Consider the curve represented by
- Find the gradient of the curve at any point
(2 marks) - Find the equation of the tangent to the curve at the point
and find the equation of the tangent to the curve at the point Write each equation in the form
(2 marks) - Find the acute angle between the tangent to the curve at the point
and the tangent to the curve at the point Give your answer in the form
, where is a real constant (2 marks)