Question

Let g(x) = x f(x), where $f(x)=\{\begin{array}{ll}x\sin \frac{1}{x},& x\ne 0\\ 0,& x=0\end{array}$. At x = 0

• A. g is differentiable but g' is not continuous
• B. g is differentiable while f is not
• C. both f and g are differentiable
• D. g is differentiable and g' is continuous

Answer 1

Answer: (A), (B)

Correct answer is (a) g is differentiable but g' is not continuousCorrect answer is (b) g is differentiable while f is not