Use Implicit Differentiation to Find Dy/dx $$x ^ { 6 } = \cot y$$

question 240

Multiple Choice

Use implicit differentiation to find dy/dx.
- $$x ^ { 6 } = \cot y$$

• A) \(\frac { \csc ^ { 2 } y } { 6 x ^ { 5 } }\)
• B) \(\frac { 6 x ^ { 5 } } { \csc ^ { 2 } y }\)
• C) \(- \frac { 6 x ^ { 5 } } { \csc y \cot y }\)
• D) \(- \frac { 6 x ^ { 5 } } { \csc ^ { 2 } y }\)

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Definitions:

Slope

In mathematics, it refers to the steepness or incline of a line, indicating the rate at which y-values change with respect to x-values.

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The limits imposed on household choices by income, wealth, and product prices.

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