A 16 foot ladder is leaned up against a building. If the ladder is 9 feet away from the building (at the ground) then how high u
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a. By the product rule,
b. By the same rule,
and
c. You might recognize the coefficients as those that appear in the expansion of :
1, 1
1, 2, 1
1, 3, 3, 1
1, 4, 6, 4, 1
and so on; the general pattern (known as the general Leibniz rule) is