# Polynomials and their Gradient Functions

- Author:
- Nicholas Turner

- Topic:
- Differential Calculus, Functions

What type of function is the gradient function of the quadratic function

Move the sliders a, b and c to change the coefficients of which ones affect the derivative function.

What is the connection between the value of a (the x squared coefficient) and the gradient function?

What is the connection between b (the coefficient of x in the function) and the gradient function?

What is the connection between the value of c (the y -intercept of the function) and the gradient function?

What type of function is the gradient function of the cubic function ?

Move the sliders a, b, c and d to change the coefficient

What is the connection between the value of a and the derivative function?

What is the connection between the value of b and the gradient function?

What is the connection between the value of c and the gradient function?

What is the connection between the value of d and the gradient function?