PPT-Determining secant slope and tangent slope.

Slope is the rate of change or Secant slope the slope between two points tangent slope the slope at one point of contact and is based upon a limit Noun derivative Verb differentiation or to. Notation dx dx y 00 f 00 Thus dx dx dy dx Example Find the second derivatives of the following functions a 2 x y 00 2 b y 00 c 5 4 5 y 00 The 64257rst derivative gives information about whether a funct ion increases or decreases In fact A d Learning Goals:. Graphs of the Cosecant, Secant, and Cotangent Functions. Graph transformations . When you think about the . csc. , sec, and cot graphs what do you think about?. Graph of the Cosecant Function. Tangent Lines. Average Rate of Change. The . average rate of change. of a quantity over a period of time is the slope on that interval of time.. Ex.:. . Find the average rate of change of . f(x) = x. Section 3.2a. A function will not have a derivative at a point . P . (. a. , . f. (. a. )) where. the slopes of the secant lines,. How . f. (. a. ) Might Fail to Exist. f. ail to approach a limit as . Secant and Tangent. Interior angle = ½ intercepted arc. Two Secants:. Interior angle = ½ (sum of intercepted arcs). Two Secants. Exterior angle = ½ (far arc – close arc). Two Tangents. Exterior angle = ½ (far arc – close arc). When given any number, there are rules that can be followed to determine how many digits within that number are “precision” digits, also known as Significant Figures.. Determining Sig Figs. Let’s look at the 5 rules of Sig Figs:. RULE 1. If two chords intersect in a circle, the product of the lengths of the segments of one chord equal the product of the segments of the other. Explanation for Rule 1:. Intersecting Chords Rule:. Find the equations of tangents at given points. Find the points on the curve if tangent slope is known. Find equations of tangents . parallel. to given lines through a given point.. Find equations of tangents . Math 200. Goals. Be able to compute an equation of the tangent plane at a point on the surface z = f(x,y).. Given an implicitly defined level surface F(x,y,z) = k, be able to compute an equation of the tangent plane at a point on the surface.. Chapter 10. This Slideshow was developed to accompany the textbook. Larson Geometry. By Larson. , R., Boswell, L., . Kanold. , T. D., & Stiff, L. . 2011 . Holt . McDougal. Some examples and diagrams are taken from the textbook.. Learning Target: . I can review properties of angles and segments in circles to determine their measure and length.. Agenda:. Do Now. Embedded Assessment Self-Assess. Circles Properties Review. Independent Practice. With . Jim . Paradise. Objectives for Today. Our objective for today is not to teach you…. Algebra, . Geometry, . Trigonometry, and . Calculus, . but rather to give you a sound understanding of what each of these are and how, and why, they are used. . . . as .  . Secant Line and Tangent Line. Slope of secant line . Slope of tangent line as .  . is.  . the derivative of . at . t. he instantaneous rate of change of . at . The set of all points in a plane that are equidistant An angle whose vertex is the is 15 16 A radius drawn to a tangent at the point of 17 exterior point to a circle are congruent 18 In