Use Implicit Differentiation to Find the Specified Derivative at the Given

question 201

Multiple Choice

Use implicit differentiation to find the specified derivative at the given point.
-Find $\frac { \partial y } { \partial x }$ at the point $\left( 1,4 , e ^ { 7 } \right)$ for $\ln ( x z ) y + 6 y ^ { 3 } = 0$ .

• A) \(\frac { 295 } { 4 }\)
• B) \(- \frac { 295 } { 4 }\)
• C) \(- \frac { 4 } { 295 }\)
• D) \(\frac { 4 } { 295 }\)

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Definitions:

Yards

A unit of length equal to 3 feet or 0.9144 meters, often used in measuring distances.

Foot

A unit of measurement equal to 12 inches or 0.3048 meters.

Grams

A metric unit of mass equal to one thousandth of a kilogram, commonly used to measure small quantities of substances.

Milligrams

A unit of mass equal to one thousandth of a gram, used in measuring small quantities of mass.