How do you find the slope of a tangent line

Urdorfs4u

Urdorfs4u

Answered question

2022-02-11

How do you find the slope of a tangent line using secant lines?

Answer & Explanation

Bordadwayjpf

Bordadwayjpf

Beginner2022-02-12Added 17 answers

The slope of a tangent line can be approximated by the slope of a secant line with one of the end point coincides with the point of tangency. So, if the slope of the secant line from a to a+h is
f(a+h)f(a)h,
then we can better approximate the slope of the tangent line by the slope of secant line by making h smaller and smaller. Hence, we can find the slope of the tangent line m at x=a by
m=limh0f(a+h)f(a)h

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