A function f: R \\toR satisfies the relation f(x+y)=f(x) \.f(y), \forallx, y \\inR and f(x) \\neq 0, \\forallx \\inR. If f ' is differentiable at x=0, f'(0)=4 and f(6)=3, then f'(6)= ______

AP EAPCET 24-Aug-2021 Shift 1 Paper

Section: Mathematics

Question : 67 of 160

Marks: +1, -0

A function f:R→R satisfies the relation f(x+y)=f(x).f(y), ‌∀x,y∈R and f(x)≠ 0,∀x∈R. If f ' is differentiable at x=0,f′(0)=4 and f(6)=3, then f′(6)= ______

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