21 Let f(x) x The slope of the tangent line to the graph of f(x) at the point The equation of the tangent line to the graph of f(x) at (- 5, m and b= Hint: the slope is given by the derivative at x = f(-5+h)-f(-5) h lim h→0 - 5, ie. 5, 21 5 27/1) is 5 is y = mx + b for Get a common denominator in the numerator and it will then be able to eliminate the h from the denominator.

9. For each of the following functions: a)Find an equation of the tangent line to the curve at the given point and b) find the values of x for which the tangent line is horizontal. i) f(x)=x* - x² at the point (1, 0) ii) g(x) = at the point (2, -1/2) iii) w(x) = 1 at x=-1 1+x? iv) s(t) = tan t t=0 and t= T 4. %3D

How Derivatives affect the shape of a graph. Sketch a single function f(x) that has all of the following properties.

FIND AN EQUATION OF THE TANGENT LINE TO THE GRAPH OF AT THE GIVEN POINT.