Find the equation of the tangent line to y = 24 (sin(0) + cos(0)) at 0 = 품. (Use symbolic notation and fractions where needed.) Find the equation of the tangent line to y = 16e* cos(x) at x = 0. (Use symbolic notation and fractions where needed.)

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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Hey! There a few different parts within this question. I need help finding the equation of the tangent line for the first two. And then dy/dx for the last two using the following method. Please help! Thanks. 

Find the equation of the tangent line to y = 24 (sin(0) + cos(0)) at 0 =
(Use symbolic notation and fractions where needed.)
16e* cos(x) at x = 0.
Find the equation of the tangent line to y
=
(Use symbolic notation and fractions where needed.)
Transcribed Image Text:Find the equation of the tangent line to y = 24 (sin(0) + cos(0)) at 0 = (Use symbolic notation and fractions where needed.) 16e* cos(x) at x = 0. Find the equation of the tangent line to y = (Use symbolic notation and fractions where needed.)
Calculate the derivatives (ƒ(g(x)))' and (g(ƒ(x)))' if
f(x) = x³
1
3x + 1
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
g(x)
3
(f(g(x)))' = 5x² ( 3x + 1) - 3x + 1
Incorrect
=
(g(f(x)))' =
Incorrect
- 3x²³/7 (x³). 5x4
+ 1
Transcribed Image Text:Calculate the derivatives (ƒ(g(x)))' and (g(ƒ(x)))' if f(x) = x³ 1 3x + 1 (Express numbers in exact form. Use symbolic notation and fractions where needed.) g(x) 3 (f(g(x)))' = 5x² ( 3x + 1) - 3x + 1 Incorrect = (g(f(x)))' = Incorrect - 3x²³/7 (x³). 5x4 + 1
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