Use Implicit Differentiation to Find the Specified Derivative at the Given

question 108

Multiple Choice

Use implicit differentiation to find the specified derivative at the given point.
-Find $\frac { \partial y } { \partial x }$ at the point $( 2,3,2 )$ for $3 x ^ { 2 } + 6 \ln x z - 4 y z ^ { 2 } + 4 e ^ { z } = 0$ .

• A) \(\frac { 9 } { 16 }\)
• B) \(- \frac { 15 } { 16 }\)
• C) \(\frac { 15 } { 8 }\)
• D) \(\frac { 15 } { 16 }\)

---

Definitions:

Return on Investment

A measure of the profitability and efficiency of an investment, calculated by dividing net profits by the cost of the investment.

Residual Income

Profit remaining after deducting all costs, including the cost of capital, usually used in managerial accounting as a performance measure.

Minimum Required Rate of Return

The lowest rate of return that a potential investment must offer to be considered acceptable, taking into account the investor's cost of capital and risk appetite.

Annual Turnover

The total sales or revenue a company generates in one year.