b) Let ƒ(x) = √x³ (x − 2)². (¯ - .) i) Fully explain why f(x) has an absolute minimum and an absolute maximum on the interval [-2, 16]. ii) Find the absolute minimum of f(x) on the interval [-2, 16].

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 58E
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**** **
b) Let f(x)=√x³(x - 2)².-
i) Fully explain why f(x) has an
absolute minimum and an absolute
maximum on the interval [-2, 16].
ii) Find the absolute minimum of
f(x) on the interval [-2, 16].
***
****
c) Let 5x²y² - 3√x = 4x - 2y. {
i) Using implicit differentiation find
dy
dx
ii) Find the equation of the tangent
line at P(1, 1).
*
Transcribed Image Text:**** ** b) Let f(x)=√x³(x - 2)².- i) Fully explain why f(x) has an absolute minimum and an absolute maximum on the interval [-2, 16]. ii) Find the absolute minimum of f(x) on the interval [-2, 16]. *** **** c) Let 5x²y² - 3√x = 4x - 2y. { i) Using implicit differentiation find dy dx ii) Find the equation of the tangent line at P(1, 1). *
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