Let `f((x+y)/2)=(f(x)+f(y))/2` for all real x and y. If f'(0) exists and equals-1 and f(0)=1, f...

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Let f(x+y)/2=f(x)+f(y)/2 for all real x and y ,if f'(0) exists and equal to −1 and f(0)=1,findf(2)

Let `f((x+y)/2)=(f(x)+f(y))/2` for all real x and y. If f'(0) exists and equals-1 and f(0)=1, f...

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Q24 If 𝑓(𝑥 + 𝑦) = 𝑓(𝑥)𝑓(𝑦) for all 𝑥 , 𝑦 ∈ R and 𝑓(5)= 2, 𝑓 ′ (0) = 3, then using the definition of

Continuity and Differentiability

If f(x + y)=f(x) f(y) for all x ,y ⋳ R and f(5)=2 ,f'(0)=3 then using the definition of derivatives