Question
Question: Let f (x) be a function such that f (x), f ¢ (x), f ¢¢ (x) are in G.P. then f (x) is a <img src="ht...
Let f (x) be a function such that f (x), f ¢ (x), f ¢¢ (x) are in G.P. then f (x) is a
A
Constant function
B
Logarithm function
C
Exponential function
D
None of these
Answer
Exponential function
Explanation
Solution
f(x). f ¢(x), f¢¢ (x) are in G.P.
Ž 
log | f (x) | = log f ¢ (x)
Ž f ¢(x) = f (x)
Ž f(x) = ex