Part 3 of 4Using the factorization x – 36 = (/x – 6)(/x + 6), we have9 – x^x→36 (/x - 6)(/x + 6)Vx – 6mtanlim%3D1lim(Vx+ 6)VI+6X→36= 1/121/12Part 4 of 41and that (36, 6) is a point on the line.12So we found that the slope of the tangent line at x = 36 is%3DSubstituting these values into the point-slope formula y – Yo = m(x – x0), we havey – Yo = m(x – xo)y – 6 =-(х - 36)12|Solving this for y, we can conclude that the equation of the tangent line to f(x) = Vx at x = 36 is%3Dy =

f(x) = x f(x) = y = x ....................(1) x = 36 To find: Equation of tangent line to…

So we found that the slope of the tangent line at x = 36 is 12 , and that (36, 6) is a point on the line. Substituting these values into the point-slope formula y - Yo = m(x - xo), we have y-Yo = m(x – xo) y - 6 = (x- 36) 12 Solving this for y, we can conclude that the equation of the tangent line to f(x) = Vx at x = 36 is %3D y =

So we found that the slope of the tangent line at x = 36 is 12 , and that (36, 6) is a point on the line. Substituting these values into the point-slope formula y - Yo = m(x - xo), we have y-Yo = m(x – xo) y - 6 = (x- 36) 12 Solving this for y, we can conclude that the equation of the tangent line to f(x) = Vx at x = 36 is %3D y =

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.10: Partial Fractions

Problem 12E

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