Differentiate y= 1000000 * (1.6 ^ (0.25x))微分方程：Differentiate y= 1_数学解答

Differentiate y= 1000000 * (1.6 ^ (0.25x))
微分方程：
Differentiate y= 1000000 * (1.6 ^ (0.25x))
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人气：125 ℃　时间：2020-01-09 06:49:39

解答

y = 1000000×[1.6^(¼x)]= 1000000×e^{ln[1.6^(¼x)]}= 1000000×e^[(¼x)ln1.6]dy/dx = 1000000×{e^[(¼x)ln1.6]}×¼ln1.6= 250000×{e^[(¼x)ln1.6]}×ln1.6= 250000×[1...