Q54 | Differentiate log⁡(x+√(x^2+1)) | Derivative of log⁡(x+√(x2+1)) | log x + under root x square+1

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if y=log(x+√(x^2+1)) prove that (x^2+1)y2+xy1=0 || Differentiate log⁡(x+√(x^2+1))

Q191 | Differentiate log⁡(x+2+√(x^2+4x+1))

Q) If 𝑦=lo𝑔(√𝑥+1/√𝑥)^2, then show that 𝑥(𝑥+1)^2 𝑦_2+(𝑥+1)^2 𝑦_1=2 CBSEPYQ2025 #cbse2026#cbseclass12

if y=[log(x+√(x^2+1))]^2 prove that (x^2+1)y2+xy1=0 || Differentiate log⁡(x+√(x^2+1))

Q6 | Differentiate log⁡(x+√(1+x^2))

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If y=log(root x+1/root x)^2 then prove that x(x+1)^2 d2y/dx2 + (x+1)^2 dy/dx = 2 / Differentiation