Extreme Value Theorem The Mean Value Theorem Motion (derivatives position = velocity = acceleration = The Fundamental Theorem of Calculus Intermediate Value Theorem speed = Tue Ap 2nd FTC displacement = d (8 ( x ) dx Ja f(t) dt = cavite Point-slope form of a line total distance travelled = Area Under The Curve (Trapezoids) new position = Log Properties 1. Mean Value Theorem for 2. Integrals average velocity = (Average Value Theorem) 3. Ma speed increasing? Natural Log Values In 1 = Solids of Revolution and Friends cos Area between two curves In e = speed decreasing? in x Disk Method Exponential Growth & particle is moving left when Washer Method Decay General Solution for Exponential Growth particle moves right when General volume equation