If the three functions f(x), g(x) and h(x) are such that h(x)=f(x) \cdot g(x) and f^{'}(x) \cdot g^{'}(x)=c, where c is a constant, then \frac{f^{' '}(x)}{f(x)}+\frac{g^{' '}(x)}{g(x)}+\frac{2 c}{f(x) \cdot g(x)} is equal to ......................

Correct Answer is : h′′(x)h(x)

KCET 2010 Math Solved Paper

Question : 39 of 60

Marks: +1, -0

If the three functions f(x),g(x) and h(x) are such that h(x)=f(x)⋅g(x) and f′(x)⋅g′(x)=c, where c is a constant, then ‌

f′′(x)

f(x)

+‌

g′′(x)

g(x)

+‌

f(x)⋅g(x)

is equal to ......................

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