SOLUTION: Use logarithmic differentiation to find the derivative of the function.
y=(ln(x+8))^x
y′=
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Question 1187769: Use logarithmic differentiation to find the derivative of the function.
y=(ln(x+8))^x
y′=
Answer by Solver92311(821) (Show Source): You can put this solution on YOUR website!
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\)\)\ +\ x\,\cdot\,\frac{d}{dx}\ln\(\ln\(x\,+\,8\)\))
\)\)\ +\ \frac{x}{\ln(x\,+\,8)}\,\cdot\,\frac{d}{dx}\ln\(x\,+\,8\))
\)\)\ +\ \frac{x}{\ln(x\,+\,8)}\,\cdot\,\frac{1}{(x\,+\,8)}\,\cdot\,\frac{d}{dx}\(x\,+\,8\))
\)\)\ +\ \frac{x}{\ln(x\,+\,8)}\,\cdot\,\frac{1}{(x\,+\,8)})
\)\)\ +\ \frac{x}{\ln(x\,+\,8)}\,\cdot\,\frac{1}{(x\,+\,8)})
\,\cdot\,\[\(\ln\(\ln\(x\,+\,8\)\)\)\ +\ \frac{x}{\ln(x\,+\,8)}\,\cdot\,\frac{1}{(x\,+\,8)}\])
John
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