Leeland C. answered • 05/18/14

Mathematics and English expert through High School level classes

All you have to do is plug in those values of x to the point (x, (√(x)+4)) to find point Q.

In that, x is the x value of the point and we will call it x2.

(√(x)+4) is the y value and we will call it y2.

Point P is the starting point, and 9 will be x1 and 7 will be y1.

After plugging in the x values to find the different point Qs, you will take (y2-y1)/(x2-x1) for each pair of points to find the slopes of the secant lines. Then estimate the slope of the tangent line, which will be between the slopes for x=8.99 and x=9.01.

Dalia S.

i found all the slopes, however how do you go about doing part B of the question, which asks to estimate the slope of the tangent line? I would appreciate some help

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05/18/14

Leeland C.

Like I said above, the slope of the tangent will be a number between the 8.99 slope and 9.01 slope. The slopes should all be EXTREMELY close together.

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05/18/14

Dalia S.

i understand but how do you know that?

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05/18/14

Dalia S.

05/18/14