Question

Given that , , find, in their simplest form,

a.  

b.   .

Solution

a.
 

We are given;

We are required to find .

Gradient (slope) of the curve is the derivative of equation of the curve. Hence gradient of curve  with respect to  is:

Therefore;

Rule for differentiation is of  is:

Rule for differentiation is of  is:

b.
 

We are required to find;

Rule for integration of  is:

Rule for integration of  is: