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Absolute maximum and the absolute minimum, derivatives and logarithmic differentiation.

1) Find the absolute maximum and the absolute minimum of F(x)= (x+2)/(x-2) on intervals [- 4,4].

2) Find the derivative of the following:

a- F(x)= e^(2x) x^2 + e^(-x^2)
b- F(x)= ln(x^3 - 3)^4

3) Use the logarithmic differentiation to find the derivative of :
Y= √(4+3x^2)/(x^2+1)^(1/3)
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Absolute maximum and the absolute minimum, derivatives and logarithmic differentiation are investigated. The solution is detailed and well presented.

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