Which AP Practice Question Choice Did You Select?

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Discussion Overview

The discussion revolves around a practice AP question related to the application of the chain rule in calculus. Participants share their selected answers and reasoning based on the functions provided, exploring the implications of the given information.

Discussion Character

  • Homework-related, Mathematical reasoning, Debate/contested

Main Points Raised

  • One participant expresses uncertainty about the answer choices provided, indicating that their selection was based on incomplete information.
  • Another participant presents the chain rule for differentiation, applying it to the function \( h(x) = f(g(x)) \) and suggests evaluating at \( x=1 \).
  • A third participant follows up with the same chain rule application, calculating a specific derivative value and concluding with a selection of answer choice (B).
  • A later reply confirms the correctness of the calculation presented by the third participant.
  • One participant expresses gratitude but notes the absence of a "thanks" button, indicating a desire for acknowledgment within the forum structure.

Areas of Agreement / Disagreement

There is no consensus on the correct answer among all participants, as different selections are made and discussed. Some participants agree on the application of the chain rule, while others express uncertainty about the answer choices.

Contextual Notes

The discussion highlights potential limitations in the clarity of the problem statement and the functions involved, which may affect participants' ability to arrive at a definitive answer.

karush
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this is a practice AP question but the answer is not given from the A to E selection
had a hard time with this not knowing what the functions were so just using what was given I did this (bold mine) I chose (D). It appeared that some of what was give was not needed...
 
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We are given:

$$h(x)=f\left(g(x) \right)$$

Thus, by the chain rule, we find:

$$h'(x)=f'\left(g(x) \right)\cdot g'(x)$$

So, plug in $x=1$, and what do you find?
 
MarkFL said:
We are given:

$$h(x)=f\left(g(x) \right)$$

Thus, by the chain rule, we find:

$$h'(x)=f'\left(g(x) \right)\cdot g'(x)$$

So, plug in $x=1$, and what do you find?

$$-5\cdot-3 = 15$$ which is $$(B)$$
 
Correct! (Star)
 
thanks
don't see the thanks button tho?
 

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