If 𝑦=log_2𝑥 (√2𝑥), then 𝑑𝑦/𝑑𝑥 is equal to (A) 0(B) 1(C) 1/x(D) 1/√2𝑥

Q) If 𝑦=𝑃cos 𝑢𝑥+𝑄sin 𝑢𝑥, show that (𝑑^2 𝑦)/(𝑑𝑥^2 )+𝑢^2 𝑦=0. #cbse2026 #maths #different

Q) If 2cos^(−1) x=y, then dy/dx is #continuity_and_differentiability #maths #cbsemaths #cbse2027

Q) If y√(x^2+1)=log√(x^2+1)−x, show that (𝑥^2+1) 𝑑𝑦/𝑑𝑥+𝑥𝑦+1=0.

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

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

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

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

The value of constant c that makes the function f defined by 𝐟(𝐱)={(𝐱^𝟐−𝐜^𝟐, 𝐢𝐟 𝐱=𝟒 𝐜𝐱

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

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