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Use logarithmic differentiation to find the derivatives.

0 votes
F(x)= (1/ x +1) ^x
asked Dec 1, 2014 in CALCULUS by anonymous

1 Answer

0 votes

The function is image.

Apply logarithmicon both sides

image

image           (Using lograithmic properties image)

Apply Derivative on both sides.

image    (Using lograithmic differentiation image)

image

image   (Using differentiation rule image)

image

image

image

image

image

Therefore the derivative of the function is image.

answered Dec 1, 2014 by Lucy Mentor

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