21 how to check continuity & differentiability of function f(x,y)=(xy^2)/(x+y)

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

Q) Check the differentiability of f(x) = |cos x| at x = 𝝅/𝟐#cbse2026 #cbse2026 #maths

TQ) Let 𝛼,𝛽∈ℝ be such that the function. 𝑓(𝑥)={(2𝛼(𝑥^2−2)+2𝛽𝑥&,𝑥1 (𝛼+3)𝑥+(𝛼−𝛽)&,𝑥≥1)

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

Q) Check whether function f(x) defined as f(𝑥)={((|𝑥−3|)/(2(𝑥−3)), 𝑥=3 (𝑥−6)/6,𝑥≥3) Is

Q) Let 𝑓:R→(0,∞) be a twice differentiable function such that f(3)=18,f^′ (3)=0 and f^′′ (3)=4.

Continuity and Differentiability of a function by drawing the graph

*Differentiability Class 12 | 10 Sec Revision | LHL = RHL Condition Explained*🔥🔥🔥