$$\text { Find } \frac { d y } { d x }$$

question 83

Multiple Choice

$$\text { Find } \frac { d y } { d x }$$
- $\ln y = e ^ { y } \cos 3 x$

• A) \(- 3 y e ^ { y } \sin 3 x\)
• B) \(e ^ { y } \cos 3 x - 3 e ^ { y } \sin 3 x\)
• C) \(\frac { y e ^ { y } \sin 3 x } { 1 - e ^ { y } \cos 3 x }\)
• D) \(\frac { - 3 y e ^ { y } \sin 3 x } { 1 - y e ^ { y } \cos 3 x }\)

---

Definitions:

Variable Substitution

In mathematics, this involves replacing variables with other variables or values to simplify expressions or solve equations.

Mathematical Expression

A combination of numbers, operations, and sometimes variables that represents a mathematical relationship or value.

Exponentiation

The mathematical operation involving the raising of a number to the power of another number.

Mathematical Expression

A combination of numbers, operations, and symbols forming a meaningful equation or inequality.