Derivatives of Logarithmic and Exponential Functions

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y = ln g(x)

y` = (1/g(x))×g`(x)

y = e^g(x)

y` = (e^g(x)) (g`(x))

y = a^x

y` = (ln a) × a^x

y = a^(g(x))

y` = (ln a)(a^(g(x)))g`(x)

y = log(base b)(x)

y` = 1/(x ln b)

y = ln x

y` = 1/x

y = a log(base b)(x)

y` = a/(x ln b)

y = a ln x

y` = a/x

y = ae^x

y` = ae^x

y = e^x

y` = e^x


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