Title: Quotient Rule PreVideo Questions
Course: Calculus I

Q: if f ( x ) =(ln(x))/(2(x)^(2)), then f `(x)=
- (4 x - 4 x ln(x))/(2(x)^(2)) (Incorrect)
- 4(x)^(2) (Incorrect)
- (x - 2 ln(x)x)/(2(x)^(4)) (Correct)
- (4 x + 4 x ln(x))/(2(x)^(2)) (Incorrect)
- (1)/(4(x)^(2)) (Incorrect)
A: (x - 2 ln(x)x)/(2(x)^(4))

Q: If f(x)=(sin(x))/((3)^(x)), then f `(x)=
- ((3)^(x)cos(x)- sin(x)(3)^(x)ln(3))/((9)^(x)) (Correct)
- ((3)^(x)cos(x)+ sin(x)(3)^(x)ln(3))/((9)^(x)) (Incorrect)
- (cos(x))/((3)^(x)ln(3)) (Incorrect)
- ((3)^(x)cos(x)- sin(x)(3)^(x)ln(3))/((3)^(x)) (Inorrect)
- ((3)^(x)ln(3))/(cos(x)) (Incorrect)
A: ((3)^(x)cos(x)- sin(x)(3)^(x)ln(3))/((9)^(x))

Q: If f ( x ) =((e)^(x))/((x)^(3)), then f `(x)=
- (3(x)^(2))/((e)^(x)) (Incorrect)
- ((e)^(x)· 3(x)^(2)-(x)^(3)·(3)^(x))/((x)^(6)) (Incorrect)
- ((e)^(x))/(3(x)^(2)) (Incorrect)
- ((x)^(3)(e)^(x)-(e)^(x)· 3(x)^(2))/((x)^(6)) (Correct)
- ((x)^(3)(e)^(x)+(e)^(x)· 3(x)^(2))/((x)^(6)) (Incorrect)
A: ((x)^(3)(e)^(x)-(e)^(x)· 3(x)^(2))/((x)^(6))