4 focus : the anti derivative anti derivatives given. F f we say that f- is the derivative of. I an infinite family of derivatives for any constant f f - c) All the anti derivatives of fare of the form. F - c c is a constant the derivative does not know where the function intersects the y-axis derivative function. O increasing decreasing increases decreases critical value concave up concave down. 2nd derivative f- ) concave down if the derivative goes from . rt ) f- It ) r t ) f- i local. Max . local min . inflection point inflection point finding the anti derivative using. Calculus if we know frat we can estimate ffb ) by computing the definite integral f- (b) fab flex )dx fra ) I . suppose that fro ) =l . then. 5 f- (2) area b/w f (4) area b/w. F of frxl e satisfying fro ) -