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

If 𝑓(𝑥)={ ((sin^2 𝑎𝑥)/𝑥^2 if 𝑥≠0 1 , if 𝑥=0) is continuous at 𝑥=0, then the value of ' 𝑎 ‘

Q) If 𝑓(𝑥)={(1,if 𝑥≤3 𝑎𝑥+𝑏, if 3 ≤𝑥≤ 7, if 5≤𝑥) is continuous in 𝑅, then the values of

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Q) Find the value of 𝑘, so that 𝑓(𝑥)={(𝑘cos𝑥/(𝜋−2𝑥), if 𝑥≠𝜋/2@3, if 𝑥=𝜋/2) is continu

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

Find the value of k for which the function 𝐟(𝐱)={((𝟏−𝐜𝐨𝐬𝐱)/(𝟐𝐱^𝟐 ), 𝐢𝐟 𝐱≠𝟎 𝐤, 𝐢𝐟

Q) Show that the function 𝑓(𝑥)={(cos𝑥/(−𝑥+𝜋/2), 𝑥≠𝜋/2 1, 𝑥=𝜋/2 is continuous at x=𝜋/2.

Q) If 𝑓(𝑥)={((1−sin^3 𝑥)/(3cos^2 𝑥), for 𝑥≠𝜋/2 𝑘, for 𝑥=𝜋/2) is continuous at 𝑥=𝜋/2, t

Q) The value of k for which f(x)={(sin7x/5x,x≠0 k,x=0) is continuous at x=0 is

If a function defined by 𝑓(𝑥)={(𝑘𝑥+1, 𝑥≤𝜋 cos𝑥 ,𝑥=𝜋) is continuous at 𝑥=𝜋, then the val

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Q) If 𝑦=𝑃cos 𝑢𝑥+𝑄sin 𝑢𝑥, show that (𝑑^2 𝑦)/(𝑑𝑥^2 )+𝑢^2 𝑦=0. #cbse2026 #maths #different