What is the slope of the line tangent to y fx as the point

Question

Consider the function F(x) -14 - 9x². In what follows, h is a formal variable.

Express F(10 + h) as a polynomial in h.

The rational expression F(10+h)- F(10) / h simplifies to a polynomial in h.

What is the slope of the line tangent to y = F(x) as the point (10, - 886)?

Treat x and h as two variables. Express as F(x + h)-F(x) / h as a polynomial in two variables x and h.

The instantaneous rate of change in F(x) at input x is given by the formula