Let f and g be two differentiable functions such that f′(x)=ϕ(x) an – InterviewSolution

1.	Let f and g be two differentiable functions such that f′(x)=ϕ(x) and ϕ′(x)=f(x) for all real x. If f(3)=5 and f′(3)=4, then the value of (f(10))2−(ϕ(10))2 is
Answer» Let $f$ and $g$ be two differentiable functions such that $f^{'} (x) = ϕ (x)$ and $ϕ^{'} (x) = f (x)$ for all real $x .$ If $f (3) = 5$ and $f^{'} (3) = 4,$ then the value of $(f (10))^{2} - (ϕ (10))^{2}$ is

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