A rectangular garden is to be fenced on three sides using $40 m$ of fencing, with an existing wall forming the fourth side. What is the maximum possible area of the garden?

Practise more Differentiation, Stationary Points and Curve Sketching.

Free questions with an explanation for every one, and full timed Scottish Highers mock tests.

All Differentiation, Stationary Points and Curve Sketching questions Take a mock test

More Differentiation, Stationary Points and Curve Sketching questions

Differentiate $f (x) = \frac{3 x ^{4} - 2 x ^{2} + 5}{x}$ with respect to $x$ for $x \neq = 0$ .
Find the coordinates of the turning points of the curve $y = 2 x^{3} - 3 x^{2} - 12 x + 4$ .
The displacement of an object is given by $s (t) = t^{3} - 6 t^{2} + 9 t + 2$ . At what times $t \geq 0$ is the object instantaneously at rest?
Find the rate of change of the volume of a cube with side length $x$ with respect to its surface area $A$ .
The curve $y = x^{3} + a x^{2} + b x + c$ has a stationary point of inflection at $(2, 5)$ . What are the values of $a$ and $b$ ?