Asked by Anonymous
Find the function that would produce a derivative of y = x. Prove your results.
Answers
Answered by
Steve
y = 1/2 x^2
y' = 1/2 * (2x) = x
In fact,
y = x^2+c
has y' = x for any constant c.
For proof, are you looking for the derivative using the definition of the limit? If so, I'm sure you've seen the work before.
y' = 1/2 * (2x) = x
In fact,
y = x^2+c
has y' = x for any constant c.
For proof, are you looking for the derivative using the definition of the limit? If so, I'm sure you've seen the work before.
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