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