Chain Rule Differentiation Error
A student is asked to find the derivative of the function . The student’s answer is , but the correct answer is . Which of the following best describes the student’s error?
A
They mistakenly squared the inner function instead of differentiating it.
B
They computed the derivative correctly for the outer function but then incorrectly simplified the radical.
C
They misapplied the quotient rule, which was unnecessary in this context.
D
They neglected to multiply by the derivative of the inner function 2, thus omitting the constant factor 2 from the chain rule.
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