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Takes
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Produces
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What you'll produce
Input
Calculate the derivative of f(x)=3x^2+2x-5 at x=4.
Output
AI Tutor: Let's start by recalling the derivative rule for a polynomial. The derivative of 3x^2 is 6x, the derivative of 2x is 2, and the derivative of a constant is 0. So f'(x)=6x+2. Next, substitute x=4: f'(4)=6*4+2=24+2=26. Would you like a hint on how we applied the power rule, or see a real‑world example of where this derivative might be used?

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