Question

Let f(x)=-1-x-2x2, evaluate (f(x+h)-f(x))/h.Factor out the negative sign for the final answer, if any.

Answer 1

f(x+h)=-1-x-h-2(x^2+2hx+h^2);

Subtract -1-x-2x^2: f(x+h)-f(x)=-h-4hx-2h^2;

Divide by h: -1-4x-2h=-(1+4x+2h).