Inverse functions

For the following two (02) items: 

Direction for Questions (117-118): Consider the following for the two (02) items that follow:

 The slope of the tangent of the curve y = f(x) at (x, f(x)) is 4 for every real number x and the curve passes through the origin.

 What is the area bounded by the curve the x-axis and the line x = 4?

Direction for Questions (117-118): Consider the following for the two (02) items that follow:

The slope of the tangent of the curve y = f(x) at (x, f(x)) is 4 for every real number x and the curve passes through the origin.

 What is the nature of the curve?

Direction for Questions (115-116): Consider the following for the two (02) items that follow: Let (x + y^{)p + q} = x^py^p, where p, q are positive integers.

If p + q = 10, then what is dy/dx equal to?

Direction for Questions (115-116): Consider the following for the two (02) items that follow: Let (x + y^{)p + q} = x^py^p, where p, q are positive integers.

The derivative of y with respect to x: