Show that the function f(x) = |x – 2| is not differentiable at 2. We have if x > 2 f(x) = |x – 2| = if x < 2. The right-hand limit is lim (x) – f(2). x-2+ and the left-hand limit is lim (x) – f(2) f(x) – f(2) Since these limits are not equal, f'(2) = lim does not exist and fis not differentiable at 2. Find a formula for f' and sketch its graph. if x > 2 f'(x) = if x < 2 -7 -6 -5 -3 -2 -1 -1 No -2 Solution -3 -4 -7 Help

Show that the function f(x) = |x – 2| is not differentiable at 2. We have if x > 2 f(x) = |x – 2| = if x < 2. The right-hand limit is lim (x) – f(2). x-2+ and the left-hand limit is lim (x) – f(2) f(x) – f(2) Since these limits are not equal, f'(2) = lim does not exist and fis not differentiable at 2. Find a formula for f' and sketch its graph. if x > 2 f'(x) = if x < 2 -7 -6 -5 -3 -2 -1 -1 No -2 Solution -3 -4 -7 Help

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter14: Discrete Dynamical Systems

Section14.3: Determining Stability

Problem 1YT

See similar textbooks