A curve is such that $\frac{\mathrm{d}y}{\mathrm{d}x} = 4x - hx^2$, where $h$ is a con

Question

A curve is such that $\frac{\mathrm{d}y}{\mathrm{d}x} = 4x - hx^2$, where $h$ is a constant. The curve has a turning point at $(4, 5)$. Find the value of $h$. Determine the nature of the turning point. Find the range of values of $x$ for which $y$ is decreasing.

Accepted Answer

(i) $h=1$ (ii) Maximum point (iii) $x4$

Differentiation - Increasing and Decreasing Functions

Differentiation - Increasing and Decreasing Functions

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