Learning Goal DM 3: (CORE) I can find the intantaneous rate of change (ie the derivative) of a function at a point 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 value of f'(-2). Then evaluate the limit using only algebraic methods for computing the limit. (You cannot use differentiation rules for this problem. You can only use them to check your answer.)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 6E
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Learning Goal DM 3: (CORE) I can find the intantaneous rate of change (ie the derivative) of
a function at a point 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 value
of f'(-2). Then evaluate the limit using only algebraic methods for computing the limit.
(You cannot use differentiation rules for this problem. You can only use them to check
your answer.)
Transcribed Image Text:Learning Goal DM 3: (CORE) I can find the intantaneous rate of change (ie the derivative) of a function at a point 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 value of f'(-2). Then evaluate the limit using only algebraic methods for computing the limit. (You cannot use differentiation rules for this problem. You can only use them to check your answer.)
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