Exponential and logarithmic derivatives (d/dx e^x = e^x; d/dx ln x = 1/x; d/dx a^x = a^x ln a)

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d/dx e^x = e^x; d/dx ln x = 1/x; d/dx a^x = a^x ln a

What each symbol means

SymbolWhat it stands for
apositive constant

When to use this

ln x for x>0; |x| variant piecewise