Question

-3x^2+ 3
What is the difference quotient

Answer 1

-6x - 3h

Explanation:

Write as a function.

`f(x)=-3x^(2)+3`

Consider the difference quotient formula.

`(f(x+h)-f(x))/(h)`

Find the components of the definition.

`f(x+h)=-3h^(2)-6hx-3x^(2)+3\\f(x)=-3x^(2)+3`

Plug in the components.

`(f(x+h)-f(x))/(h)=(f(x+h)=-3h^(2)-6hx-3x^(2)+3)/(h)`

Simplify

`(3h(-h-2x))/(h)`

-6x - 3h

good luck, i hope this helps :)