A function is defined parametrically by the pair of equations: $x = 3t^2 + 1$ and $y = \cos t.$ Fi...
A curve is defined by the equation $y = (x^2 + 3x + 2)\,\sin x$. Find the gradient of the tangent t...
Differentiate $y = \sqrt{x}.\sec(6x)$. You do not need to simplify your answer....
An object is travelling in a straight line. Its displacement, in metres, is given by the formula $s...
For the function below, find the range of values of $x$ for which the function is decreasing. $y = 3...