THE POWER RULE |
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FUNCTION FORMAT: If f (x) = xn , then f '(x) = nxn-1 |
OPERATOR FORMAT: |
d
dx |
xn |
= nxn-1 |
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For the table below, fill in the boxes in the right-most two columns. The
first 14 rows will be done in class or in an on-line exercise as examples of the power rule. The last
4 rows are left as problems on your take-home test. For several of these
problems, rules for exponents will be helpful.
This column is for use
with Section 5.1 |
FUNCTION f (x) = |
n = |
f '(x) |
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x2 |
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x3 |
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x10 |
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x |
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1 |
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1
x |
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1
x2 |
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1
x10 |
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1
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()2 |
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x |
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x
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This page last updated 8 January 2012 |
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