Find the derivative of the function. y= log , (3x2 - 2x) 5/2 O A. In 9(3x- 1) (3x2 - 2х) OB. 10(3x – 1) In 9 (3x2 - 2x) Oc. 5(3x – 1) In 9 (3x2 - 2x)

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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**Question:**
Find the derivative of the function.

\[ y = \log_9 \left(3x^2 - 2x\right)^{5/2} \]

**Options:**

- **A.** \(\frac{\ln 9(3x - 1)}{(3x^2 - 2x)}\)

- **B.** \(\frac{10(3x - 1)}{\ln 9(3x^2 - 2x)}\)

- **C.** \(\frac{5(3x - 1)}{\ln 9(3x^2 - 2x)}\)

- **D.** \(\frac{5}{\ln 9(3x^2 - 2x)}\)
Transcribed Image Text:**Question:** Find the derivative of the function. \[ y = \log_9 \left(3x^2 - 2x\right)^{5/2} \] **Options:** - **A.** \(\frac{\ln 9(3x - 1)}{(3x^2 - 2x)}\) - **B.** \(\frac{10(3x - 1)}{\ln 9(3x^2 - 2x)}\) - **C.** \(\frac{5(3x - 1)}{\ln 9(3x^2 - 2x)}\) - **D.** \(\frac{5}{\ln 9(3x^2 - 2x)}\)
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