$\text { Let } w = \cos ( 4 x - 4 y ) \text {, where } x = t ^ { 9 } \text { and } y = 3 \text {. Find } \frac { d w } { d t } \text {. }$

question 109

Multiple Choice

$\text { Let } w = \cos ( 4 x - 4 y ) \text {, where } x = t ^ { 9 } \text { and } y = 3 \text {. Find } \frac { d w } { d t } \text {. }$

• A) \(\frac { d w } { d t } = 12 \sin \left( 4 t ^ { 9 } - 12 \right) t ^ { 8 }\)
• B) \(\frac { d w } { d t } = - 36 \sin \left( 4 t ^ { 9 } - 12 \right) t ^ { 8 }\)
• C) \(\frac { d w } { d t } = 9 \sin \left( 4 t ^ { 9 } - 12 \right) t ^ { 8 }\)
• D) \(\frac { d w } { d t } = 36 \sin \left( 4 t ^ { 9 } - 12 \right) t ^ { 8 }\)
• E) \(\frac { d w } { d t } = - 12 \sin \left( 4 t ^ { 9 } - 12 \right) t ^ { 8 }\)

---

Definitions:

Stockholders' Equity

The ownership interest of shareholders in a corporation, calculated by subtracting liabilities from the assets, representing the residual value.

Balance Sheet Accounts

Accounts that appear on the balance sheet, representing a company's assets, liabilities, and equity at a specific point in time.

Stockholders' Equity

Represents the ownership interest of investors in a corporation, calculated as total assets minus total liabilities.