Let h(a)= f(a)= g(a), and let h(x)<= f(x)<= g(x) for all x. Show that if h'(a)=g'(a) then then f is differentiable at x=a, and h'(a)=f'(a)=g'(a).
Let h(a)= f(a)= g(a), and let h(x)<= f(x)<= g(x) for all x. Show that if h'(a)=g'(a) then then f is differentiable at x=a, and h'(a)=f'(a)=g'(a).
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...
Related questions
Topic Video
Question
Let h(a)= f(a)= g(a), and let h(x)<= f(x)<= g(x) for all x. Show that
if h'(a)=g'(a) then then f is differentiable at x=a, and h'(a)=f'(a)=g'(a).
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Recommended textbooks for you