Find the Derivative of Y with Respect to the Appropriate $$y = \sinh ^ { - 1 } ( \cos x )$$

question 76

Multiple Choice

Find the derivative of y with respect to the appropriate variable.
- $$y = \sinh ^ { - 1 } ( \cos x )$$

• A) \(\frac { - \sin x } { \sqrt { 1 + \cos ^ { 2 } x } }\)
• B) \(\frac { 1 } { \sqrt { 1 + \cos ^ { 2 } x } }\)
• C) \(- \sin x\)
• D) \(\frac { - \sin x } { \sqrt { 1 + x ^ { 2 } } }\)

Identify key Supreme Court cases related to religious freedom and their outcomes.

Understand the concept of separation of church and state and its legal and historical basis.

Understand the concept of prior restraint and its relevance to freedom of expression.

Articulate the principles of religious freedom and the state’s limitations in restricting religious practices.

---

Definitions:

Intercepts

Points where a graph intersects the axes; the x-intercept is where the graph crosses the x-axis, and the y-intercept is where it crosses the y-axis.

Parabola

A specific type of curve on a graph, represented by a quadratic function, characterized by its symmetric shape which can open upwards or downwards.

Graph

A visual representation of data or mathematical functions typically consisting of points on a coordinate plane.

Standard Form

A way of writing numbers, particularly very large or very small numbers, using powers of ten; also refers to a canonical form of equations in mathematics.