Part I

a.) find the slope of the tangent lineto the graph of the function f at point $\displaystyle (x_1,f(x_1))$. b.) Find the points on the graph where the tangent line is horizontal and use these points to sketch the graph.

$\displaystyle f(x) = 2x^3 - 3x^2$

Part II

Find the indicated derivative:

$\displaystyle D_x(\frac{1}{x^2} - x)$

Hey can you use the

$\displaystyle \lim_{h\to_ 0} \frac{f(x+h) - f(x)}{h}$ to solve the formula? coz i can really get it there

Part III

Find $\displaystyle \frac{dy}{dx}:$

$\displaystyle y= \frac{4}{2x-5}$