How do you use logarithmic differentiation to find the derivative of a function
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How do you use logarithmic differentiation to find the derivative of a function

[From: ] [author: ] [Date: 11-11-07] [Hit: ]
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How do you use logarithmic differentiation to find the derivative of

y = [(sqrt(x))*((e)^(x^2 - 5x))*((x^2 +1)^10)] / [(x^2 + x + 1)]

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just two formulas need to be used

d(X^n)=ndX^(n-1)

and d(e^(2x))=2(e^(2x))

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You just use the log rules. The * in the above become + and the / becomes -
So you'll get( ln a+ln b+ln c)- ln d.
Now take the dirivarive of ln x which is 1/x.
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