Explain the following slides, what's being done in them. Explain in detail please like how you would teach them

TOPIC: The Derivative and the Slope of the Tangent Line to a Curve Differentiability at a Number and on an Interval

Consider some function f that is defined on some interval containing the number 3. Locate the point P(a= f(a)) on the graph of the function. .U P{r1.f[}) We want to find the slope of the line tangent, denoted by mm\Consider a + h for some h 71$ 0. This number is either to the right of a (if h > O) or to its left (if h 0, the distance between points P and Q becomes very small and eventually the secant line becomes the tangent line to the graph of f at the number a. P(a, f(a)) y = f(x) a