题目
MATH_1225_17255_202501 3.2 The Product and Quotient Rules (timed)
单项选择题
𝑑 𝑑 𝑥 [ 𝑒 𝑥 𝑥 2 + 4 ] =
选项
A.𝑒
𝑥
2
𝑥
B.2
𝑥
𝑒
𝑥
−
𝑒
𝑥
(
𝑥
2
+
4
)
(
𝑥
2
+
4
)
2
C.2
𝑥
𝑒
𝑥
D.𝑒
𝑥
(
𝑥
2
+
4
)
−
2
𝑥
𝑒
𝑥
(
𝑥
2
+
4
)
2
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标准答案
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思路分析
The question presents a derivative task: compute d/dx of e^x / (x^2 + 4). To approach this, recall the quotient rule: if y = u/v, then y' = (u'v − uv') / v^2.
Option 1: 'e^x 2x' — This appears to be missing the correct structure of the derivative. It does not align with the quotient rule form and lacks the complete numerator pattern that combines u'v and uv'. It is insufficient because it neither shows the subtraction of two large terms nor a denomi......Login to view full explanation登录即可查看完整答案
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