Derivative x+sqrt(x)

  • Thread starter synergix
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  • #1
synergix
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Homework Statement



Find the derivative of the function using the definition of derivative. state the domain of the function and the derivative.

f(x)= x +sqrt(x)

The Attempt at a Solution



lim f(x)= [x+h+sqrt(x+h) -x -sqrt(x)]/h
h-->0

limf(x)=[h + sqrt(x+h) - sqrt(x)]/h
h->0

not sure how to proceed?
 

Answers and Replies

  • #2
LCKurtz
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Separate out the h/h term and rationalize the numerator in what is left.
 

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