MAN UNITED PHIÊN BẢN AIG CÓ PHẢI LÀ PHIÊN BẢN MẠNH NHẤT?
MAN UNITED PHIÊN BẢN AIG CÓ PHẢI LÀ PHIÊN BẢN MẠNH NHẤT?

1
Given y=f(x) then df/dx is given by which of the following? 1. 2. 3. 4.

2
equals 1.-2sin2x 2.-sin(2x) 3.0 4.-2xsin2x

3
If y=x n then find dy/dx 1.nx n 2.nx n-1 3.x n-1 4.(n-1)x n

4
Find the derivative of f(x)=3x³-½x²+5x+1 with respect to x 1.9x² – 2x + 5 2.9x³ – x² + 5x + 1 3.9x² – x + 5 4.9x³ – x² + 6

5
If 1.-3e 3x 2.3e 3x 3.-3e 2x 4.-3xe 2x

6
f(k)=tan3k, find 1.3sec3k 2.sec3k 3.3sec²3k 4.sec²3k

7
= 1.sin(x) 2.-sin(x) 3.cos(x) 4.-cos(x) 5.cosec(x) John Goodband, Coventry University

8
= 1. 2. 3. 4. 5.

9
= John Goodband, Coventry University 1. 2. 3. 4. 5.

10
Find the derivative of 1. 2. 3. 4. with respect to x

11
Find the derivative of z = 2sint – cos2t with respect to t 1.2cost + sin2t 2.2cost – sin 2t 3.2cost + 2sin2t 4.2cost – 2sin2t

12
If then 1. 2. 3. All of the above 4.

13
1.The derivatie of f(x)+g(x) is 2.The derivative of f(x)-g(x) is 3.If k is constant, the derivative of kf(x) is 4.If y=f(x)g(x) then Which of the following statements are true?

14
equals 1.2-e cosx sinx +2xcos2x 2.x+ e cosx +2cos2x 3.2-e cosx sinx +2cos2x 4.Not enough information

15
Find the derivative of y=2xe -x with respect to x 1.-2xe -x + 2e -x 2.-2xe -x + 2e -x 3.2xe -x – 2e -x 4.2xe -x + 2e -x

16
Find the derivative of y=(e 2x ) 6 with respect to x 1.6e 2x 2.12e 12x 3.12xe x 4.12e x

17
= John Goodband, Coventry University 1.2xcos(x²) 2.cos(x²) 3.2xcos(x) 4.x²cos(x²) + 2xsin(x²)

18
Which of the following is the quotient rule if ? 1. 2. 3. 4.

19
Use the quotient rule to find the derivative of f(x)=x -3 cosx with respect to x 1. 2. 3. 4.

20
We know and. Then equals: 1.5/2 2.7/2 3.3

21
Using the chain rule, find the derivative f(x)=(3x²+2)² with respect to x 1.2(3x² + 2) 2.12(3x + 2) 3.12x(3x² + 2) 4.12x + 4

22
Suppose a runner has a speed of 8 miles per hour, while a cyclist has a speed of 16 miles per hour. Then dV/dt for the cyclist is 2 times greater than dV/dt for the runner. This is explained by: 1.The chain rule 2.The product rule 3.The quotient rule 4.The addition rule

23
The radius of a balloon changes as it deflates. This change in radius with respect to volume is: 1. 2. 3. None of these 4.

24
Calculate the second derivative of y = 4x³ – 2x + x² – 3 with respect to x 1.24x + 2 2.24x – 2x 3.12x – 2 4.12x² – 2 +2x

25
If then find 1. 2. 3. 4.

26
If x=h(t) and y=g(t) then 1. 2. 3. 4.

27
Find the value of if x=3t 2 and y=2t-1. 1. 2. 3. 4.

28
1. If x=h(t) and y=g(t) then 2. 3. 4.

29
Find the equation of the tangent line to the curve x=1-3sint, y=2+cost at. 1. 2. 3. None of the above 4.

30
Which differentiation rule is needed to differentiate implicit functions? 1.Product rule 2.Chain rule 3.Quotient rule 4.Inverse function rule

31
Find if 3y=xy+siny. 1. 2. 3. 4.

32
Find at the point (3,1) on x 2 +2xy+y 2 =x. 1. 2. 3. 4.

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