Use the definition of derivatives to find the derivative of sqrt(x)
Solution:
Multiplying by a conjugate can be a useful strategy and it helps in this problem. We also notice that sqrt(2) is only defined for real numbers greater than or equal to 0 (for calculus). This means the absolute value of an expression is also greater than or equal to 0. In the denominator we must be careful not to multiply because factoring out the delta-x is easier.
Solution:
Multiplying by a conjugate can be a useful strategy and it helps in this problem. We also notice that sqrt(2) is only defined for real numbers greater than or equal to 0 (for calculus). This means the absolute value of an expression is also greater than or equal to 0. In the denominator we must be careful not to multiply because factoring out the delta-x is easier.
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