Grade 12Differential Calculus
how we proof f(x*y)=f(x)+f(y) this implies f(x)=k*ln(x)
how we proof f(x*y)=f(x)+f(y) this implies f(x)=k*ln(x)
1 Answer
saiomkar kandukuri
by partial differentiation
differentiate wrt to x
f''(xy)*y=f''(x)
differentiate wrt to y
f''(xy)*x=f''(y)
divide we get f''(x)x =f''(y)y =k
integrate the first one then weget f(x)=k*ln(x)
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