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) If 𝑥𝑦=𝑒^(𝑥−𝑦), then find 𝑑𝑦/𝑑𝑥 #continuityanddifferentiabilityclass12 #maths #cbse2027

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

If 𝑥√(1+y)+y√(1+𝑥)=0,, then prove that dy/dx=(−1)/((1+x)^2 ) )#maths #cbse2026

Q) The value of 𝑘 for which the function 𝑓(𝑥)={(𝑥^2 sin 1/𝑥, 𝑥≠0 𝑘(𝑥+1), 𝑥=0) is a continuo

Differentiate (5^x/x^5 ) with respect to x #cbse2027 #maths #continuityanddifferentiabilityclass12

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

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