SOLUTION: For the function f(t)=sqrt t , compute the difference quotient f(t+h)-f(t)/(t+h)-t, and rationalize the numerator so that the denominator is not zero when h approaching zero

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Question 1130009: For the function f(t)=sqrt t , compute the difference quotient f(t+h)-f(t)/(t+h)-t, and rationalize the numerator so that the denominator is not zero when h approaching zero
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!






Note that the numerator is the factorization of the difference of two squares:





So when tends to zero, the denominator becomes


John

My calculator said it, I believe it, that settles it