TS EAMCET · Maths · Continuity and Differentiability
If is differentiable on then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(C)
Step-by-step Solution
Detailed explanation
Given: fx=ax+b, if x≤1ax2+c, if 1<x≤2dx2+1x, if x≥2 is differentiable on R So fx should be continuous on R Now continuity at x=1 f1-=f1+=f1 ⇒a+b=a+c⇒b=c ...i Now continuity at x=2 f2-=f2+=f2…
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