2. What is the slope of the line tangent to the curve 8x3-y²=4 at the point (1,-2)? CAL normal line to the curve 2x3 +2y3-9xy = 2 at

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Learning Task 3: Read each item carefully. Show all secessary lutions in solv.
1. Find the derivative of the following using implicit differentiation.
x² +²²=x+y
b. x² + xy³ = x
c. y = ser(x + y)
d. x cosy + y sin x-1=0
e.
3 x
---=2
x y
2. What is the slope of the line tangent to the curve 8x³ - y² = 4 at the point
at
(1,-2)?
3. What is the equation of the normal line to the curve 2x³ + 2y³-9xy = 2
the point (0, 1)?
Transcribed Image Text:Learning Task 3: Read each item carefully. Show all secessary lutions in solv. 1. Find the derivative of the following using implicit differentiation. x² +²²=x+y b. x² + xy³ = x c. y = ser(x + y) d. x cosy + y sin x-1=0 e. 3 x ---=2 x y 2. What is the slope of the line tangent to the curve 8x³ - y² = 4 at the point at (1,-2)? 3. What is the equation of the normal line to the curve 2x³ + 2y³-9xy = 2 the point (0, 1)?
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