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Math Formulas > Calculus > Derivatives of Exponential and Logarithmic Functions

Derivatives of Exponential and Logarithmic Functions

Function Derivative
ax ax ∙ lna, where a is a constant
ex ex
ec∙x c∙ec∙x, where c is a constant
xx xx(1+ln(x))
log(x), where the base is 10 1/(x∙ln(10))
loga(x), where the base is a 1/(x∙ln(a))
ln(x) 1/x
f g, f and g are both functions f g(g '∙ln(f)+(g/f)∙f ')


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