{
  "ces_question_format": "1.0",
  "site": "math",
  "question_type": "text",
  "question_title": "Derivative of a polynomial",
  "question_content": "Let $f(x) = a x^2 + b x$. Find $f'(x)$ and $f'(1)$.\n\n$f'(x) = $ \\ans{A}, $f'(1) = $ \\ans{B}",
  "question_variable": "a=1,...,5\nb=-3,-2,-1,1,2,3",
  "question_answer": "A=2*a*x+b\nB=2*a+b",
  "evaluation_method": 0,
  "score": 2,
  "question_hint": "$(x^n)' = n x^{n-1}$",
  "q_solution_explanation": "$f'(x) = 2ax + b$, so $f'(1) = 2a + b$."
}