By differentiating the function, we obtain 1/2x^-1/2.
What is derivative?
The term derivative is obtained from calculus. The derivative of a number can be obtained by differentiation. In this case now, we want to find the derivative of the function f(x)=√x and it has to be by differentiation.
Given that;
y = ax^n
dy/dx = n.ax^n-1
Thus to differentiate the function we have;
f(x)= x^1/2
dy/dx =1/2 . x^1/2 - 1
dy/dx =1/2x^-1/2
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