Learning Goal DM 4: I can find the formula for the derivative of a function using limits and the definition of the derivative. (You cannot use differentiation rules for this problem. You can only use them to check your answer.) Consider the function f(x)= -x³+8x²-3. Set up the limit expression that will find the formula for f'(x). Then evaluate the limit using only algebraic methods for computing f'(x) at any value for x. (You cannot use differentiation rules for this problem. You can only use them to check your answer.)

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
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Learning Goal DM 4: I can find the formula for the derivative of a function using limits and the
definition of the derivative. (You cannot use differentiation rules for this problem. You can only
use them to check your answer.)
Consider the function f(x)= -x³+8x²-3. Set up the limit expression that will find the
formula for f'(x). Then evaluate the limit using only algebraic methods for computing
f'(x) at any value for x. (You cannot use differentiation rules for this problem. You can
only use them to check your answer.)
Transcribed Image Text:Learning Goal DM 4: I can find the formula for the derivative of a function using limits and the definition of the derivative. (You cannot use differentiation rules for this problem. You can only use them to check your answer.) Consider the function f(x)= -x³+8x²-3. Set up the limit expression that will find the formula for f'(x). Then evaluate the limit using only algebraic methods for computing f'(x) at any value for x. (You cannot use differentiation rules for this problem. You can only use them to check your answer.)
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