I have no idea what to do with this. I started with log differentiation but ran into a problem when dealing with the arcsin(7^x) y=[arcsin(7^x)]^x Lny = xLn[arcsin(7^x)] = x (1/arcsin(7^x)) * d/dx (arcsin(7^x)) ?
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Originally Posted by bgonzal8 I have no idea what to do with this. I started with log differentiation but ran into a problem when dealing with the arcsin(7^x) y=[arcsin(7^x)]^x Lny = xLn[arcsin(7^x)] = x (1/arcsin(7^x)) * d/dx (arcsin(7^x)) ? $\displaystyle \frac{d}{dx}\arcsin{7^x}=\frac{1}{\sqrt{1-(7^x)^2}}\cdot\frac{d}{dx}[7^x]$
Oh yeah duh.. then d/dx [a^x] = a^x Ln (a) So is this right? y = [arcsin(7^x)]^x * [(x/arcsin(7^x))] * [(7^xLn(7))/sqrt(1-(7^x)^2)]
Originally Posted by bgonzal8 Oh yeah duh.. then d/dx [a^x] = a^x Ln (a) So is this right? y = [arcsin(7^x)]^x * [(x/arcsin(7^x))] * [(7^xLn(7))/sqrt(1-(7^x)^2)] Don't forget that you are using logarithmic differentiation.
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