# Calc Mid term

 The flashcards below were created by user jazzybeatle on FreezingBlue Flashcards. how does the number of primes affect differentation? number of primes = number of times we differentiate f(x) =x^5-3x^3+8x^2-5x+10 find f'(x) 5x^4-9x^2+16x-5 f''(x) -> f(x)=x^5-3x^3+8x^2-5x+10 5(4x^3)-9(2x)+16 -> 20x^3-18x+16 f'''(x) ->x^5-3x^3+8x^2-5x+10 60x^2-18 F''''(x) -> x^5-3x^3+8x^2-5x+10 60(2x) -> 120x 4 Step Method for solving derivative 1. F(x+h) -> replace all x in function w/(x+h)2. f(x+h)-f(x) -> subtract the original function3. f(h+h)-f(x)/h -> divide by h4. take limit -> plug in 0 for all h in terms of demand & supply, when is the equilibrium graphically? where the demand curve and supply curve intersect how do you find equilibrium? add the equations of the supply & demand & solve when = to 0 Break even point Break-Even Point = FixedCosts/(1-VariableCosts/Sales how do you find a limit? plug in numbers approaching the limit defined by the function. domain: possible numbers that can make sense for the solution informal definition of limit plugging a series of numbers in close to the limit as trial/error. how do you graphically tell where the limit is? where the 'hole' in the graph is how to find limit plug in the limit into the function what does lim/x->0+ =1 mean? as the right hand limit approaches 0, 1 is the closest it can get lim/x->a=l only if? lim/x->a+ AND limt/x->a- a function is not graphically continuous when? you are not able to complete the graph without lifting the pencil a function is continuous if? 1. f(a) is defined2. lim/x->a exists3. lim/x->a=f(a) formal definition fo continuity A function f is continuous at x = x0 if exists and is f(x0). formula for average rate of change f(b)-f(a)/b-a what relation does the slop of the secant line have to the rate of change? quantity increases at the rate of the value of m limit definition of derivative: f(x+h)-f(x)/h f'(a) representa what of the tangent line? the slope what is the difference between avg rate of change & instantaneous rate of change? instant = specific point of change, avg = general change 1. what is the rate of change of f(x) when x=a? 2. at what rate is f(x) growing/increasing/decreasing/changing when x=a 3. how is f(x) fast/quickly grow/increas/decreas/chang when x=a the same way of asking rate of change Authorjazzybeatle ID62400 Card SetCalc Mid term Descriptionstuff Updated2011-01-29T20:38:24Z Show Answers