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Math 12 Chapter 2
Differentiation
Test - 1
1.
In the expression φ(θ) = θ
2
+ 1/ θ, θis ______________________variable.
a) Independent
b) Dependent
c) Relative Minima
2.
The Leibnitz symbol for the derivative of y w.r.t. x is _________________
a) dy/dx
b) dx/dy
3.
d/dx [cos h (3x)] is ____________________
a) sinh3x
b) 3 sinh3x
c) 3 sinh2x
d) 2 sinh3x
4.
The derivative of 2
tanx
is ____________________
a) 4
tanx
sec
2
x.ln2
b) 2
tanx
sec
4
x.ln2
c) 2
tanx
sec
2
x.ln2
5.
If y = tan
-1
2x then dy/dx = __________________
a) 4/(1+ 4x
2
)
b) 2/(1+ 4x
3
)
c) 2/(1+ 2x
2
)
d) 2/(1+ 4x
2
)
6.
If x = t
3
and y = 1 + t
2
then dy/dx is _____________________________
a) 2/3t
b) 3/2t
c) 2/3
7.
__________________ is the derivative of sin
2
2x.
a) 4 sin 2x cos 2x
b) 4 sin 3x cos 2x
c) 2 sin 2x cos 2x
d) 4 sin 2x cos 3x
8.
The derivative of 1/
Ö
x is ______________________
a) 1/4 x
-3/2
b) -1/4 x
-3/2
c) -1/2 x
-3/2
d) 1/2 x
-3/2
9.
If lim
δx
®
0
f (x + δx) - f(x) / δx exists then f(x) is said to be _______________
a) Independent
b) Differentiable
c) Indifferentiable
10.
The second derivative of e
2x
is ______________________
a) 4e
3x
b) 4e
2x
c) 4e
4x
d) 2e
2x
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