Page 263 - DMTH201_Basic Mathematics-1

Basic Mathematics – I

Notes 2
x 1 4x
2 x 2 1 x 2 1 x 2 1 x 2 1

2x
x 2 1 x 2 1 x 2 1

2x
x 2 1 x 2 1 x 2 1

2x
x 2 1 x 4 1

2 3x
8. log
2 3x
2 3x
Solution: Let y log
2 3x
dy 1 2 3x 3 2 3x 3
dx 2 3x 2 3x 2
2 3x
2 3x 12
2 3x 2 3x 2

12
2 3x 2 3x

12
4 9x 2

9. log(log )
x
x
Solution: Let y log(log )
dy 1 d
logx
dx log x dx
1 1 1
logx x x logx

10. 3 2 3x
Solution: Let y 3 2 3x

1
y 2x 3 3
dy 1 1 1 d
2 3x 3 2 3x
dx 3 dx

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