Calculus grade A Q&A
1 - (CORRECT ANSWER)
0 - (CORRECT ANSWER)
Squeeze Theorem - (CORRECT ANSWER)
f is continuous at x=c if... - (CORRECT ANSWER)
Intermediate Value Theorem - (CORRECT ANSWER)If f is continuous on [a,b] and k
is a number between f(a) and f(b), then there exists at least one number c such that
f(c)=k
Global Definition of a Derivative - (CORRECT ANSWER)
Alternative Definition of a Derivative - (CORRECT ANSWER)f '(x) is the limit of the
following difference quotient as x approaches c
nx^(n-1) - (CORRECT ANSWER)
1 - (CORRECT ANSWER)
cf'(x) - (CORRECT ANSWER)
f'(x)+g'(x) - (CORRECT ANSWER)
The position function OR s(t) - (CORRECT ANSWER)
f'(x)-g'(x) - (CORRECT ANSWER)
uvw'+uv'w+u'vw - (CORRECT ANSWER)
cos(x) - (CORRECT ANSWER)
-sin(x) - (CORRECT ANSWER)
sec²(x) - (CORRECT ANSWER)
-csc²(x) - (CORRECT ANSWER)
sec(x)tan(x) - (CORRECT ANSWER)
dy/dx - (CORRECT ANSWER)
f'(g(x))g'(x) - (CORRECT ANSWER)
Extreme Value Theorem - (CORRECT ANSWER)If f is continuous on [a,b] then f has
an absolute maximum and an absolute minimum on [a,b]. The global extrema occur
at critical points in the interval or at endpoints of the interval.
1 - (CORRECT ANSWER)
0 - (CORRECT ANSWER)
Squeeze Theorem - (CORRECT ANSWER)
f is continuous at x=c if... - (CORRECT ANSWER)
Intermediate Value Theorem - (CORRECT ANSWER)If f is continuous on [a,b] and k
is a number between f(a) and f(b), then there exists at least one number c such that
f(c)=k
Global Definition of a Derivative - (CORRECT ANSWER)
Alternative Definition of a Derivative - (CORRECT ANSWER)f '(x) is the limit of the
following difference quotient as x approaches c
nx^(n-1) - (CORRECT ANSWER)
1 - (CORRECT ANSWER)
cf'(x) - (CORRECT ANSWER)
f'(x)+g'(x) - (CORRECT ANSWER)
The position function OR s(t) - (CORRECT ANSWER)
f'(x)-g'(x) - (CORRECT ANSWER)
uvw'+uv'w+u'vw - (CORRECT ANSWER)
cos(x) - (CORRECT ANSWER)
-sin(x) - (CORRECT ANSWER)
sec²(x) - (CORRECT ANSWER)
-csc²(x) - (CORRECT ANSWER)
sec(x)tan(x) - (CORRECT ANSWER)
dy/dx - (CORRECT ANSWER)
f'(g(x))g'(x) - (CORRECT ANSWER)
Extreme Value Theorem - (CORRECT ANSWER)If f is continuous on [a,b] then f has
an absolute maximum and an absolute minimum on [a,b]. The global extrema occur
at critical points in the interval or at endpoints of the interval.
