MATHEMATICS QUIZ ELECTIVE-1

Differentiation is a process of finding derivatives.

Any function is differentiable on its entire domain.

Given that 푓(푥)=푥^3 푔(푥)=√푥^3, then 푑(푓푔)(1)/푑푥 is equal to------

• A. 3

• B. 10

• C. 1

• D. 4

Based on equation 3 above (푓푔)'(1) is equal to

• A. 3

• B. 10

• C. 8

• D. 2

Given that;푓(푥)=8푥^3+4; [-4; 4] then which of the following is not correct?

Let 푓(푥)=푔(√4푥+1). If 푔'(3)=1/2, then 푓'(2) is

• A. 2/3

• B. 1/3

• C. √5/2

• D. √12/2

If ℎ(푥)=√푔(푥)^3,푔(20)=8 and 푔'(2)=6 then the equation of the normal line at (2,ℎ(2)) is

• A. y=1/2x+1

• B. y=1/2x-1

• C. y=1/2x-2

• D. y=-2x+6

Let 푓(푥)=푥^2√2푥+12 find the equation of tangent line to the graph of f at x=2

Based on equation 9 above find the equation of normal line at the same point.