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.

问题描述:

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

678

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...

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