If the first derivative of a function is a constant, then the function is
Asinusoidal
Bexponential
Clinear
Dquadratic
Mathematics · Question Bank
Differential Calculus
32 of 112 questions match · page 2 of 2. Answer in your head first, then check the solution.
A function f(x) is said to be an even function if its graph is symmetric with respect to
Athe x-axis
Bthe y-axis
Cthe origin
Dboth axes
The notation f’(x) was invented by
ALeibniz
BNewton
CWallis
DLagrange
If a function f(x) is concave downward on the interval (1,10), then f(8) and f(3)
Amay be true
Bcannot be true
Cmust be true
Dis never true
If a tangent to a curve y = f(x) is horizontal at x = a, then f’(a) is
Apositive
Bnegative
Czero
Dinfinity
For a function y = f(x), if f”(x) = -f(x), then the function is
Alogarithmic
Bexponential
Ctranscendental
Dsinusoidal
The derivative of an increasing function f(x) must be
Astrictly positive
Balways positive
Cnon-negative
Dnegative
At the maximum point, the value of the 2nd derivative of a function is
Apositive
Bnegative
Czero
Dinfinite
At the inflection point, the value of y” is
Azero
Bpositive
Cnegative
Dunity
The function y = f(x) has a maximum value of x = 2 if f’(2) = 0 and f”(2) is
Aequal to zero
Bless than zero
Cgreater than zero
Dunity
At the maximum point, the tangent line is
Aslanting upward
Boblique
Chorizontal
Dvertical
A point on the curve where the second derivative of a function is equal to zero is called
Amaxima
Bminima
Cpoint of inflection
Dpoint of intersection