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Math 12 Chapter 2
Differentiation
Test - 9
1.
d/dx (lnx
2
) = ……………..
a) 1/x
2
b) 2/x
2
c) 1/x
d) 2/x
2.
d/dx Sin
√
x
= ……………
a) Cos
√
x
b) (1/ 2
√
x
/ Cos
√
x
c) 1/2x Cos
√
x
d) Cos
√
x
√
x
3.
d/dx (Sin
-1
x) =…………..
a) -Sin
-2
x Cosx
b) - Sinx Cosx
c) 1/
√
x
2
-1
d) 1/
√
1-x
2
4.
d/dx (tan
-1
x) =………….
a) 1/ (x
2
+ 1)
b) 1/
√
x
2
+1
c) 1/
√
x
2
-1
d) 1/ (x
2
– 1)
5.
d/dx x
e
=………………
a) e
x
b) lnx
e
c) ex
e-1
d) x
e-1
6.
A function of has Max value if // (c) ……… 0 at x = c
a) >
b) <
c) =
d) ≤
7.
d/dx Cos hx = ……………
a) Sin hx
b) - Sin hx
c) h Sinhx
d) -h Sin hn
8.
d/dx Sin h
-1
x =…………
a) 1/ (x2 +1)
b) 1/
√
x
2
+1
c) - 1/(x
2
+1)
d) 1/(x
2
– 1)
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