Duplicate of MCV4U Final Exam Review

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

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

Given the planes x + y - 2z + 4 = 0 and -2x -2y +4z -8 = 0, these planes ?

Point B is a _________________?

The vector (4,-1,0) exists in what plane ?

Given the function f(x) = 3^x , the derivative f'(x) =   ?

log₃x + 2log₃y - log₃z = 

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

Point A is a _________________?

What is the Quotient Rule?

What is the Chain Rule?

What is the value of ln e ?

Given the function f(x) = e^-x , the derivative f'(x) =   ?

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

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

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

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

What is the Product Rule ?

Given the following symmetric equation, state the parametric equation for the y component?

Given the function f(x) = cos x , the derivative f'(x) =   ?

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

Given the function f(x) = sin x , the derivative f'(x) =   ?

The process of finding a derivative by using limits and f(x+h)-f(x) is called ?

Determine the dot product of (2,0,3) and (1,4,0) ?

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

Determine the |(2,-1, 3)|  (magnitude)  

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

The rate of change of a function is the _________________ ?

When two normals have a dot product equal to zero, the planes are ______?

What is the direction vector of the vector equation r = (3,0,1) + t (-2,1,5)

Another notation to represent derivative is ?

Given the following parametric equations, state the symmetric equation ?

Given the planes x + y - 2z + 4 = 0 and -2x -2y +4z + 8 = 0, these planes ?

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

Given the function f(x) = ln x , the derivative f'(x) =   ?

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

The cross product of (1,1,0) and (1,0,1) is 

Dot product is also referred to as _____, and the cross product is also referred to as ____.

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

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

Point D is a _________________?

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

Given A(2,2,1) and B(5,4,3), then vector  AB is ?

The limit of the following function  ?

The normal of the plane given the Cartesian Equation 2x -3y +7z = -4 

Given the function f(x) = e^x , the derivative f'(x) =   ?

Given the following system, the two sets of intersecting lines are ? 

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