Question

The graph of a certain function f has the slope 4x³ − 5 at each point (1,2). Find the function f.

Answer 1

Question

The graph of a certain function f has the slope 4x³-5 at each point (1,2) find the function f

Solution      

We are given the slope

integrating both sides of the equation, we have 

To get c, substitute values of x and y given by point (1,2)

therefore, function f is given as