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

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

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

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) 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

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

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

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

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

If √𝑥+√𝑦=√𝑎, then 𝑑𝑦/𝑑𝑥 is(A) (−√𝑥)/√y(B) −1/2 √𝑦/√𝑥(C) −√𝑦/√𝑥(D) (−2√𝑦)/√𝑥 #maths

Q) Find whether the function 𝑓(𝑥)={(𝑥−1, 𝑥=2 2𝑥−3, 𝑥≥2) at 𝑥=2 is differentiable or not.

JThe number of points of discontinuity f(x) = {(|𝐱|+𝟑, 𝐢𝐟 𝐱≤−𝟑 −𝟐𝐱, 𝐢𝐟 −𝟑=𝐱=𝟑 𝟔𝐱+𝟐,