Fundamentals of Differentiation

What is the average rate of change of 7 - 8x over interval [3, 10]?

What is the average rate of change of $\sqrt{x^3-4}$ over interval $[2, 5]$?

If the average rate of change of a function $g(t)$ on an interval [a,b] is given by $\frac{g(b)-g(a)}{b-a}$, what is its instantaneous rate of change at any point within that interval?

What is a normal line?

What is the average rate of change of a function f(x) between x = 2 and x = 5 if f(2) = 6 and f(5) = 15?

For an arbitrary differentiable function $h(x)$, if we examine its derivative given by $h'(x)$, what will be the effect on this derivative if $x$ is replaced with $-x$ throughout $h(x)$?

Consider the function $f(x) = 3x^2 - 2x + 1$. What is the average rate of change of $f(x)$ over the interval $[1, 4]$?

Consider the function $f(x) = x^3 + 2x - 4$. Find the slope of the secant line passing through the interval $[-1, 2]$?

The function $f(x) = 2x + 3$ represents the position of an object at time $x$. What is the average rate of change of the object's position over the interval $[2, 5]$?

What does the derivative of the function $f(x)=\sqrt{x}$ represent when evaluated at x=16?