Thread: need help with algebra finding derivative
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Old September 7th, 2008, 02:15 PM
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skeeter skeeter is offline
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let h = \Delta x

f(x) = x^3 - 3x + 3

f(x+h) = (x+h)^3 - 3(x+h) + 3

\lim_{h \to 0} \frac{(x+h)^3 - 3(x+h) + 3 - (x^3 - 3x + 3)}{h}

\lim_{h \to 0} \frac{x^3 + 3x^2h + 3xh^2 + h^3 - 3x - 3h + 3 - (x^3 - 3x + 3)}{h}

now, clean it up and finish finding the limit which will give you the derivative of f.
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