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) Determine a and b if f(x) is a continuous function, where 𝑓(𝑥)={(2, ≤3 𝑎𝑥+𝑏, 3=𝑥=5 5, 𝑥≥5)

Q) Differential of 𝑒^(𝑒^𝑥 ) with respect to x is #continuityanddifferentiabilityclass12 #cbse202

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

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

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

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