A curve has the equation $y = \frac{ax^2 + x}{2x - 1},$ where $a$ is a constant and \(a\not

Question

A curve has the equation $y = \frac{ax^2 + x}{2x - 1},$ where $a$ is a constant and $a\notin\{0,-2\}$. Find, respectively, the range of values of $a$ such that the gradient of the curve is always non-positive, and there exists at least one point on the curve at which the tangent to the curve is parallel to the $x$-axis.

Accepted Answer

(i) $-20$

Differentiation - Increasing and Decreasing Functions

Differentiation - Increasing and Decreasing Functions

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