40 likes | 271 Views
Instantaneous ROC. Slope of a Curve at a Given Point. Slope of a Curve. Read pages 89 thru 92 for Slope of a Curve Normal to a Curve Finding the Instantaneous Rate of Change The slope of the tangent line at a point P( a,f (a)) on the function, f , specifically. Monday.
E N D
Instantaneous ROC Slope of a Curve at a Given Point
Slope of a Curve • Read pages 89 thru 92 for • Slope of a Curve • Normal to a Curve • Finding the Instantaneous Rate of Change • The slopeof the tangent line at a point P(a,f(a)) on the function, f , specifically Monday
Slope of a Curve at a given Point To find the slope of a curve (at a given point) we must calculate the slope of the tangent line passing through that point. We this do by using Limits. Specifically, Hence, the slope of the curve at any of its points is two times the x coordinate of that point. • For example, let’s find the slope of a curve defined by Monday
Slope of a Curve Let’s practice, find the slope of the curve below at the specified point Monday