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Mathematics
Quick fact
The power rule d/dx(x^n) = n·x^(n-1) holds for any real constant exponent n, but it does not apply when the exponent itself is a variable (like x^x) or when both base and exponent vary.
Why this is interesting
You've learned that the derivative of x^3 is 3x^2, but what about x^x? The simple power rule fails there—why?
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Subjects · study & training · careers
Choose something you are considering. FACTREE will give you a clear picture of what it contains, how its main parts connect and where it could lead.
This private catalogue connects 31 subjects, study routes and careers across six broad areas. Public Maps and learner routes remain off.
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