Y = Sin X Cos X

question 44

Multiple Choice

y = sin x cos x. Find the formula for dy.

• A) dy = -sin x cos x dx
• B) dy = (-sin ²x + cos ²x) dx
• C) dy = -sin ²(x + dx) + cos ²(x + dx)
• D) dy = (-sin ²(x + dx) + cos ²(x + dx)) - (-sin ² x + cos ²x)
• E) dy = sin (x +dx) cos (x +dx) - sin x cos x

---

Definitions:

Representativeness Heuristic

A cognitive shortcut that involves making judgments about the probability of an event under uncertainty, based on how much it resembles the typical case.

Three-Number Sequence

A specific arrangement of three numbers that follows a particular rule or pattern, often used in cognitive and psychological testing.

Confirmation Bias

The tendency to search for, interpret, favor, and remember information in a way that confirms one's preexisting beliefs or hypotheses.

Communication Episode

A specific instance of communication that includes a series of interactions and the context in which it takes place.