Implicit Differentiation Study Materials - Edubirdie

University:
California State University, Northridge
Course:
MATH 150B | Calculus II
Academic year:

2023
Views:

314

Pages:

1
Author:

Annisa F.

Implicit Differentiation Y-(x) 's on explicit function because the dependent variable y is at one side and explicitly expressed by independent variable X Imptisit form of this function can be showen by F(xy). where both variables are in on side • Explicit Functions Yox-3x, Ye Anx, y= sinx • Implicit Functions 2x-y+3=0, 2-y²=D • Find the derivate of 2x-7y+3=0 Differentiating both sides with respect to we have d (2x-7y+3) =d (o) dy dx 2-77' tooy' = 2 7 • Find the derivate of x²-2xy + y b Using the same method: 2x-24-2xy+3y²y' = 0 → Y = 24-2x 3y-2x • Find the derivate of 2-200 (y+xy²) 27-244=0y12 • Find derivative of sin ()-Inlxy)-0 -YXXY D xy

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