Estimate the instantaneous rate of change of P(t)=3t^2− 6 at the point: t =

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 2TU: Use the table of values you made in part 4 of the example to find the limiting value of the average...
icon
Related questions
Question

Estimate the instantaneous rate of change of P(t)=3t^2− 6 at the point: t = 1

Estimate the instantaneous rate of change of
P(t) = 3t2 – 6 at the point: t = 1
In other words, choose x-values that are getting closer and
closer to 1 and compute the slope of the secant lines at
each value. Then, use the trend/pattern you see to
estimate the slope of the tangent line.
Your answer should be accurate to at least 2 decimal
places.
Transcribed Image Text:Estimate the instantaneous rate of change of P(t) = 3t2 – 6 at the point: t = 1 In other words, choose x-values that are getting closer and closer to 1 and compute the slope of the secant lines at each value. Then, use the trend/pattern you see to estimate the slope of the tangent line. Your answer should be accurate to at least 2 decimal places.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Rate of Change
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
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax