Kindly show working of above questionThen determine what happens when ∆x approaches 0. Created by Ian. science-mathematics-en - mathematics-en

Use Algebra to find a simple formula for the slope of the chord between (3, f(3)) and (3+∆x, f(3+∆x))?

May 2021 2 17 Report

Use Algebra to find a simple formula for the slope of the chord between (3, f(3)) and (3+∆x, f(3+∆x))?

Kindly show working of above question

Then determine what happens when ∆x approaches 0

Slope = (y2-y1)/(x2-x1) from algebra=

[f(3+∆x) -f(3)]

---------------- =

(3+∆x)-3

f(3+∆x) -f(3)

-----------------

∆x

As ∆x->0, then this expression approaches [f(3)-f(3)]/0 or 0/0.

Evaluating this limit depends on the function.

As ∆x-> 0, the chord gets closer to the tangent line , and the fraction approaches the slope of the tangent line.

Hoping this helps!