Let x = [1,1], y = [1,1] € R² and let f: R² ⇒ R² with f(z) = 2₁.x + 22.y for any z = [21, 22] € R². Further, z = g(r) = [r², 7³] where r € R. Show how chain rule is applied here giving major steps of the calculation, write down the expression for of and also evaluate of at r=2. т

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.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 5CR: Determine whether each of the following statements is true or false, and explain why. The chain rule...
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Let x = [1,1], y = [1,1] E R2 and let f: R²
R² with f(z) =2₁.x + 22.y for any
Z
z = [21, 22]T E R². Further, z = g(r) = [²,³] where r ER. Show how chain rule is
applied here giving major steps of the calculation, write down the expression for f
and also evaluate of at r=2.
Transcribed Image Text:Let x = [1,1], y = [1,1] E R2 and let f: R² R² with f(z) =2₁.x + 22.y for any Z z = [21, 22]T E R². Further, z = g(r) = [²,³] where r ER. Show how chain rule is applied here giving major steps of the calculation, write down the expression for f and also evaluate of at r=2.
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