For Exercises 11-16, identify the statements among a-h that follow directly from the given condition about x . a. csc x is undefined. b. sec x is undefined. c. The graph of y = sec x has a relative maximum at x . d. The graph of y = csc x has a relative minimum at x . e. The graph of y = sec x has a vertical asymptote. f. The graph of y = csc x has a vertical asymptote. g. The graph of y = csc x has a relative maximum at x . h. The graph of y = sec x has a relative minimum at x . The graph of y = cos x has a relative maximum at x .
For Exercises 11-16, identify the statements among a-h that follow directly from the given condition about x . a. csc x is undefined. b. sec x is undefined. c. The graph of y = sec x has a relative maximum at x . d. The graph of y = csc x has a relative minimum at x . e. The graph of y = sec x has a vertical asymptote. f. The graph of y = csc x has a vertical asymptote. g. The graph of y = csc x has a relative maximum at x . h. The graph of y = sec x has a relative minimum at x . The graph of y = cos x has a relative maximum at x .
Solution Summary: The author explains that the trigonometric function y=mathrmsecx is an inverse of the function.
For Exercises 11-16, identify the statements among
a-h
that follow directly from the given condition about
x
.
a.
csc
x
is undefined.
b.
sec
x
is undefined.
c. The graph of
y
=
sec
x
has a relative maximum at
x
.
d. The graph of
y
=
csc
x
has a relative minimum at
x
.
e. The graph of
y
=
sec
x
has a vertical asymptote.
f. The graph of
y
=
csc
x
has a vertical asymptote.
g. The graph of
y
=
csc
x
has a relative maximum at
x
.
h. The graph of
y
=
sec
x
has a relative minimum at
x
.
The graph of
y
=
cos
x
has a relative maximum at
x
.
Formula Formula A function f(x) attains a local maximum at x=a , if there exists a neighborhood (a−δ,a+δ) of a such that, f(x)<f(a), ∀ x∈(a−δ,a+δ),x≠a f(x)−f(a)<0, ∀ x∈(a−δ,a+δ),x≠a In such case, f(a) attains a local maximum value f(x) at x=a .
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