Calculus

Calculus
Intermediate Value Theorem - 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 - ANSWER>>>

Alternative Definition of a Derivative - ANSWER>>>f '(x) is the limit of the
following difference quotient as x approaches c

nx^(n-1) - ANSWER>>>

1 - ANSWER>>>

cf'(x) - ANSWER>>>

f'(x)+g'(x) - ANSWER>>>

f'(x)-g'(x) - ANSWER>>>

cos(x) - ANSWER>>>

-sin(x) - ANSWER>>>

sec²(x) - ANSWER>>>

-csc²(x) - ANSWER>>>

sec(x)tan(x) - ANSWER>>>

f'(g(x))g'(x) - ANSWER>>>

Extreme Value Theorem - 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.