9. Find an equation of the tangent line to the curve x³ + y3 = 9 at the point (1.2). Solution:.. dx dy dx (x³ + y³) = 10. Given x sin y + y cos x = 1, find Solution: Solution: -(x sin y) = dx -(y cos x) = At point (1, 2) dy dx Final Answer: An equation of the tangent line use y-y₁ = m(x-x₂). -(1) Final Answer: dx 11

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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Question
9. Find an equation of the tangent line to the curve x³ + y³ = 9 at the point (1.2).
Solution:
d
²4+ (x³ + y ³) =
dx
dy
dx
10. Given x sin y + y cos x = 1, find
Solution:
Solution:
d
11
-(x sin y) =
dx
d
-(y cos x) =
dx
dy
dx
At point (1, 2)
dy
dx
Final Answer: An equation of the tangent line
use y-y₁ = m(x-x₂).
-(1)
Final Answer:
dy
dx
Transcribed Image Text:9. Find an equation of the tangent line to the curve x³ + y³ = 9 at the point (1.2). Solution: d ²4+ (x³ + y ³) = dx dy dx 10. Given x sin y + y cos x = 1, find Solution: Solution: d 11 -(x sin y) = dx d -(y cos x) = dx dy dx At point (1, 2) dy dx Final Answer: An equation of the tangent line use y-y₁ = m(x-x₂). -(1) Final Answer: dy dx
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