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Use logarithmic differentiation to find the derivative of the function.

0 votes
Use logarithmic differentiation to find the derivative of the function.

y = x^x
asked Jan 27, 2015 in CALCULUS by anonymous

1 Answer

0 votes

Step 1 :

The function is image.

Apply logarithm on each side.

image

Differentiate above equation implicitly with respect to x.

image

Use the formula : image.

image

Substitute image in above equation.

image

Solution :

image

answered Jan 27, 2015 by Thomas Apprentice
edited Jan 28, 2015 by bradely

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