Mathematics

Problem

1. Given that

x^2 - 3y^3 = 20

, find an expression for

\frac{dy}{dx}

in terms of

x

and

y

. 2. Find the gradient of the curve with equation

x \sin y + y \cos x = \frac{\pi}{2}

at the point

\left(0, \frac{\pi}{2}\right)