Use Implicit Differentiation to Find $\frac { \delta z } { \delta x }$

question 92

Essay

Use implicit differentiation to find $\frac { \delta z } { \delta x }$ on the surface given by $x ^ { 3 } y + y ^ { 2 } z ^ { 2 } + x z ^ { 3 } = 3$ .

---

Definitions:

Internal Rate

is often a shortened form referring to the Internal Rate of Return (IRR), which estimates the profitability of potential investments.

Net Present Value

A financial metric that calculates the difference between the present value of cash inflows and outflows over a period of time to evaluate the profitability of an investment.

Preference Decision

A decision in which the acceptable alternatives must be ranked.

Minimum Required

The least amount that must be maintained or achieved in a specific scenario, such as a bank balance or stock level.