equation

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...
Question

find the equation of the tangent line f(x)=cos x, f'(x)=sin x, x=2pi/3

I am getting y=sq rt 3/2x - 2pi/3 - 1/2. Is this correct?

ın
m
x 3
4. f(x) = cos x
f'(x) = sinx V3
율 = xx
27
ㅎ
9화.
th
1.
y = f(c) + f'(c(x-c)
(1x-x)w='h-h
100y-snx=
y-ta) = 11 x - 8품
우+h.
9/1
-18
0
도
Q x
E
x_e__ =ĥ
LLE
2
ㅜ
w/3
He
T
a
Transcribed Image Text:ın m x 3 4. f(x) = cos x f'(x) = sinx V3 율 = xx 27 ㅎ 9화. th 1. y = f(c) + f'(c(x-c) (1x-x)w='h-h 100y-snx= y-ta) = 11 x - 8품 우+h. 9/1 -18 0 도 Q x E x_e__ =ĥ LLE 2 ㅜ w/3 He T a
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Follow-up Question

what excatly are you doing between lines 3 and 4 that gets -2pi/3 (in line 3) changed to -pi/sq rt 3 (in line 4)? 

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