Find y'". y = - 3x° (5x + 6)? O A. - 330x5 -1,800x4 - 60x .3 O B. - 3,150x5 - 5,400x4 - 2,160x3 OC. - 30x° - 180x+ - 15x* O D. - 405x - 1,080x - 540x*

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 \( y'' \).

\[ y = -3x^5 (5x + 6)^2 \]

**Options:**

- **A.** \(-330x^5 - 1,800x^4 - 60x^3\)

- **B.** \(-3,150x^5 - 5,400x^4 - 2,160x^3\)

- **C.** \(-30x^6 - 180x^5 + 15x^4\)

- **D.** \(-405x^6 - 1,080x^5 - 540x^4\)
Transcribed Image Text:**Question:** Find \( y'' \). \[ y = -3x^5 (5x + 6)^2 \] **Options:** - **A.** \(-330x^5 - 1,800x^4 - 60x^3\) - **B.** \(-3,150x^5 - 5,400x^4 - 2,160x^3\) - **C.** \(-30x^6 - 180x^5 + 15x^4\) - **D.** \(-405x^6 - 1,080x^5 - 540x^4\)
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