Differentiate y= 1000000 - 知识问答

Differentiate y= 1000000 * (1.6 ^ (0.25x))

4个回答

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×[1.6^(¼x)]×ln1.6
≈117500.9073×[1.6^(¼x)]

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