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use log differentiation to find the derivative

0 votes
y=(sqrt(x) e^(x^2-x) (x^2 + 1)^(3/2))/(x^2 -4)
asked Mar 4, 2015 in CALCULUS by anonymous

1 Answer

0 votes

Step 1:

The function is .

Apply logarithm on each side.

.

Quotient rule of logarithms: .

.

Product rule of logarithms: .

Power rule of logarithms: .

Substitute value of above expression in .

Step 2:

Differentiate with respect to on each side.

image

Use the logarithmic differentiation: image.

image

Substitute in above expression.

image.

Solution: 

image.

answered Mar 4, 2015 by cameron Mentor

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