Final Exam Review

If the displacement function is given as s(t) = t⁴ , then the velocity function is ?

Given the function g(x) = ∛x , the derivative of the function g'(x) = ?

The process of setting the derivative of a function equal to zero and solving it is called ?

Point B is a _________________?

Given the function f(x) = x^4/5 , the derivative of the function f'(x) = ?

Given the function f(x) = 4x⁵, the derivative of the function f'(x) =     ?

Given the function f(x) = x¹⁰⁰  + 100x^-2, the derivative of the function f'(x) = ?

What is the derivative of the function f(x) = (2x³ + 1)⁵  ?

The limit of the following function, as x ---> 3, is ______________

In the interval x ϵ [0,7], Point E and F are _________________?

Another notation to represent derivative is ?

What is the Quotient Rule?

The limit of the following function  ?

Determining the values of x when f"(x) = 0 is finding the _______________ ?

Point A is a _________________?

If the displacement function is given as s(t) = t⁴ , then the acceleration function is ?

Determining the values of x when f'(x) = 0 is finding the _______________ ?

The rate of change of a function is the _________________ ?

Point D is a _________________?

What is the Chain Rule?

Given the function h(x) = -17  , the derivative of the function h'(x) = ?

What is the Product Rule ?

Given the function f(x) = -3x³ + x² + 1, the derivative of the function f'(x) = ?

The ______________ is when a tangent is used to find the rate of change (at only one point).

What type of asymptote is found when you find the limit f(x) as x-----> ±∞