Therefore, we have 9x2 + 5x + 3 y = 9x3/2 + 5x1/2 + 3x-1/2. Now, since the function is a sum of power functions, we can use the Power Rule to that according to the Power Rule, the derivative of x", where n is any real number Power Rule, we'll have to calculate the following. 3 I = 2 1 1 2

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Therefore, we have
9x2 + 5x + 3
y =
9x3/2 + 5x1/2 + 3x-1/2.
=
Now, since the function is a sum of power functions, we can use the Power Rule to find its derivative. Recall
that according to the Power Rule, the derivative of x", where n is any real number, is nx" - 1. To use the
Power Rule, we'll have to calculate the following.
3
- 1 =
1
- 1 =
2
1
- 1 =
-
Applying the Power Rule we have
y' =
|x1/2 +
x-1/2
+
Transcribed Image Text:Therefore, we have 9x2 + 5x + 3 y = 9x3/2 + 5x1/2 + 3x-1/2. = Now, since the function is a sum of power functions, we can use the Power Rule to find its derivative. Recall that according to the Power Rule, the derivative of x", where n is any real number, is nx" - 1. To use the Power Rule, we'll have to calculate the following. 3 - 1 = 1 - 1 = 2 1 - 1 = - Applying the Power Rule we have y' = |x1/2 + x-1/2 +
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