Which of the following are equivalent to asking "Find the derivative of f(x) = x² at x = 3"? (Select all that apply.) Compute the limit lim 2-3 Compute the limit lim h0 (3+x)²-3³ z-3 (3+h)²-3² Find the average velocity of f (x) = x² on the interval [0, 3]. Find the slope of the tangent line to the graph of f (x) = x² at the point (3,9). Find f' (3) if f(x) = x². Find the difference quotient of f (x) = x² at x = 3.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
icon
Related questions
Question
Which of the following are equivalent to asking "Find the derivative of f (x) = x² at x = 3 "?
(Select all that apply.)
Compute the limit lim
x 3
Compute the limit lim
h→0
(3+x)²-3²
2-3
(3+h)²-3²
h
Find the average velocity of f(x) = x² on the interval [0, 3].
Find the slope of the tangent line to the graph of f (x) = x² at the point (3,9).
Find f' (3) if f(x) = x².
Find the difference quotient of f(x) = x² at x = 3.
Transcribed Image Text:Which of the following are equivalent to asking "Find the derivative of f (x) = x² at x = 3 "? (Select all that apply.) Compute the limit lim x 3 Compute the limit lim h→0 (3+x)²-3² 2-3 (3+h)²-3² h Find the average velocity of f(x) = x² on the interval [0, 3]. Find the slope of the tangent line to the graph of f (x) = x² at the point (3,9). Find f' (3) if f(x) = x². Find the difference quotient of f(x) = x² at x = 3.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax