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 =
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
Problem 31WE
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0d8d0c97-e66d-424a-9c52-d4c7d8464ad8%2Fd7c0142f-bea2-4db5-8001-519162aea487%2F1ad8iw8_processed.jpeg&w=3840&q=75)
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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