5165.299 Match Student Work Showing the Same Reasoning
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Skill Level🟢 Easy
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Look past notation and efficiency in the responses. Which two use the same mathematical reasoning? Task: Differentiate h(x) = x2 sin(x). Two responses may share the same product-rule error. Student 1: Use h'(x) = 2x sin x + x2 cos x. Student 2: Write h'(x) = (2x)(cos x), multiplying the derivatives of the two factors. Student 3: Treat sin(x) as a constant and write h'(x) = 2x sin x. Student 4: Differentiate each factor separately and multiply the results together.