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Math
Calculus
mat 108 true and false
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Terms in this set (30)
the estimate of incremental change is given by the equation triangle f =f1 (x0) triangle x
True
the graph of f(x) = -3x^3+3x^2-3 / 3x^2 - 3x+3 has a horixontal asymptote at y=0
False
f11(x) is used to determine the rate of change of f(x)
True
The actual marginal cost of producing the q0th unit is given by c(q0) - C(q0-1)
True
Profit is maximized when average cost equals marginal cost
False
Demand is price inelastic when a large change in price results in a small change in quantity demanded
True
On the interval a < x< b absolute extrema can only occur at a,b or some relative extrema in the interval
True
If f1(x) = 0 then x is not in the domain f(x)
False
The graph of f(x) = p(x) / Q(x) has a vertical asymptote at x if Q(x) = 0 and P(x)= 0
False
If f1(c) = 0 and f11(c) > 0 then f(x) has a relative minimum at x=C
True
If lim x--> infinity , f(x) =L then the graph of f(x) has a vertical asymptote at x=L
Flase
ln (xe)^4 = 4lnx + 4
True
(3a + 2b) ^2 = 9a^2 + 4b^2
False
Given some function f the instantaneous rate of change at x=c is given by f1(c)
True
limit x approaches 0 , f(x+h) - f(x) / h is the rate of change at any point in the domain of f
True
ln y / ln z = ln y -ln z
False
If the function f is a polynomial then lim x approaches c f(x) = f(c)
True
if f(x) =c where c is a constant the f1(x) = 0 for all values of x
True
Square root of x+h - square root of x = h / square root of x+h + square root of x
True
If a is not in the domain of f(x) then limiy f(x) never exists
False
the derivative of the function f(x) = x^e is f1(x) = x^e
False
f(x) = e^x is the only function where the derivative of the function is equal to the value of the function for every x
False
The tangent to the graph of a function f is horizontal everywhere that df/dx = 0
True
Gicen some function, f, the instantaneous rate of change at x= c is given by f1(c)
False
Given two functions, f(x) and g(x), (fg)1(x) = f1(x)g(x) - f(x)g1(x)
False
A function F(x) is said to be an antiderivative of f(x) if F(x) = f1(x)
False
Anti-differentation results in a constant of integration because the derivative of a constant is 0
True
~ lnx dx = 1/x + c
False
if y= f(u) and u= g(x) then dy/dx = dydu/dudx
True
The derivatives of all composite functions contain the derivatives of the input functions
True
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