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What is the derivative of #arcsin(3-x^2)#?

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Jun 7, 2015

The derivative for #arcsinu# is:

#d/(dx)[arcsinu(x)] = 1/(sqrt(1-u^2))*(du(x))/(dx)#

#d/(dx)[arcsin(3-x^2)] = 1/(sqrt(1-(3-x^2)^2))*(-2x)#

#= -(2x)/(sqrt(1-(3-x^2)^2))#

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