# calculus

posted by vicki

f(x)=X^3, f(a+h)-f(a)/h

thanks

1. Reiny

(a+h)^3 = a^3 + 3a^2h + ah^2 + h^3)

so [f(a+h) - f(a)]/h
= [a^3 + 3a^2h + 3ah^2 + h^3 - a^3]/h
= 3a^2 + 3ah + h^2

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