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

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

For what value of k, the function given below is continuous at x = 0? 𝐟(𝐱)={((√(𝟒+𝐱)−𝟐)/𝐱,

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) 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

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

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