4. Finally, from our class discussions, recall that the instantaneous rate of change at r = a is viewed as the limit as aa of rates of change S(z) – f(a) Put differently, given the curve y f (x), the slope of the tangent line at P(a, f(a) can be interpreted as a limit of slopes of secant lines PQ as Q comes closer and closer to P along the curve. a) By following the above approach, compute the slope of the tangent line to the parabola y = x2 - 3 at the point P(4, 13). Note: You may want to sketch a graph to visualize the slope of the tangent line at a = 4.

4. Finally, from our class discussions, recall that the instantaneous rate of change at r = a is viewed as the limit as aa of rates of change S(z) – f(a) Put differently, given the curve y f (x), the slope of the tangent line at P(a, f(a) can be interpreted as a limit of slopes of secant lines PQ as Q comes closer and closer to P along the curve. a) By following the above approach, compute the slope of the tangent line to the parabola y = x2 - 3 at the point P(4, 13). Note: You may want to sketch a graph to visualize the slope of the tangent line at a = 4.

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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