Question
Question: If f(x) = x\left( \sqrt{x} - \sqrt{x + 1} \right), then...
If f(x) = x\left( \sqrt{x} - \sqrt{x + 1} \right), then
A
R f′(0) exits but L f′(0) does not exist
B
L f′(0) exists but R f′(0) does not exist
C
f(x) is differentiable at x = 0.
D
None of these
Answer
R f′(0) exits but L f′(0) does not exist
Explanation
Solution
Since domain of f(x) is [0, ∞),
Lf′(0–) does not exist