Continuity of Piecewise Functions — Determining Continuity

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

Q) The values of 𝑥 for which the derivative of the function 𝑦=𝑥^4 is greater than the value o

Q) 𝑑/𝑑𝑥 [ 𝑐𝑜𝑠 ( 𝑙𝑜𝑔 𝑥+ 𝑒^(𝑥 ) ) ] 𝑎𝑡 𝑥=1 #cbse2027 #maths #cbse #cbseclass12

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

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 𝑦=logtan(𝜋/4+𝑥/2), then prove that 𝑑𝑦/𝑑𝑥−sec𝒙=𝟎 #cbse2027 #maths #differentiation

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