Can you help me get started on this problem?

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- Mar 25th 2008, 06:31 PMlyzzi3Derivative Help
Can you help me get started on this problem?

- Mar 25th 2008, 06:44 PMmath_science_dude
Put $\displaystyle y = f(x) = 9^{2x}$ Take the natural logarithm of both sides to obtain $\displaystyle ln(y) = (2x)ln(9) $. Now use implicit differentiation, that is $\displaystyle \frac{1}{y}dy = 2ln(9)dx => \frac{dy}{dx} = 2yln(9) = 2ln(9)9^{2x}$. I apologize for the lack of Latex skills.

Best,

m_s_d