Q) Let 𝑓 be a twice differentiable non-negative function such that (𝑓(𝑥))^2=25+∫_0^𝑥 ((𝑓(𝑡)

Can a function be continuous but not differentiable? 🤔 #maths #youtubeshorts #education

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Let f be a twice differentiable function such thatf(x)=∫0^xtan⁡(t-x)dt-∫0^x f(t)tan⁡tdt,x∈(-π/2,π/2

Let f:R→R be a differentiable function such that f((x+y)/3)=(f(x)+f(y))/3 for all x,y∈R, and f^' (0)