Compute the right-hand and left-hand derivatives as limits and check whether the function is differentiable at the point P. What is the right-hand derivative of the given function? f(4 + h) – f(4) lim h 10어 h→0* y= f(x) (Type an integer or a simplified fraction.) y= (x- 4)² - 1 y = 3x - 13 10 -10 P(4, – 1)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...
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Compute the right-hand and left-hand derivatives as limits and check whether the
function is differentiable at the point P.
What is the right-hand derivative of the given function?
f(4 + h) – f(4)
lim
%3D
Ay
10-
h
h→0+
y= f(x)
(Type an integer or a simplified fraction.)
y = (x- 4)² – 1
N= 3x - 13
-10
10
P(4, – 1)
-10-
Transcribed Image Text:Compute the right-hand and left-hand derivatives as limits and check whether the function is differentiable at the point P. What is the right-hand derivative of the given function? f(4 + h) – f(4) lim %3D Ay 10- h h→0+ y= f(x) (Type an integer or a simplified fraction.) y = (x- 4)² – 1 N= 3x - 13 -10 10 P(4, – 1) -10-
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