(a)[3]
Determine $\frac{dy}{dx}$.
(b)[3]
At the point where $x = 2$, the tangent to the curve crosses the y-axis at the point $(0, p)$. Determine $p$.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The curve is defined by the equation $y = x \tan^{-1}\left(\frac{1}{2}x\right)$.