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

1 Answer

Feb 23, 2017

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

Explanation:

#f(x) = arcsin(3-x^2)#

#f'(x) = 1/sqrt(1-(3-x^2)^2) * d/dx (3-x^2)#
[Standard differential and Chain rule]

#= 1/sqrt(1-(3-x^2)^2) * (0-2x)#

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

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