Q8. a) Determine an algebraic expression that represents instantaneous rate of change at the point x = a for the following function f (x) using the difference quotient method. (Do not use numbers. Use the letter h and point a to determine an algebraic formula.) b) Then find the instantaneous rate of change at a = -3. f(x) = x+1
Q8. a) Determine an algebraic expression that represents instantaneous rate of change at the point x = a for the following function f (x) using the difference quotient method. (Do not use numbers. Use the letter h and point a to determine an algebraic formula.) b) Then find the instantaneous rate of change at a = -3. f(x) = x+1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please solve question a) using the difference quotient method using the letter h and a to determine an algebraic formula. Show all steps. Thank you.
Transcribed Image Text:Q8.
a) Determine an algebraic expression that represents instantaneous rate of change at the point x = a
for the following function f (x) using the difference quotient method. (Do not use numbers. Use
the letter h and point a to determine an algebraic formula.)
b) Then find the instantaneous rate of change at a = -3.
f(x) =
x+1
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