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Math 12 Chapter 2
Differentiation
Test - 8
1.
d/dx (x
0
) = ………………………
a) Zero
b) x
c) x
0
d) One
2.
The notation dy/dx used by Mathematician…………
a) Newton
b) Leibnitz
c) Lagrange
d) Cauchy
3.
Derivative of x
2
w.r .t x at x = 1 is …………
a) 1
b) 2
c) 2x
d) None
4.
Derivative of 7
x
w.r.t x is…………
a) 7
x
b) 7
x
lnx
c) 7
x
ln7
d) 7
x
/ln7
5.
Derivation of x
a
w.r.t x is ……………….
a) x
a
lna
b) x
a
lnx
c) x
a
/lna
d) ax
a-1
6.
d/dx Sinx
2
= ……………………………
a) 2 Sinx Cosx
b) Cosx
2
c) 2xCosx
2
d) 2Sinx
7.
d/dx Cos
2
x= ……………………………
a) - Sin2x
b) 2Cosx
c) Sin
2
x
d) None
8.
f is increasing on ( a, b) if f (x) ………….0
a) <
b) >
c) =
d) ≤
9.
d/dx (ln
x
) = ……………..
a) I / e
x
b) e
x
lne
c) 1
d) lne
x
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