Q) If e^(−𝑥)+e^(−y)=2, then dy/dx isCBSE Class 12 Maths PYQ 2026 | Continuity of

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

Q) If y=(x+√(1+x^2 ))^n, then show that (1+𝑥^2 ) (𝑑^2 𝑦)/(𝑑𝑥^2 )+𝑥 𝑑𝑦/𝑑𝑥=𝑛^2 𝑦 #cbse

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) If sin^(−1) 𝑥=𝑦,then 𝑑𝑦/𝑑𝑥 is #maths #continuityanddifferentiabilityclass12 #class12 #cbse

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

Q) If 𝑥=cos t,y=cos mt, prove that (1−𝑥^2 )(d^2 y)/(d𝑥^2 )−𝑥 dy/d𝑥+m^2 y=0 #mathshorts #maths

Q) Find dy/dx, if y=tan^(−1) ((1+sinx)/cosx) #cbseclass12 #cbse2026 #maths # #mathsschool

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