y=sin[sin(x^2)] 则dy/dx=?求详解

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y=sin[sin(x^2)] 则dy/dx=?
求详解

dy/dx相当于对x进行求导：
dy/dx = y' = 2x*cos[sin(x^2)] * cos(x^2)
由于：sinx = cosx,sin(x^2) = 2x*cos(x^2)

y=sin[sin(x^2)]
y' = cos[sin(x^2)] d/dx(sin(x^2))
= cos[sin(x^2)] . cos(x^2) .d/dx(x^2)
= 2x. cos[sin(x^2)] . cos(x^2)

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