5. The definition of the slope of a tangent line is given in our text at the top of page 128. 3 f(x2= 16x-x if the limit exists. For our problem, let a = 1. Find 3 f(1+h) = 16+ 16h - (1th)" f(1) = /6 -1 = 13 f(1+h)-f(1) h mtan = lim h-0 mtan f(a+h)-f(a) o h lim h→0 16+ 16h -(( +h)² = 15_ n f(1+h)-f(1) h (remember this means to plug in h=0 into the simplified expression above) wend 6. Find the equation of the line tangent to the graph of the function at (1, ƒ(1)). Write your equation in slope intercept form.
5. The definition of the slope of a tangent line is given in our text at the top of page 128. 3 f(x2= 16x-x if the limit exists. For our problem, let a = 1. Find 3 f(1+h) = 16+ 16h - (1th)" f(1) = /6 -1 = 13 f(1+h)-f(1) h mtan = lim h-0 mtan f(a+h)-f(a) o h lim h→0 16+ 16h -(( +h)² = 15_ n f(1+h)-f(1) h (remember this means to plug in h=0 into the simplified expression above) wend 6. Find the equation of the line tangent to the graph of the function at (1, ƒ(1)). Write your equation in slope intercept form.
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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I can’t figure out number 5 and 6 please help me

Transcribed Image Text:5. The definition of the slope of a tangent line is given in our text at the top of page
128.
3
f(x2= 16x-x
and if the limit exists.
eole For our problem, let a = 1. Find
f(1) = /6-1=
mtan = lim
h→0
f(1+h) = 16+16h - (/th) ³
mtan
= lim
h→0
13
f(1+h)-f(1) 16+ 16h - (1 +h)²³ - 15-
h
n
f(1+h)-f(1)
h
1 = 16+ 16-101+V
f(a+h)-f(a)
h
=
(remember this means to plug in h=0 into the simplified expression above)
6. Find the equation of the line tangent to the graph of the function at (1,ƒ(1)).
Write your equation in slope intercept form.
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