Let f be a differentiable function. Consider the relation (). where z is implicitly defined in terms of x and y. If u= then: 22f(u) dy + ryf'(u) A) -:f'(u) 2 + ry f'(u) B) 22 f(u) + xzf'(u) 22 + x f'(u) D) dy 22 + ry f'(u)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Let f be a differentiable function. Consider the relation
().
where z is implicitly defined in terms of x and y.
If
u = -
then:
az
A)
22 f(u)
2² + ryf'(u)
az
B)
-f"(u)
22 + ryf'(u)
22 f(u) + rzf'(u)
2 + x2 f'(u)
fie
az
az
D)
fie
22 + ry f'(u)
HIN
Transcribed Image Text:Let f be a differentiable function. Consider the relation (). where z is implicitly defined in terms of x and y. If u = - then: az A) 22 f(u) 2² + ryf'(u) az B) -f"(u) 22 + ryf'(u) 22 f(u) + rzf'(u) 2 + x2 f'(u) fie az az D) fie 22 + ry f'(u) HIN
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