SOLUTION: Evaluate the difference quotient for the given function. Simplify your answer. f(x)=-x^3, difference quotient: f(a+h)-f(a) / h

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: Evaluate the difference quotient for the given function. Simplify your answer. f(x)=-x^3, difference quotient: f(a+h)-f(a) / h      Log On


   

Question 1063900: Evaluate the difference quotient for the given function. Simplify your answer. f(x)=-x^3, difference quotient: f(a+h)-f(a) / h
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
f%28a%29=-a%5E3
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f%28a%2Bh%29=-%28a%2Bh%29%5E3=-a%5E3-3ha%5E2-3h%5E2a-h%5E3
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f%28a%2Bh%29-f%28a%29=-a%5E3-3ha%5E2-3h%5E2a-h%5E3-%28-a%5E3%29
f%28a%2Bh%29-f%28a%29=-ha%5E2-3h%5E2a-h%5E3
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%28f%28a%2Bh%29-f%28a%29%29%2Fh=%28-ha%5E2-3h%5E2a-h%5E3%29%2Fh
%28f%28a%2Bh%29-f%28a%29%29%2Fh=-a%5E2-3ha-h%5E2