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Calculus I
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Present and Defend Findings
Grade Level
Calculus I
CAL1.196 Present and Defend Findings
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A team estimates f'(5) using the single secant slope from x = 5 to x = 6. A peer asks whether this proves the derivative. Which response is best?
A
It provides finite-difference evidence, but a derivative is a limit as the interval width approaches 0, so smaller intervals or a symbolic derivative would strengthen the claim.
B
It proves f'(5) exactly for every function.
C
It cannot be used as evidence because secant slopes are unrelated to derivatives.
D
It proves f'(6), not f'(5).
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