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Math Foundations
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Calculus
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Derivatives
Derivatives
Derivatives and rates of change.
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completed
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easy
Derivative of Natural Log
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The derivative of f(x) = log(x) for x > 0 is what?
A
x·log(x), multiplying by x since differentiation scales logarithmic functions
B
1/x, decreasing as x grows reflecting the flattening of the log curve
C
1/(x·log(x)), applying the chain rule to the nested logarithmic structure
D
log(x-1), shifting the argument by one since differentiation reduces polynomial arguments
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