Title: Quotient_Rule_Post_BB_Test
Course: Calculus I

Q: f(x)=((7)^(x))/((x)^(3)), f `(x)=
A: (ln(7)\*7^x\*x^3-7^x\*3x^2)/x^6 / (ln(7)(7^x)x^3-(7^x)(3x^2))/x^6 / (7^x\*ln(7)\*x^3-7^x\*3x^2)/x^6 / ((7^x)ln(7)x^3-(7^x)(3x^2))/x^6 / (ln(7)\*7^x\*x^3-3x^2\*7^x)/x^6 / (ln(7)(7^x)x^3-(3x^2)(7^x))/x^6 / (7^x\*ln(7)\*x^3-3x^2\*7^x)/x^6 / ((7^x)ln(7)x^3-(3x^2)(7^x))/x^6 / (x^3\*ln(7)\*7^x-7^x\*3x^2)/x^6 / ((x^3)ln(7)(7^x)-(7^x)(3x^2))/x^6 / (x^3\*7^x\*ln(7)-7^x\*3x^2)/x^6 / ((x^3)(7^x)ln(7)-(7^x)(3x^2))/x^6 / (x^3\*ln(7)\*7^x-3x^2\*7^x)/x^6 / ((x^3)ln(7)(7^x)-(3x^2)(7^x))/x^6 / (x^3\*7^x\*ln(7)-3x^2\*7^x)/x^6 / ((ln(7)x^3)(7^x)-(3x^2)(7^x))/x^6

Q: f ( x ) =(ln(x))/(5(x)^(3)), f `(x)=
- ((1)/(x))/(15(x)^(2)) (Incorrect)
- (5(x)^(3)((1)/(x))- ln(x)· 15(x)^(2))/(15(x)^(2)) (Incorrect)
- (5(x)^(3)· 15(x)^(2)- 5(x)^(3)((1)/(x)))/(15(x)^(2)) (Incorrect)
- (5(x)^(3)((1)/(x))- ln(x)(15(x)^(2)))/(5(x)^(6)) (Incorrect)
- (ln(x)(15(x)^(2))- 5(x)^(3)((1)/(x)))/(5(x)^(6)) (Incorrect)
- (5(x)^(3)((1)/(x))- ln(x)(15(x)^(2)))/(25(x)^(6)) (Correct)
- (ln(x)(15(x)^(2))- 5(x)^(3)((1)/(x)))/(25(x)^(6)) (Incorrect)
A: (5(x)^(3)((1)/(x))- ln(x)(15(x)^(2)))/(25(x)^(6))

Q: f ( x ) =((5)^(x))/(cos(x)), f `(x)=
- ((5)^(x)ln(5))/(- sin(x)) (Incorrect)
- (cos(x)·(5)^(x)ln(5)+(5)^(x)sin(x))/((cos)^(2)(x)) (Correct)
- (cos(x)·(5)^(x)ln(5)-(5)^(x)sin(x))/((cos)^(2)(x)) (Incorrect)
- (-(5)^(x)sin(x)- cos(x)·(5)^(x)ln(5))/((cos)^(2)(x)) (Incorrect)
- (cos(x)·(5)^(x)ln(5)· 4 +(5)^(x)sin(x))/((cos)^(2)(x)) (Incorrect)
- ln(x)+ 1 (Incorrect)
- 0 (Incorrect)
- 1 (Incorrect)
A: (cos(x)·(5)^(x)ln(5)+(5)^(x)sin(x))/((cos)^(2)(x))