IB Math Studies Basic Derivatives

Question 1

Which of these equations would be tangent to the point (2,12)?

Accepted Answer

y=12x-12

Question 2

Practical Application-In physics, in a velocity vs. time graph with time (x) and velocity (y), what is the derivation?

Accepted Answer

The acceleration graph

Question 3

What is the equation of the normal to the point (2,12)?

Accepted Answer

y=-(1/12)x+(74/6)

Question 4

The derivative can only be taken once

Accepted Answer

False

Question 5

The derivation of a velocity graph is an acceleration graph-so if time in the derivation is x, what is y?

Accepted Answer

Acceleration

Question 6

What is the derivative of the equation y=3x+7.5?

Accepted Answer

y'=3

Question 7

What is the slope of the tangent to the point on the previous function (4,6)?

Accepted Answer

m=11

Question 8

What is the definition of a tangent to a line?

Accepted Answer

Intersects at only a specified point on the curve

Question 9

Are derivations useful in real world applications?

Accepted Answer

Yes

Question 10

What is the derivative of y=3x2?-This equation will be used for the next 4 problems

Accepted Answer

6x

Question 11

What is the slope of a line tangent to a point?

Accepted Answer

The y value of its derivative at that point

Question 12

What is the normal?

Accepted Answer

The line perpendicular to a tangent

Question 13

What is the definition of a tangent to a line?

Accepted Answer

Intersects at only a specified point on the curve

Question 14

Why does constant disappear when the derivative is used?

Accepted Answer

Because its "x" exponent is 0

Question 15

What is the derivative equation for a simple exponential equation?=xn

Accepted Answer

nx(n-1)

Question 16

What is the derivative of x^3 − 6x^2 + 11x − 6?-This equation will be used for the next question

Accepted Answer

y'=3x2 -12x +11

Question 17

What is a derived equation used for?

Accepted Answer

To find the slope a line at a specific point

Question 18

How do you find the slope of the normal given the slope at a point?

Accepted Answer

Find the negative reciprocal of the slope

Question 19

What is the slope of the normal to the point (2,12)?

Accepted Answer

m=-(1/12)

Question 20

What is the slope of a line tangent to the point (2,12)?

Accepted Answer

m=12

Question 21

If we know the cost equation in terms of products made (x), what will the derivation tell us?

Accepted Answer

The relationship between the amount of products made and their cost

Question 22

What is the derivative of 2x2 + 5x + 3 ?

Accepted Answer

y'=4x+5

Questions 22