A streamline of fluid flow in a microfluidic device follows a path described by the curve with equation

3y^2 + 8x = 3ye^{-4x}

Find $dydx\frac{dy}{dx}$ in terms of $x$ and $y$ .

The path crosses the vertical axis at the origin and at a point $P$ .

Find the equation of the normal to the streamline at $P$ , writing your answer in the form $y = m x + c$ where $m$ and $c$ are constants to be determined.

A streamline of fluid flow in a microfluidic device follows a path described by the curve with equation

3y^2 + 8x = 3ye^{-4x}

Find $dydx\frac{dy}{dx}$ in terms of $x$ and $y$ .

The path crosses the vertical axis at the origin and at a point $P$ .

Find the equation of the normal to the streamline at $P$ , writing your answer in the form $y = m x + c$ where $m$ and $c$ are constants to be determined.

Differentiation

Question 616

Markscheme

Differentiation

Question 616

Markscheme

Differentiation

Question 616

Differentiation Questions

Differentiation

Question 616

Differentiation Questions