Use Implicit Differentiation to Find Dy/dx $y \sqrt { x + 1 } = 4$

question 476

Multiple Choice

Use implicit differentiation to find dy/dx.
- $y \sqrt { x + 1 } = 4$

• A) \(- \frac { y } { 2 ( x + 1 ) }\)
• B) \(- \frac { 2 y } { x + 1 }\)
• C) \(\frac { 2 y } { x + 1 }\)
• D) \(\frac { y } { 2 ( x + 1 ) }\)

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Definitions:

Moral Character

The existence or display of virtues and ethical traits that are part of a person's nature and actions.

Right Reason

The appropriate or justified rationale that aligns with logical, ethical, or moral correctness, guiding decisions or actions.

Right

Entitlements or freedoms that individuals are allowed by law or moral principles.

Emmanuel Kant

A German philosopher who profoundly influenced modern philosophy with his works on ethics, aesthetics, and epistemology, particularly known for his theory of the moral imperative.