4. Let f: R² → R be given by f(x, y) = x² + y² and c: R → R² be given by c(t) = (t, e¹). Then (f o c)'(t) is a real valued function of one real variable (with denoting the derivative). Compute (foc)'(0) directly and by using the chain rule.
4. Let f: R² → R be given by f(x, y) = x² + y² and c: R → R² be given by c(t) = (t, e¹). Then (f o c)'(t) is a real valued function of one real variable (with denoting the derivative). Compute (foc)'(0) directly and by using the chain rule.
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Transcribed Image Text:4. Let f: R² → R be given by f(x, y) = x² + y² and c: R → R² be given
by c(t) = (t, et). Then (f o c)'(t) is a real valued function of one real
variable (with denoting the derivative). Compute (foc)'(0) directly
and by using the chain rule.
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