f(x)=x2+2x-1 g(x)= -500/x, x ≠0 k(x)= |x-2| For each function, do the following: Compute the derivative (that is, the derivative function) by evaluating the limit, for example, lim h →0 f(x+h)− f(x)/h. Show your work. (Notice that for the function k(x), you’ll have to compute the limit differently depending on whether x < 2 or x > 2, and you’ll end up with a piecewise function for the derivative. Since the graph of k(x) is made of straight lines, you can also find its derivative by looking at the actual slopes.)
f(x)=x2+2x-1 g(x)= -500/x, x ≠0 k(x)= |x-2| For each function, do the following: Compute the derivative (that is, the derivative function) by evaluating the limit, for example, lim h →0 f(x+h)− f(x)/h. Show your work. (Notice that for the function k(x), you’ll have to compute the limit differently depending on whether x < 2 or x > 2, and you’ll end up with a piecewise function for the derivative. Since the graph of k(x) is made of straight lines, you can also find its derivative by looking at the actual slopes.)
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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f(x)=x2+2x-1
g(x)= -500/x, x ≠0
k(x)= |x-2|
For each function, do the following:
Compute the derivative (that is, the derivative function) by evaluating the limit, for example, lim h →0 f(x+h)− f(x)/h. Show your work. (Notice that for the function k(x), you’ll have to compute the limit differently depending on whether x < 2 or x > 2, and you’ll end up with a
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