<p>A curve is such that $\frac{\mathrm{d}y}{\mathrm{d}x}=4x-h{{x}^{2}}$ where $h$ is a constant.  Given that the curve has a turning point at $\left( 4,5 \right)$,</p>
<ol class="abc-list"><li><div class="list-item-paragraph">show that the value of $h$ is $1$.</div></li><li><div class="list-item-paragraph">find the range of values of $x$ for which $y$ is an increasing function.</div></li></ol>

A curve is such that $\frac{\mathrm{d}y}{\mathrm{d}x}=4x-h{{x}^{2}}$ where $h$ is a constant.  Given that the curve has a turning point at $\left( 4,5 \right)$,

find the range of values of $x$ for which $y$ is an increasing function.

Applications of Differentiation

Question 0863f425