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The point P(4, 24) lies on the curve y = z + x +4. If Q is the point (x, x² + x + 4), find the slope of the secant line PQ for the following values of 1. If z = 4.1, the slope of PQ is: and if a = 4.01, the slope of PQ is: and if z = 3.9, the slope of PQ is: and if z = 3.99, the slope of PQ is: Based on the above results, guess the slope of the tangent line to the curve at P(4, 24).

The point P(4, 24) lies on the curve y = z + x +4. If Q is the point (x, x² + x + 4), find the slope of the secant line PQ for the following values of 1. If z = 4.1, the slope of PQ is: and if a = 4.01, the slope of PQ is: and if z = 3.9, the slope of PQ is: and if z = 3.99, the slope of PQ is: Based on the above results, guess the slope of the tangent line to the curve at P(4, 24).

Calculus: Early Transcendentals
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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The point P(4, 24) lies on the curve y = x² + x + 4. If Q is the point (z, a + x + 4), find the slope of the secant line PQ for the following values of 2. If x = 4.1, the slope of PQ is: and if æ = 4.01, the slope of PQ is: and if a = 3.9, the slope of PQ is: and if a = 3.99, the slope of PQ is: Based on the above results, guess the slope of the tangent line to the curve at P(4, 24).
Transcribed Image Text:The point P(4, 24) lies on the curve y = x² + x + 4. If Q is the point (z, a + x + 4), find the slope of the secant line PQ for the following values of 2. If x = 4.1, the slope of PQ is: and if æ = 4.01, the slope of PQ is: and if a = 3.9, the slope of PQ is: and if a = 3.99, the slope of PQ is: Based on the above results, guess the slope of the tangent line to the curve at P(4, 24).
Find the derivative of the function f(x) = 9x( – 5æ + 6æ²). %3D f'(x) =
Transcribed Image Text:Find the derivative of the function f(x) = 9x( – 5æ + 6æ²). %3D f'(x) =
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