Free Test Online

Question 1:

1
1/3
-1/3
-1
1/2

Question 2: If f(x) = xⁿsin(x), then f '(x) =

x^n-1[x cos(x) + n sin(x)]
x^n-1[x cos(x) + sin(x)]
xⁿ[x cos(x) + n sin(x)]
xⁿ[cos(x) + n sin(x)]
x^n-1[cos(x) + sin(x)]

Question 3: If x²y + y² = 4x² + x, then dy/dx =

(8x + 1)/(x² + 2y)
(8x + 1 - 2xy)/(x² + 2y + 1)
(8x + 2xy)/(x² + 2y + 1)
(8x + 1 - 2xy)/(x² + 2y)
(8x + 1 - 2xy)/(x + 2y)

Question 4: What is the average rate of change of the function f defined by f(x) = x³ + 2√x on the interval [0, 5]?

25 - 2/√5
25 + 2/√5
5 + 2/√5
5 - 2/√5
125 - 2/√5

Question 5:

17/24
15/14
1
38/35
3/5

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