implicit differentiation to find y ′. x2⁄3 + y2⁄3 = 4   Find an equation of the line tangent to the given curve at the given point  (-3 square root of 3, 1).

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 24E
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Use implicit differentiation to find y ′.
x2⁄3 + y2⁄3 = 4
 
Find an equation of the line tangent to the given curve at the given point 
(-3 square root of 3, 1).
Expert Solution
Step 1

Given that 

         x2/3 + y2/3 = 4

Here we have to find y' by implicit differentiation and also find an equation of the line tangent to the given curve at the point (-3√3 , 1).

 

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