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Question 824346: Find and simplify the difference quotient of f, f(x+h)-f(x) divided by h, h=0, for the function f(x) = (1/2)x.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Find and simplify the difference quotient of f,
f(x+h)-f(x) divided by h, h#0, for the function f(x) = (1/2)x
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Note: I changed your h=0 to h#0.
Why? You cannot divide by zero.
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f(x+h) = (1/2)(x+h) = (1/2)x + (1/2)h
f(x) = (1/2)x
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f(x+h)-f(x) = (1/2)h
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[f(x+h)-f(x)]/h = [(1/2)h]/h = 1/2
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Cheers,
Stan H.
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