Mathematics

Problem

The notation

f^{(5)}(t)

appears in a solution. Which statement best describes what this symbol represents? a) It is the fifth iterate of

f

applied to

t

, i.e.

f\bigl(f(f(f(f(t))))\bigr)

. b) It is the fifth power of

f

evaluated at

t

, i.e.

[f(t)]^{5}

. c) It is the fifth derivative of

f

with respect to

t

, evaluated at the value

t

. d) It is the derivative of

f

with respect to

t

raised to the fifth power, i.e.

[f'(t)]^{5}