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Math 12 Chapter 2
Differentiation
Test - 10
1.
1 + ax + a
2
x
2
/2! + a
3
x
3
/3! +……………. is the expansion of ……..
a) e
ax
b) e
a/x
c) e
x/a
d) ae
x
2.
- x – x
2
/ 2 – x
3
/ 3 -……….is the….... of………
a) log (-x-1)
b) log (x-1)
c) log (1-x)
d) log (x+1)
3.
Hundredth derivative of e
-x
is ………..
a) 1/100 e –x
b) 100 e
-x
c) e
-x
d) e
-100x
4.
d / dx Cot
-1
x is……….
a) (1/(x
2
+ 1)
b) - 1/(x
2
+ 1)
c) 1/(x
2
– 1)
d) 1/(1-x
2
)
5.
d / dx Sin hx = ………………..
a) (e
x
+ e
-x
)/2
b) (e
x
– e
-x
)/2
c) (e
-x
– e
x
/2
d) None
6.
d / dx (x
x
) =……………..
a) x lnx
b) x
x
lnx
c) x
x
d) None
7.
d / dx (
√
x+
√
x
) =………………….
a) (1 / 2)
√
x+
√
x
b) (1/ 2) (x +
√
x
)
c) 1 / 2 (
√
x+
√
x
)
d) None
8.
d / dt (1 / t) =………………
a) - 1 / t
b) 1 / t
2
c) 1
d) - 1 / t
2
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