Derivative of tanx (you have to put parenthesis around the answer and then square it)

Derivative of cotx f (if there is a negative you have to put it in front of the parenthesis)

Derivative of secx (use * for multiplication)

Derivative of cscx

Derivative of e^x

The __________________ represents the average rate of change

The __________________ represents the instantaneous rate of change

What rule do use to find the derivative of h(x) = f(x)*g(x)?

What rule do use to find the derivative of h(x) = f(x)/g(x)?

____________________ is the curving upward or downward

____________________ is where the concavity changes from negative to positive or positive to negative

If a < b and f(a) < f(b) then the function is __________

If a < b and f(a) > f(b) then the function is _____________

Hint

Answer

if a < b and f(a) = f(b) then the function is ____________

the _________________ states that if x is continuous on [a,b] and differentiable on (a,b) then there exists a c on the interval (a,b) such that f '(c) = (f(b)-f(a)/(b-a)

the __________________ states that if f is continuous on [a,b] and differentiable on (a,b) and f(a) = f(b), then there exists a c on the interval (a,b) such that f '(c)=0.

If f ''(x) > 0 then f is _________.

If f ''(x) < 0 then f is __________.

Find the limit as x approaches 1 of ((2 - (5/(x-1)^2))

Use differentials to approximate (4.9)^(1/2) or the square root of 4.9 (to the third decimal)

To find the maximum and minimum values of a function y=f(x), locate the points where f'(x) changes sign and the ___________.

Find the absolute maximum and minimum values (with both the x and y coordinates) of f(x)=3x^2 -24x-1 on the interval [-1,5]

Find the point(s) of inflection of f(x)=x^3-3x^2 (only the x-coordinate)

Find the limit as x approaches -1 of (x^2+6x+5)/(x^2-3x-4)

Find the limit as x approaches 0 of ((x+4)^1/2 - 2)/x

Find the limit as x approaches 0 of sin5x/x

A function is not differentiable if it is not continuous or has a ______________.

x-values at which f'(x)=0 or f'(x) is undefined are __________.

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