a) Find an equation of the line tangent to the curve defined by x¹ + 5xy + yº = y = = 7 at the point (1, 1).

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
a) Find an equation of the line tangent to the curve defined by x¹ + 5xy + yº
=
y = =
7 at the point (1, 1).
Transcribed Image Text:a) Find an equation of the line tangent to the curve defined by x¹ + 5xy + yº = y = = 7 at the point (1, 1).
b) If z = xy² and x = et and y = sin(t), find the following derivative using the chain rule. Enter your answer as a function of t.
dz
dt
||
Transcribed Image Text:b) If z = xy² and x = et and y = sin(t), find the following derivative using the chain rule. Enter your answer as a function of t. dz dt ||
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