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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![4. Let f: [a, b] → R,g: [a, b] → R, and x = [a, b] such that f'(x) and g'(x) exist, g'(x) = 0,
and f(x) = g(x) = 0. Prove lim (¹)
t-x g(t)
g'(x)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb31f8ea0-69b5-470b-9137-d0266a4565ac%2Fdcac66b9-c867-4a1f-876c-b0d8372f4f9b%2Fw0852ax_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. Let f: [a, b] → R,g: [a, b] → R, and x = [a, b] such that f'(x) and g'(x) exist, g'(x) = 0,
and f(x) = g(x) = 0. Prove lim (¹)
t-x g(t)
g'(x)
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