exponential and log

Proof: d/dx(x^n)

by Sal Khan
This video proves the rule for differentiating a variable to a power.
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This video derives the rule for differentiating fractional powers.
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This video extends differentiating to negative powers, and proves it.
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This video extends differentiation to the exponential function.
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This video formally proves the derivative of the exponential and its inverse, the ln.
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This video proves the rule for differentiating a variable power.
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This video shows the solution to an advanced word problem sent by a reader.
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