GATE CSE
First time here? Checkout the FAQ!
x
0 votes
61 views

The function $f(x)$ defined by 

$f(x)
= \begin{cases}
ax+b & \text{x ≥ 1 }  \\
 x^{2}+3x+3& \text{x ≤ 1}  
\end{cases}$

is differentiable 

  1. For a unique value of a and infinitely many values of $b$. 
  2. For a unique value of $b$ and infinitely many values of $a$.
  3. For infinitely many values of $a$ and $b$.
  4. None of the above.
asked in Calculus by Veteran (29.2k points)   | 61 views

1 Answer

0 votes
d) a=5

b=2
answered by Junior (717 points)  
Explain plz
Simply I did it like

continuous at 1 TF value , a+b=7

and also differntiable TF , diffrentiated and kept x=1

a=5


Top Users Apr 2017
  1. akash.dinkar12

    3660 Points

  2. Divya Bharti

    2580 Points

  3. Deepthi_ts

    2040 Points

  4. rude

    1966 Points

  5. Tesla!

    1768 Points

  6. Debashish Deka

    1614 Points

  7. Shubham Sharma 2

    1610 Points

  8. Prashant.

    1492 Points

  9. Arjun

    1472 Points

  10. Arunav Khare

    1464 Points

Monthly Topper: Rs. 500 gift card

22,086 questions
28,063 answers
63,297 comments
24,169 users