(a) Differentiate and simplify: = *´-3x+9 x3+27 f(x) = %3D (Hint: Simplify first then differentiate)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 60E
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Derivatives and normal

x²-3x+9
(a) Differentiate and simplify: f(x) =
%3D
x3+27
(Hint: Simplify first then differentiate)
(b) () Find all of the stationary points of the function
g(x) = 2x³ + 11x² – 40x + 5
(Give both the x and y coordinates)
(i) Choose one of the stationary points and determine its nature.
(c) Find the equation of the normal line to the curve g(x) at the y-intercept
Transcribed Image Text:x²-3x+9 (a) Differentiate and simplify: f(x) = %3D x3+27 (Hint: Simplify first then differentiate) (b) () Find all of the stationary points of the function g(x) = 2x³ + 11x² – 40x + 5 (Give both the x and y coordinates) (i) Choose one of the stationary points and determine its nature. (c) Find the equation of the normal line to the curve g(x) at the y-intercept
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