Find the value of the derivative (if it exists) at the indicated extremum. f(x) - - 3xVx + 2 10 -2 -5 -1아 Step 1 The minimum and maximum of a function on an interval are the extreme values, or extrema (the singular form of extrema is extremum), of the function on the interval. In the given problem, the extremum occurs when x = The specified function is f(x) = -3x/x + 2 = -3x(x + 2)1/2. Differentiate f(x) using the product rule. f "(x) = -3x|| Icx + 2_ ]× )

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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Find the value of the derivative (if it exists) at the indicated extremum.
3
f(x) = - 3xVx + 2
10
5
-2
4
-5
- 10
Step 1
The minimum and maximum of a function on an interval are the extreme values, or extrema (the singular form of extrema is extremum), of the function on the interval. In the given problem, the
-4
extremum occurs when x =
The specified function is f(x) = -3xx + 2 = -3x(x + 2)/2.
Differentiate f(x) using the product rule.
(x + 2)1/2 .
f '(x) = -3x
(x + 2)
+
Transcribed Image Text:Find the value of the derivative (if it exists) at the indicated extremum. 3 f(x) = - 3xVx + 2 10 5 -2 4 -5 - 10 Step 1 The minimum and maximum of a function on an interval are the extreme values, or extrema (the singular form of extrema is extremum), of the function on the interval. In the given problem, the -4 extremum occurs when x = The specified function is f(x) = -3xx + 2 = -3x(x + 2)/2. Differentiate f(x) using the product rule. (x + 2)1/2 . f '(x) = -3x (x + 2) +
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