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Suppose f and g are functions having second derivatives f'' and g'' every where . If f(x) .g(x) = 1 for all x and f' and g' are never zero then `(f''(x))/(f'(x))-(g''(x))/(g'(x))` equals

A

`(-2f'(x))/(f(x))`

B

`(2g'(x))/(g(x))`

C

`-(f'(x))/(f(x))`

D

`(2f'(x))/(f(x))`

Text Solution

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The correct Answer is:
B, D
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AAKASH SERIES-DIFFRENTATION-ADDITIONAL PRACTICE EXERCISE (PRACTICE SHEET (ADVANCED)) (More than One correct answer Type Questions)
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  2. If a function is represented parametrically by the equations x=(1+log(...

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