derivative of the following...

Please find the derivative of…

Please find the equation of that tangent line We need the following A point A slope An equation

Please find the equation of that tangent line What is our point? (2, -3)

Please find the equation of that tangent line What is our slope? Our tangent line has a slope of -7

Please find the equation of that tangent line An equation… y = mx + b (2, -3) m = -7 -3 = (-7)(2) + b -3 = -14 + b y = -7x + 11 11 = b

y = -7x + 11 Normal Line

Please find the equation of the NORMAL line We need the following A point A slope An equation

Please find the equation of the NORMAL line We need the following A point (2, -3)

Please find the equation of the NORMAL line We need the following A slope

The slopes have a product of -1. Perpendicular. The slopes have a product of -1.

Please find the equation of the NORMAL line What is our slope? Our NORMAL line has a slope of 1/7

Please find the equation of that tangent line An equation… y = mx + b (2, -3)

y = -7x + 11

Find equation of the line normal to f(x) at (a, b) When you see… Find equation of the line normal to f(x) at (a, b) You think…

Equation of the normal line

Homework Page 387 1 – 11 (Skip #9)