5. Find f'(x) if f(x) = √4sin²x +9 cos²x. Solution: U= du dx B) Implicit Differentiation Example: Consider the equation x4-y² - xy = 4, find Solution: =(x²)=4x² (-y²) = -2y -(3x¹y²) = dx 18 dy (7xy³)= du dy dx 6. Consider the equation 3x4y²-7xy³ = 4-8y, find dx Solution. 11 dy (xy)=x.. +y1=x +y Final Answer: dy 4x³-y = dx 2y + x dy dx -(4-8y) = Final Answer: dy dx 11
5. Find f'(x) if f(x) = √4sin²x +9 cos²x. Solution: U= du dx B) Implicit Differentiation Example: Consider the equation x4-y² - xy = 4, find Solution: =(x²)=4x² (-y²) = -2y -(3x¹y²) = dx 18 dy (7xy³)= du dy dx 6. Consider the equation 3x4y²-7xy³ = 4-8y, find dx Solution. 11 dy (xy)=x.. +y1=x +y Final Answer: dy 4x³-y = dx 2y + x dy dx -(4-8y) = Final Answer: dy 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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