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Definition of derivativeUsing the definition of derivative , find the derivative of...
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This problem requires the definition of derivative states that:
f'(x) = lim [f(x+h) - f(x)]/h, for h->0
We'll calculate f(x+h) = 9 - 3(x+h)
We'll remove the brackets using distributive property:
f(x+h) = 9 - 3x - 3h
We'll replace the expressions of f(x+h) and f(x) in the definition of derivative:
f'(x) = lim (9 - 3x - 3h - 9 + 3x)/h , for h->0
We'll combine and eliminate like terms:
f'(x) = lim -3h/h
We'll simplify and we'll get:
f'(x) = lim -3
f'(x) = -3
Posted by giorgiana1976 on April 27, 2011 at 5:09 AM (Answer #2)
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