Descartes described a modified method of tangents in a June 1638 letter to Hardy. We might describe his method as follows: Let our graph be that of y = f(x). To make the line y = m(x - xo) + yo tangent to the graph of y= f(x) at(xo, yo), find m so the system of equations has a repeated root at x = 20. E A B C F y = x² at at x =a. Use Descartes's method to find the slope of the tangent line to y =

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.8: Linear And Quadratic Functions
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Descartes described a modified method of tangents in a June 1638 letter to Hardy. We might describe his
method as follows: Let our graph be that of y = f(x). To make the line y = m(x - xo) + yo tangent to
the graph of y= f(x) at(xo, yo), find m so the system of equations has a repeated root at x = xo.
E
A
B
C
F
Use Descartes's method to find the slope of the tangent line to y
= x² at x = a
Transcribed Image Text:Descartes described a modified method of tangents in a June 1638 letter to Hardy. We might describe his method as follows: Let our graph be that of y = f(x). To make the line y = m(x - xo) + yo tangent to the graph of y= f(x) at(xo, yo), find m so the system of equations has a repeated root at x = xo. E A B C F Use Descartes's method to find the slope of the tangent line to y = x² at x = a
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