Advanced Derivatives Assessment Test
10 Questions
| Total Attempts: 124
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Applying the common derivative rules in more elaborate ways is what advanced derivatives mean. Take this assessment test to evaluate your knowledge of this topic.
Questions and Answers
- 1.What is the derivative of (y + 5) / (y2 – 1) with respect to y?
- A.
DF(y) = (-y2 – 10y – 1) / (y2 – 1)2
- B.
DF(y) = (y2 + 10y – 1)
- C.
DF(y) = (y2 – 1)2
- D.
DF(y) = (-y2 –10x + 1) / (y2 – 1)2
- 2.Find dy/dx if y = 52x-1.
- A.
52x-1 ln 10
- B.
52x-1 ln 5
- C.
52x-1 ln 25
- D.
52x-1 ln 2
- 3.Differentiate ax2 + c to the ½ power.
- A.
-2ax
- B.
2ax
- C.
2ax + c
- D.
Ax + 2c
- 4.Find the derivative of arcos 4x with respect to x.
- A.
-3/ [1 – (5x)^2]^2
- B.
-4 /0.5
- C.
[1 – (4x)^2]^0.5
- D.
-4 / [(4x)^2 – 1]^0.5
- 5.Find the derivative of (y + 1)3 – y3 with respect to y.
- A.
6y – 3
- B.
3y – 3
- C.
6y + 3
- D.
3y + 6
- 6.If a simple constant, what is the derivative of y = za?
- A.
A za-1
- B.
(a) - 2z
- C.
Xa
- D.
AX
- 7.What is the derivative of ln (cos y)?
- A.
Sec y
- B.
-sec y
- C.
–tan y
- D.
Tan y
- 8.What is the second derivative of y by implicit differentiation from the equation 4×2 + 8y2 = 36?
- A.
32xy
- B.
64×2
- C.
(– 9/4) y3
- D.
(- 16/9) y3
- 9.What is the second derivative of this equation y3 – 5×2 + y = 0?
- A.
10y – 5
- B.
6y – 10
- C.
3y + 10
- D.
3×2 – 6y
- 10.What is the derivative of arccos 4y?
- A.
4 / (1 +16×2)0.5
- B.
4 / (1 – 16×2)0.5
- C.
-4 / (1 + 4×2)0.5
- D.
4 / (1 – 4×2)0.5
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