(a)[6]
Find an expression in terms of $x$ and $y$ for $\frac{dy}{dx}$ and hence find the gradient of the curve at the point for which $y = 0$.
(b)[2]
Show that there is no point on the curve at which the tangent is parallel to the $y$-axis.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The curve is given by the equation $5x^2y + 4e^{2y} - 7x + 10 = 0$.