Differentiate y= 1000000 * (1.6 ^ (0.25x))微分方程:Differentiate y= 1000000 * (1.6 ^ (0.25x))1 day ago - 1 week left to answer.

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Differentiate y= 1000000 * (1.6 ^ (0.25x))微分方程:Differentiate y= 1000000 * (1.6 ^ (0.25x))1 day ago - 1 week left to answer.
Differentiate y= 1000000 * (1.6 ^ (0.25x))
微分方程:
Differentiate y= 1000000 * (1.6 ^ (0.25x))
1 day ago - 1 week left to answer.

Differentiate y= 1000000 * (1.6 ^ (0.25x))微分方程:Differentiate y= 1000000 * (1.6 ^ (0.25x))1 day ago - 1 week left to answer.
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)]

dy/dx=250000*(8/5)^(1/4*x)*ln(8/5)

678

y的导数=1000000*0.25*ln(1.6)*1.6 ^ (0.25x)

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