Ise the limit definition of the derivative to compute the derivative of the function f(z) = at an arbitrary point z. Evaluate the limit by using algebra to simplity the difference quotient (in first answer box) and then evaluating the limit (in the second answer box). 4+9z =(2) = lim (A f(x + h) – f(z) -6 low let's calculate the tangent line to the function f(z) = at z=9 4+ 9z a. The slope of the tangent line to f at z= 9 is b. The tangent line to f at z = 9 passes through the point on the graph of f. • Enter the point in the form (x, y), including the parentheses. C. An equation for the tangent line to f at z=9 is y =

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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Use the limit definition of the derivative to compute the derivative of the function f(z) =
at an arbitrary point z. Evaluate the limit by using algebra to simplify the difference quotient (in first answer box) and then evaluating the limit (in the second answer box).
4+ 9x
()-
f(x + h) – f(x)
f'(x) = lim
= lim
h0
=
h0
h
-6
Now let's calculate the tangent line to the function f(x)
at z = 9.
%3D
4+ 9z
a. The slope of the tangent line to f at z = 9 is
b. The tangent line to f at z = 9 passes through the point
on the graph of f.
• Enter the point in the form (x, y), including the parentheses.
C. An equation for the tangent line to f at z = 9 is y =
Transcribed Image Text:Use the limit definition of the derivative to compute the derivative of the function f(z) = at an arbitrary point z. Evaluate the limit by using algebra to simplify the difference quotient (in first answer box) and then evaluating the limit (in the second answer box). 4+ 9x ()- f(x + h) – f(x) f'(x) = lim = lim h0 = h0 h -6 Now let's calculate the tangent line to the function f(x) at z = 9. %3D 4+ 9z a. The slope of the tangent line to f at z = 9 is b. The tangent line to f at z = 9 passes through the point on the graph of f. • Enter the point in the form (x, y), including the parentheses. C. An equation for the tangent line to f at z = 9 is y =
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