1.

Let f:R→R be a differentiable function with f(0)=1 and satisfying the equation f(x+y)=f(x)f′(y)+f′(x)f(y) for all x,y∈R. Then, the value of loge(f(4)) is

Answer» Let f:RR be a differentiable function with f(0)=1 and satisfying the equation
f(x+y)=f(x)f(y)+f(x)f(y) for all x,yR.
Then, the value of loge(f(4)) is


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