1)The derivative of the function is 𝒍𝒏𝒙 + 𝟐𝒙𝟐
𝟏
𝒙
𝟏
𝒙
A) + 𝟐𝒙𝟐
𝟏
𝒙
B) − + 𝟒𝒙
C) + 𝟒𝒙
D) 4
2)If f(x) =(𝒆𝒙 + 𝟑𝒙)𝟑 then f’(x) is equal to
A) 𝟑𝒆𝒙 (𝒆𝒙 + 𝟑𝒙)𝟐
B) 𝟑𝒆𝒙 + 𝟗(𝒆𝒙 + 𝟑𝒙)𝟐
3)Find F’(x) if f(x) =
C) 𝟑𝒙𝒆𝟑𝒙 (𝒆𝒙 + 𝟑𝒙)𝟐
D) 𝟑𝒆𝒙 + 𝟗(𝒆𝒙 + 𝟑𝒙)𝟑
𝒆𝒙
𝒔𝒊𝒏𝒙
A)
𝒆𝒙
B)
𝒄𝒐𝒔𝒙
𝒆𝒙 −𝒔𝒊𝒏𝒙
C)
𝒔𝒊𝒏𝟐 𝒙
𝒆𝒙 (𝒔𝒊𝒏𝒙−𝒄𝒐𝒔𝒙)
𝒔𝒊𝒏𝟐 𝒙
D)𝒆𝒙 𝒔𝒊𝒏𝒙 −
𝒆𝒙 𝒄𝒐𝒔𝒙
𝒄𝒐𝒔𝟐 𝒙
4)Find the slope of the function f(x) =𝒍𝒏𝒆𝒙
A) 1
B) 0
C)
𝟏
𝒆𝒙
D) −
𝟏
𝒆𝒙
5) If a function F is equal to
A)
𝟏
𝒙𝒏+𝟏
B) −
𝟏
𝒙𝒏−𝟏
C)
𝟏
𝒙𝒏
𝒏
𝒙𝒏+𝟏
then
𝒅𝒚
𝒅𝒙
D) −
=
𝒏
𝒙𝒏+𝟏
6) Find the slope of the function f(x) =𝒍𝒏𝒆
A) 1
C) 𝒆𝟏𝒙
B) 0
𝟏
D) − 𝒆𝒙
From questions 7 to 10 find the slope
7)√𝒙 + √𝒙
A)
𝟐
𝟐√𝒙
8)𝒍𝒏
𝟏
𝒙𝟐
B)
𝟏
√𝒙
C)
𝟐
𝟒𝒙
D) Both A & B
A) −
𝟏
B) −
𝒙𝟑
𝟐
C) −
𝒙
𝟐
D) none of them
𝒙𝟓
9) f(x) =𝝅𝟐
B) 𝟐𝝅𝟑
A) 2𝝅
10)𝒇(𝒙) = 𝒆𝒙
A) 𝟑𝒆𝒙
𝟑
C) 0
D) none of them
𝟑
B) 𝟑𝒙𝒆𝒙
𝟑
C) 𝟑𝒙𝟐 𝒆𝒙
𝟑
D) 𝟑𝒙𝟐 𝒆𝟑𝒙
𝟐
In exercises 11 to 14 find points were tangent line of graph horizontal
11)f(x)=𝒙𝟑 + 𝟑𝒙𝟐 + 𝒙