Differentiable if ✅1. continuous AND ✅2. smooth 🤓🤓 #apcalculus #apcalc #unit2 #shorts

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

Q) Let 𝑓:[1,∞)→ℝ be a differentiable function, If 6∫_1^𝑥 𝑓(𝑡)𝑑𝑡=3𝑥𝑓(𝑥)+𝑥^3−4 for all x≥1,

Calc I Final Exams, Question 3, find constants so the function is differentiable. #math #maths

Function Differentiability l CSIR NET MATHEMATICS l IFAS

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

Q) Let 𝑓:𝐑→𝐑 be a twice differentiable function such that 𝑓^′′ (x)=0 for all x∈𝐑 and

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

When is a function not differentiable?

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)

Let 𝑓 be a diff function 𝑓(𝑥)=1−2𝑥+∫𝑥 e^((𝑥−𝑡)) 𝑓(𝑡)dt and let 𝑔(𝑥)=∫𝑥 (𝑓(𝑡)+2)^15 (𝑡−4)^6 (𝑡+12)^17

Q) Let f be a differentiable function on 𝐑 such that f(2)1, 𝑓^′ (2)=4. Let lim(𝑥→0) (𝑓(2+𝑥))^(3

When Is a Function Differentiable?

Calculus Part 3-What is Differentiability? 🤔 Explained Simply