On paper, differentiate the following function, leaving your answer in simplest factorised form:

AND

In this quiz, select "I have done this question on paper"

(Answer in quiz: 0 mark)
(Written answer: 3 marks)

Question

On paper, differentiate the following function, leaving your answer in simplest factorised form:

AND

In this quiz, select "I have done this question on paper"

(Answer in quiz: 0 mark)
(Written answer: 3 marks)

BlackTom AI · Accepted Answer

The prompt presents a calculus task: differentiate a function on paper and express the answer in simplest factorised form. It also includes a quiz instruction that asks to select the statement: "I have done this question on paper" and notes the quiz awards 0 marks for the quiz answer but 3 marks for the written answer.

However, the provided data shows a problem with missing answer options. Specifically, the field for answer_options is an empty list, which means there are no discrete multiple-choice choices to evaluate against. This gap makes it impossible to assess each option in the usual way, since no alternative statements are presented for comparison.

Given the available information, the answer field contains the single string: "I have done this question on paper". In a standard multiple-choice setup, this would correspond to selecting the option that states one has completed the work on paper. Since there are no other options listed to contrast, we can only note that this text aligns with the quiz instruction embedded in the question.

Now, addressing the content as if you were preparing to answer such a question in practice: differentiating a function on paper and presenting the result in factored form is a typical exercise in calculus that tests both differentiation techniques and algebraic simplification. To proceed on paper, you would perform the differentiation step by step, then manipulate the algebra to factor the final expression fully. The quality of your factorised form would depend on recognizing common factors, factoring quadratics, and cancelling any common terms if applicable.

In terms of potential misconceptions: without listed options, one might incorrectly assume you only need to present a derivative in expanded form rather than factoring, or mistake the instruction about the quiz marks as part of the mathematical task rather than a meta-note about scoring. Remember that factorised form is preferred for its simplicity and insights into roots or critical points.

In summary, the core issue here is the absence of provided answer choices to analyze. The given answer text matches the quiz instruction present in the prompt, but without options to evaluate, there’s no basis to critique alternative selections or to justify choosing this option over others. If you intended to have a full MCQ analysis, please supply the complete list of answer options to enable a detailed, option-by-option evaluation.

On paper, differentiate the following function, leaving your answer in simplest factorised form: AND In this quiz, select "I have done this question on paper" (Answer in quiz: 0 mark) (Written answer: 3 marks)

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