Part IV$$Creating the Derivative

The derivative of a function is written as $f^{\text{'}}(x)$read$f$ prime of $x$

This new function gives the value of the slope of the curve$$of the graph of $f(x)$at any given $x$value$$

What does $h$ represent in terms of the two points that form the secant line$$

$1$ lis

$$

Why would we want to let the value of $h$ approach zero$$

If $,f^{\text{'}}(x)=\underset{h0}{lim}\frac{f(x+h)-f(x)}{h}$use your work from Part II and III to find the derivative for $f(x)$

$7f(x)=3x^2+1$

$8f(x)=\sqrt[\phantom{2}]{-4x+5}$