Question 11?Answer should be (-5). Please show work, thank you! Figure 3.6Definition Rate of Change and the Slope of the Tangent LineThe average rate of change in f on the interval [a, x] is the slope of thecorresponding secant line:msec -(1)The instantaneous rate of change in f at a isf(x) = f(a)x-amtanlimx-af(x) = f(a)x-a"which is also the slope of the tangent line at (a, f(a)), provided this limitexists. The tangent line is the unique line through (a, f(a)) with slope mtan. Itsequation isy = f(a) = mtan(x − a).. The definition of msec involves a difference quotient, introducedin Section 1.10.133/1184> VICT, VITUAL 1000 p/ reprodu6. The following figure shows the graph of f and a line tangent to the graph of6. Find f(6) and f'(6).fat xУА98765-43210-y=f(x)12 3 4 5 6 789 X7. An equation of the line tangent to the graph of f at the point (2, 7) isy = 4x − 1. Find f(2) and f'(2).--8. An equation of the line tangent to the graph of g at x = 3 is y = 5x + 4.Find g(3) and g'(3).9. If h(1) = 2 and h'(1) = 3, find an equation of the line tangent to thegraph of h at x = 1.10. If ƒ'(−2) = 7, find an equation of the line tangent to the graph of f at thepoint (-2, 4).11. Use definition (1) (p. 133) to find the slope of the line tangent to the graphof f(x) = -5x + 1 at the point (1, - 4).12. Use definition (2) (p. 135) to find the slope of the line tangent to the graphof f/m) Kot DA FI

Answered: 11. Use definition (1) (p. 133) to find…

11. Use definition (1) (p. 133) to find the slope of the line tangent to the graph of f(x) = -5x + 1 at the point (1, - 4).

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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