The point P(9 , 6 ) lies on the curve y = \sqrt{ x } + 3. Let Q be the point (x, \sqrt{ x }+ 3 ).
a.) Find the slope of the secant line PQ for the following values of x(Answers here should be correct to at least 6 places after the decimal point.)
If x= 9.1, the slope of PQ is:
If x= 9.01, the slope of PQ is:
If x= 8.9, the slope of PQ is:
If x= 8.99, the slope of PQ is:
b.) Based on the above results, estimate the slope of the tangent line to the curve at P(9 , 6 ).

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If x= 9.1, then what is the value of y?

Of the original function or the derivative?

original function

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