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
