(a)[3]
Show that the curve does not contain any point whose $y$-coordinate equals $e^{-1}$.
(b)[6]
Find the tangent’s equation to the curve at the point $(2, e^2)$. Present your answer in the form $y = mx + c$, with $m$ and $c$ as exact constants.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The curve is given by the equation $(x^2 - 3)\ln y + 6x = 14$.
Worked solution & mark scheme
This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Put $y=e^{-1}$ into the equation and reduce it to a quadratic equation in $x$.” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI