Roisincleary
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I’m good with the first part of the question but don’t understand what’s being asked of me for the rest
Stuck on Q5
- Thread starter Roisincleary
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I’m good with the first part of the question but don’t understand what’s being asked of me for the rest
pka
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This question is showing the technique known as logarithmic differentiation.
Here is an example: Say \(f(x)=3^{x^2+e^x}\) We need to find \(f^{\prime}(x)\)
Well \(\log(f(x))={(x^2+e^x)}\log(3)\) the derivative of which is \(\dfrac{f^{\prime}(x)}{f(x)}=(2x+e^x)\log(3)\)
Solving for \(f^{\prime}(x)\) we get \(f^{\prime}(x)=3^{x^2+e^x}(2x+e^x)\log(3)\)
Here is an example: Say \(f(x)=3^{x^2+e^x}\) We need to find \(f^{\prime}(x)\)
Well \(\log(f(x))={(x^2+e^x)}\log(3)\) the derivative of which is \(\dfrac{f^{\prime}(x)}{f(x)}=(2x+e^x)\log(3)\)
Solving for \(f^{\prime}(x)\) we get \(f^{\prime}(x)=3^{x^2+e^x}(2x+e^x)\log(3)\)