Let h(x) = u(x) v(x) . (a)Using the fact that use the chain rule, the product rule,

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Let h(x) = u(x)v(x).
(a)Using the fact that 

use the chain rule, the product rule, and the formula for the derivative of ln x to show that

(b) Use the result from part (a) and the fact that

to show that

The idea of taking the logarithm of a function before differentiating is known as logarithmic differentiation.

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