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

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

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

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

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

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

Find the values of 𝛌 if the function 𝐟(𝐱)={((〖𝐬𝐢𝐧^𝟐 𝛌𝐱)/𝐱^𝟐 , 𝐢𝐟 𝐱≠𝟎 𝟏, 𝐢𝐟 𝐱=𝟎)

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

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) If 𝑓(𝑥)={(sin𝑥/𝑥+cos𝑥, 𝑥≠0 𝑘, 𝑥=0) is continuous at 𝑥=0, then the value of 𝑘 is :

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

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