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January 30th, 2010, 11:44 AM   #1
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Help with Differentiating

F (x) =

can some one explain what F(x) is ,is not the same as f (x), is it?
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January 30th, 2010, 11:58 AM   #2
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Re: Help with Differentiating

It's the antiderivative (think integration). To find f(x), you need to differentiate.

Since F(x) is the antiderivative, then F'(x)=f(x)

Try logarithmic differentiation.



Log of both sides:





Derivative of both sides:





But, remember what y is and sub it in:

 
January 30th, 2010, 08:29 PM   #3
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Re: Help with Differentiating

Hello, 450081592!

They can use any letter to represent a function:

[color=beige]. . [/color]


Quote:

Are you aware that there is a formula for this problem?

We have an exponential function and its base is not






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