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 e^y (x+1)=1, prove that dy/dx=−e^y #cbseclass12 #cbse2027 #maths # #cbsenotes

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

Q) If 𝑦=logtan(𝜋/4+𝑥/2), then prove that 𝑑𝑦/𝑑𝑥−sec𝒙=𝟎 #cbse2027 #maths #differentiation

Q) If 𝑦=log[tan(𝜋/4+𝑥/2)], then 𝑑𝑦/𝑑𝑥 is :(a) secx(b) cosec𝑥(c) tanx

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

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 y=(x+√(1+x^2 ))^n, then show that (1+𝑥^2 ) (𝑑^2 𝑦)/(𝑑𝑥^2 )+𝑥 𝑑𝑦/𝑑𝑥=𝑛^2 𝑦 #cbse