The graph of has

If  and  then  is equal to:

The following is a graph of

a function. In what domain is the function continuous?

An ice block has the shape of a cube and has its volume decreasing at a rate of 2 cm³/min. The rate at which each of the sides are decreasing in cm/min, when the sides are 2 cm, is equal to:

The equation of the normal to the curve y = cos (x/2) at the point x = π/3 is equal to:

Using implicit differentiation, the derivative of is

The derivative of equals

Using differentiation by first principles to differentiate  the limit simplifies to