Given the function , determine the coordinates of a point on f(x) where the slope of the tangent line equals the slope of the secant line that passes through A(5,10) and B(8,4)

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- Apr 10th 2011, 01:51 PMDevi09Rational average rate of change problem
Given the function , determine the coordinates of a point on f(x) where the slope of the tangent line equals the slope of the secant line that passes through A(5,10) and B(8,4)

- Apr 10th 2011, 02:10 PMpickslides
First find the slope of the secant line that passes through A(5,10) and B(8,4)

Hint:

What do you get? - Apr 10th 2011, 02:15 PMDevi09
m= (4 - 10)/(8-5)

m= -2 - Apr 10th 2011, 02:20 PMpickslides
So now solve

- Apr 10th 2011, 02:24 PMDevi09

- Apr 10th 2011, 02:41 PMpickslides
- Apr 10th 2011, 02:55 PMDevi09
- Apr 10th 2011, 03:00 PMpickslides
You need to find which is the gradient function of

via the quotient rule for differentiation.