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

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

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

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

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 e^(𝑥+y)=3𝑥, then dy/d𝑥 is #maths #differentiation #cbse2026 #cbse2027

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

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