use the Chain rule to find derivative: a) y = cot(412 +9) b) y = y = cos (e?) c) d) y = cos(x²) +1 2. use the table of values to calculate the derivative of the function at the given point. 1 4 6 4 0 6 f(x) f'(x) | 5 7 4 1 6 g(x) 4 g'(x) 5 4 3 f(g(x)), x = 6 b) sin(f (x)), x = 4

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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Please do both
use the Chain rule to find derivative:
a)
y = cot(412 + 9)
b)
y =
c)
y = cos (e?)
d)
y =
cos(x²) + 1
2.
use the table of values to calculate the derivative of the function at the given point.
4
f(x)
f'(x) 5
g(x)
g'(x)
4
4
5 3
a)
f (g(x)), x= 6
b)
sin(f (x)), x = 4
449
Transcribed Image Text:use the Chain rule to find derivative: a) y = cot(412 + 9) b) y = c) y = cos (e?) d) y = cos(x²) + 1 2. use the table of values to calculate the derivative of the function at the given point. 4 f(x) f'(x) 5 g(x) g'(x) 4 4 5 3 a) f (g(x)), x= 6 b) sin(f (x)), x = 4 449
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