Continuity of Piecewise Functions — Determining Continuity

Q) If tan^(−1) 𝑥=𝑦, then 𝑑𝑦/𝑑𝑥 is equal to #continuity_and_differentiability #maths #cbse

Q) If 2cos^(−1) x=y, then dy/dx is #continuity_and_differentiability #maths #cbsemaths #cbse2027

Q) If tan^(−1) 𝑥=𝑦, then 𝑑𝑦/𝑑𝑥 is equal to #continuity_and_differentiability #maths #

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Q) If 𝑓(𝑥)={(3𝑎𝑥−𝑏 ,𝑥=1 ,𝑥=1 −5𝑎𝑥−2𝑏 ,𝑥=1) is continuous at 𝑥=1, then the values of 𝑎

Q) Show that the derivative of tan^(−1) (sec𝑥+tan𝑥),[−𝜋/2𝑥𝜋/2] with respect to x is equal to 1

Q) If 𝑦=sin^(−1) {𝑥/√(𝑥^2+1)}, find 𝑑𝑦/𝑑𝑥. #cbseclass12 #maths #cbse2026 #cbse2027 #cbse

Q) If 2𝑦^3+𝑦=2𝑥, then show (𝑑^2 𝑦)/(𝑑𝑥^2 )=(−48𝑦)/(6𝑦^2+1)^3 #cbse2027 #cbseclass12 #mat

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