7. (Chain Rule): Let ƒ : [a, b] → R, g : [c, d] → R, ƒ([a, b]) ≤ [c, d], and xo = [a, b]. If f is differentiable at xo and g is differentiable at f(xo), then the composition function gof is differentiable at c and (gof)'(c) = g'(ƒ(c)) · f'(c).
7. (Chain Rule): Let ƒ : [a, b] → R, g : [c, d] → R, ƒ([a, b]) ≤ [c, d], and xo = [a, b]. If f is differentiable at xo and g is differentiable at f(xo), then the composition function gof is differentiable at c and (gof)'(c) = g'(ƒ(c)) · f'(c).
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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