WorksheetsDifferentiation I Diagnostic Assessment
Total questions: 15
Worksheet time: 1hrs 2mins
Name
Class
Date
1.
a)
12x4 +3x2
b)
20x4 +3x2 +16
c)
3x5 +32x3 +6x2 +8x
d)
24x3
2.
a)
8x4 -60x2
b)
16x4
c)
(8x4 -60x2)/(2x2-5)2
d)
3x
3.
Find the derivative of y = 2x2 (3x - 4)
a)
6x3 - 8x2
b)
18x2 - 16x
c)
15x2 - 6x
d)
6x - 4
4.
Find the derivative of g(x)=(3x-2)/(x2+2)
a)
9x2+2
b)
3(x2+2)/(x2+2)2
c)
(-3x2+4x +6)/(x2+2)2
d)
(-3x2+10)/(x2+2)2
5.
Find the derivative
f(t) = (t2 + 2t)5
f(t) = (t2 + 2t)5
a)
f'(t) = 5(2t+2)4
b)
f'(t) = 5(t2 + 2t)4
c)
f'(t) = 5(t2 + 2t)4(2t)
d)
f'(t) = 5(t2 + 2t)4(2t + 2)
6.
Which if the following is not a correct notation for 'derivative?'
a)
f'(x)
b)
y'
c)
dy
d)
dy/dx
7.
Derivative means the same thing as
a)
slope of the tangent line
b)
slope of the normal line
c)
exponent
d)
slope of the secant line
8.
Which rule would you need to use?
a)
Power Rule
b)
Product Rule
c)
Quotient Rule
d)
Chain Rule
9.
Find the derivative.
y = 2 / (2x4 − 5)
y = 2 / (2x4 − 5)
a)
y ′ = -16x3 / (2x4-5)
b)
y′ = 4x6 + 8x3 + 4
c)
y′ = 16x3
10.
Find the derivative.
y = x2 / (3x-1)
y = x2 / (3x-1)
a)
y' = 9x2 - 12
y' = (3x-1) / (3x-1)2
y' = (3x-1) / (3x-1)2
b)
y' = (3x2 - 2x) / (3x-1)2
c)
y' = (6x+1)2 / 3
11.
a)
b)
c)
d)
12.
a)
b)
c)
d)
13.
a)
b)
c)
d)
14.
Differentiate (2x + 2)(x - 5)8 with respect to x.
a)
(2x + 2)(x - 5)7 + 2(x - 5)8
b)
8(2x + 2)(x - 5)7 + 2(x - 5)8
c)
2(x - 5)8
d)
16(x - 5)7
15.
a)
-20x6 + 10x
b)
-70x6 + 30x4 + 10x
c)
5x2 + 10x - 3
d)
-10x7 - 94x5 + 5x2 - 3
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