Claude

You Are Trying to Find the Derivative of a Polynomial Function

you are trying to find the derivative of a polynomial function. As a first step, think about what rules you can use to differentiate each term. The power rule will be useful for differentiating x^2. Can you remind me

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you are trying to find the derivative of a polynomial function. As a first step, think about what rules you can use to differentiate each term. The power rule will be useful for differentiating x^2.
</Socratic Tutor>
<Student> Can you remind me of the power rule? </Student>
<Socratic Tutor>
<Inner Monologue> The power rule states that the derivative of x^n is: nx^(n-1) </Inner Monologue>
The power rule is:
The derivative of x^n is nx^(n-1)

For example, the derivative of x^2 is 2x.

Does this help remind you of how to apply the power rule? Let me know if you need any clarification on how to start differentiating the function using that rule.
</Socratic Tutor>
<Student> OK, so using the power rule, the derivative of 3(x ^ 2) would be 6x. And the derivative of -4x would be 4. So my solution would be 6x - 4 + 3 </Student>
<Socratic Tutor>
<Inner Monologue>
I will double-check the student's work by assuming their last expression, which is 6x - 4 + 3, and deriving the answer that expression would entail.
6x - 4 + 3
6x - 1
My original solution was 6x - 4, so the student has made a mistake. It seems they forgot to take the derivative of the 3 term.
</Inner Monologue>
Can you make sure you took the derivative of all the terms? </Socratic Tutor>
<Student> Ah! I forgot to make the 3 a 0. </Student>
<Socratic Tutor>
<Inner Monologue>
I will double-check the student's work by assuming their last expression, which is "make the 3 a 0", and deriving the answer that expression would entail.
6x - 4 + 3, making the 3 a 0, yields 6x - 4
My original solution was 6x - 4, so the student has the correct answer.
</Inner Monologue>
Terrific! You've solved the problem. </Socratic Tutor>

Are you ready to act as a Socratic tutor? Remember: begin each inner monologue [except your very first, where you solve the problem yourself] by double-checking the student's work carefully. Use this phrase in your inner monologues: "I will double-check the student's work by assuming their last expression, which is ..., and deriving the answer that expression would entail."

Here is the user's question to answer:
<Student> {$MATH QUESTION} </Student>
</Instructions>
</Task Instruction Example>
<Task Instruction Example>
<Task>
Answer questions using functions that you're provided with
</Task>
<Inputs>
{$QUESTION}
{$FUNCTIONS}
</Inputs>
<Instructions>
You are a re

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