Title: Product_Rule_Post_BB_Test
Course: Calculus I

Q: f(x)=((5)^(x))/((x)^(5)), f `(x)=
- x(5)^(x - 1)·(- 5(x)^(- 6)) (Incorrect)
- (5)^(x)ln(5)·(- 5(x)^(- 6)) (Incorrect)
- x(5)^(x - 1)(x)^(- 5)-(5)^(x)· 5(x)^(- 6) (Incorrect)
- (5)^(x)ln(5)·(x)^(- 5)-(5)^(x)· 5(x)^(- 6) (Correct)
- (x(5)^(x - 1))/(5(x)^(4)) (Incorrect)
A: (5)^(x)ln(5)·(x)^(- 5)-(5)^(x)· 5(x)^(- 6)

Q: f(x)=(4)^(x)(x)^(4), f `(x)=
- 2 x ln(2) (Incorrect)
- 20(x)^(4) (Incorrect)
- x(4)^(x - 1)· 4(x)^(3) (Incorrect)
- x(4)^(x - 1)(x)^(4)+(4)^(x)4(x)^(3) (Incorrect)
- (4)^(x)ln(4)· 4(x)^(3) (Incorrect)
- (4)^(x)ln(4)(x)^(4)+(4)^(x)4(x)^(3) (Correct)
- x · 3(ln(4)x + 4)4 x (Incorrect)
A: (4)^(x)ln(4)(x)^(4)+(4)^(x)4(x)^(3)

Q: f(x)= - x cos(x), f `(x)=
- sin(x) (Incorrect)
- cos(x) (Incorrect)
- x sin(x) (Incorrect)
- - cos(x)+ x sin(x) (Correct)
- - cos(x)- x sin(x) (Incorrect)
- sin(x)- cos(x) (Incorrect)
A: - cos(x)+ x sin(x)

Q: f(x)= x ln(x), f `(x)=
- x (Incorrect)
- ln(x) (Incorrect)
- x ln(x) (Incorrect)
- (1)/(ln(x)) (Incorrect)
- (1)/(x) (Incorrect)
- ln(x)+ 1 (Correct)
- ln(1)= 0 (Incorrect)
- 1 (Incorrect)
A: ln(x)+ 1