Welcome to your Grade 12 Mathematics chapter 2
After carefully reading the following 30 questions, choose the correct answer.
1.
The derivative of a function f at a point x, denoted by f′(x), is defined as:
2.
Geometrically, the derivative f′(a) represents the:
3.
If f(x)=c (where c is a constant), then f′(x) is:
4.
According to the Power Rule, if f(x)=xn, then f′(x)=
5.
The derivative of the sum of two functions (f+g)′(x) is:
6.
The Product Rule for differentiation states that [f(x)g(x)]′=
7.
The Quotient Rule for differentiation states that [f(x)/g(x)]′=
8.
The Chain Rule for the derivative of a composite function f(g(x)) is:
9.
What is the derivative of sin(x)?
10.
What is the derivative of cos(x)?
11.
Integration is the reverse process of:
12.
The symbol ∫f(x)dx represents the:
13.
What is the indefinite integral of xn (for n=−1)?
14.
The Fundamental Theorem of Calculus relates differentiation to:
15.
A point where the derivative is zero or undefined is called a:
16.
If f′(x)>0 on an interval, the function is:
17.
If f′(x)<0 on an interval, the function is:
18.
The second derivative f′′(x) measures the:
19.
If f′′(x)>0 on an interval, the graph is:
20.
If f′′(x)<0 on an interval, the graph is:
21.
A point where concavity changes is called an:
22.
The derivative of ex is:
23.
The derivative of ln(x) (for x>0) is:
24.
What is the definite integral ∫abf′(x)dx?
25.
If f′(c)=0 and f′′(c)>0, then f has a:
26.
If f′(c)=0 and f′′(c)<0, then f has a:
27.
The instantaneous rate of change of a function is given by its:
28.
What is the derivative of 5x3+2x?
29.
The constant C in indefinite integration is called the:
