Question:
Let f(x)=cases
ax²+1, & x>1
x+a, & x\le1
cases
Then f(x) is derivable at x=1, if
Let f(x)=cases
ax²+1, & x>1
x+a, & x\le1 cases Then f(x) is derivable at x=1, if
x+a, & x\le1 cases Then f(x) is derivable at x=1, if
Show Hint
Check continuity before differentiability.
Updated On: Mar 18, 2026
- a=2
- a=1
- a=0
- a=\frac12
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Step 1: For differentiability, function must be continuous.
Step 2: a+1=a(1)²+1 a=1
Step 3: Left and right derivatives are equal for a=1.
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