Application of Derivatives
Tangents and Normals
Premium Question
Grade 12
Question:
The number of points on the curve $y = \sin x$, $x \in [0, 2\pi]$, at which the tangent is parallel to the $x$-axis equals _____.
Step-by-Step Solution
Key Concept: Solve $\frac{dy}{dx} = \cos x = 0$ for $x$ in the given interval, and count the number of solutions.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer: 2