Q) Determine a and b if f(x) is a continuous function, where 𝑓(𝑥)={(2, ≤3 𝑎𝑥+𝑏, 3=𝑥=5 5, 𝑥≥5)

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,

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Q) Find dy/dx, if y=tan^(−1) ((1+sinx)/cosx) #cbseclass12 #cbse2026 #maths # #mathsschool

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

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 ‘