Math 157 Test 2

Math 157 Test 2
DZ - Ans-Derivative Zero; the derivative of a constant is 0 (eg horizontal lines have 0 slope)



D+A - Ans-Differentiation distributes over addition



DC - Ans-Differentiation commutes with multiplication by numbers



Power Rule - Ans-if f(x) = x^a, with a not = 0,

then f'(x) = ax^a-1



Product Rule - Ans-if f(x) = g(x) * h(x),

then f'(x) = g'(x) * h(x) + g(x) * h'(x)



Chain Rule - Ans-if f(x) = g(h(x)),

then f'(x) = g'(h(x)) * h'(x)



Quotient Rule - Ans-if f(x) = g(x) / h(x),

then [ g'(x) * h(x) - g(x) * h'(x) ] / [ h(x) ]^2



Marginal Cost - Ans-cost of producing 1 additional unit



Marginal Revenue - Ans-revenue from 1 additional sale



Marginal Profit - Ans-profit from one additional unit



A negative marginal profit means the company is losing money

T/F - Ans-False