Suppose z is a differentiable function of x and y implicitly defined by the equation E : 2³ + xe² = 2 – y3 + ln(y²) cos(y + 1). a. Find the equation of the tangent plane to the graph of E at (3, –1,0). dz when (x, y) = (3, – 1). dx b. Evaluate

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 44E
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Suppose z is a differentiable function of x and y implicitly defined by the equation
E : 23 + xe² = 2 – y³ + In(y²) cos(y + 1).
a. Find the equation of the tangent plane to the graph of E at (3, –1,0).
dz
when (x, y) = (3, – 1).
b. Evaluate
Transcribed Image Text:Suppose z is a differentiable function of x and y implicitly defined by the equation E : 23 + xe² = 2 – y³ + In(y²) cos(y + 1). a. Find the equation of the tangent plane to the graph of E at (3, –1,0). dz when (x, y) = (3, – 1). b. Evaluate
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