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

Q) Differentiate y=log(𝑥+√(𝑥^2+a^2 )) w.r.t. 𝑥.#cbseclass12 #cbse2027 #maths #cbse # #maths

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

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

Once a Church, Always a Church — Ayasofya in Constantinople

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

Q) Check whether function f(x) defined as f(𝑥)={((|𝑥−3|)/(2(𝑥−3)), 𝑥=3 (𝑥−6)/6,𝑥≥3) Is

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

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