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g(x) = xarcsin(x/2)
g'(x)
=arcsin(x/2) + { x/√[1- (x/2)^2] } (1/2)
=arcsin(x/2) + (1/2)[ 1/√(4- x^2) ]
h(x)=√(4-x^2)
h'(x)
=(1/2)(4-x^2)^(-1/2) .(-2x)
=-x/√(4- x^2)
y=xarcsin(x/2) +√(4-x^2)
y'=arcsin(x/2) + (1/2)[ 1/√(4- x^2) ] -x/√(4- x^2)
g'(x)
=arcsin(x/2) + { x/√[1- (x/2)^2] } (1/2)
=arcsin(x/2) + (1/2)[ 1/√(4- x^2) ]
h(x)=√(4-x^2)
h'(x)
=(1/2)(4-x^2)^(-1/2) .(-2x)
=-x/√(4- x^2)
y=xarcsin(x/2) +√(4-x^2)
y'=arcsin(x/2) + (1/2)[ 1/√(4- x^2) ] -x/√(4- x^2)
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